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doc. Ing. Petr Hušek, Ph.D.

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On Monotonic Radial Basis Function Networks

  • DOI: 10.1109/TCYB.2022.3185827
  • Odkaz: https://doi.org/10.1109/TCYB.2022.3185827
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    This article deals with monotonicity conditions for radial basis function (RBF) networks. Two architectures of RBF networks are considered-1) unnormalized network with a local character of the basis function and 2) a normalized network where the value of RBF is taken relatively with respect to the others. Different approaches are followed for each of them. For the former, monotonicity is enforced in prescribed points whereas for the latter sufficient monotonicity conditions are formulated. In both cases, the monotonicity conditions are expressed as linear constraints on the network weights that enable efficient solving of the related optimization problems. Many illustrative examples are presented to show the advantages of incorporating prior information in the form of monotonicity.

Monotonic Takagi-Sugeno models with cubic spline membership functions

  • DOI: 10.1016/j.eswa.2021.115997
  • Odkaz: https://doi.org/10.1016/j.eswa.2021.115997
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In the paper we present sufficient monotonicity conditions for zero order Takagi-Sugeno fuzzy systems with cubic spline membership functions. Those fuzzy models have some advantages comparing with commonly used membership functions. In contrast to triangular membership functions the corresponding mapping is smooth. Comparing to Gaussian membership functions the monotonicity conditions are less conservative, more intuitive and admit membership functions with different width. Finally, the derived monotonicity conditions are formulated as linear constraints on the parameters of fuzzy system that can be easily incorporated into related optimization problems solvable by efficient algorithms. Performance of the proposed fuzzy system is tested on two benchmark datasets and output prediction of a nonlinear dynamical system.

System Identification Using Monotonic Fuzzy Models

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Studies in Fuzziness and Soft Computing. Wien: Springer, 2021. p. 229-242. ISSN 1434-9922. ISBN 978-3-030-47124-8.
  • Rok: 2021
  • DOI: 10.1007/978-3-030-47124-8_19
  • Odkaz: https://doi.org/10.1007/978-3-030-47124-8_19
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    Fuzzy models became very popular tool for identification of nonlinear systems from input-output data. Unfortunately, their behaviour is considerably deteriorated in the regions where the data is sparse or contaminated by a noise. The paper shows that when a nonlinear function describing the systems is monotonic then a fuzzy system guaranteeing monotonicity significantly improves the performance of the fuzzy model. Furthermore, sufficient conditions for monotonicity of Takagi-Sugeno fuzzy systems with Gaussian membership functions are derived.

Monotone Mamdani-type fuzzy systems with ellipsoidal antecedents

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proccedings of 16th IEEE International Conference on Control and Automation. Vienna: IEEE Industrial Electronic Society, 2020. p. 1636-1641. ISSN 1948-3457. ISBN 978-1-7281-9093-8.
  • Rok: 2020
  • DOI: 10.1109/ICCA51439.2020.9264324
  • Odkaz: https://doi.org/10.1109/ICCA51439.2020.9264324
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with monotonicity conditions for Mamdani-type fuzzy systems where the antecedents of the rules are described by ellipsoidal regions. Such systems occur e. g. when clustering algorithms are used for partitioning the input data. The proposed algorithm is compared with non-monotonic fuzzy logic based multivariate regressor on few examples. The comparison shows that using the information about monotonicity may improve the regression.

Nonlinear kalman filter by hermite-gauss quadrature

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Stecha, J.
  • Publikace: Proceedings of 20th International Conference on Control, Automation and Systems. Los Alamitos: IEEE Computer Society, 2020. p. 637-642. ISSN 1598-7833. ISBN 978-89-93215-20-5.
  • Rok: 2020
  • DOI: 10.23919/ICCAS50221.2020.9268306
  • Odkaz: https://doi.org/10.23919/ICCAS50221.2020.9268306
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    Kalman filter became a popular tool for state estimation of linear dynamical systems especially due to its simplicity. However in the case of nonlinear systems its realization is more complicated. Commonly used approach called Extended Kalman filter consists in local approximation based on linearization. Another possibility is to approximate the corresponding integrals using some feasible procedures. In this paper we apply Gauss-Hermite Quadrature for state estimation of nonlinear systems and compare its accuracy with Extended Kalman filter. © 2020 Institute of Control, Robotics, and Systems - ICROS.

Monotonic Normalized Radial Basis Function Networks

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: 2019 IEEE Symposium Series on Computational Intelligence, SSCI 2019. Institute of Electrical and Electronics Engineers, Inc., 2019. p. 3118-3123. ISBN 9781728124858.
  • Rok: 2019
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In the paper we address the problem of deriving monotonicity conditions for normalized radial basis function networks. For general shape of the kernels the necessary conditions are expressed as trivial inequalities imposed on the kernel weights together with set of linear inequalities on elements of matrices describing the kernels. If the shape is considered to be the same for all kernels the conditions become simple and intuitive. Two examples are given to demonstrate benefit of incorporation of information about monotonicity.

Monotonic Smooth Takagi-Sugeno Fuzzy Systems With Fuzzy Sets With Compact Support

  • DOI: 10.1109/TFUZZ.2019.2892355
  • Odkaz: https://doi.org/10.1109/TFUZZ.2019.2892355
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper, sufficient conditions on monotonicity of Takagi-Sugeno (T-S) fuzzy systems with linear consequent parts with smooth membership functions with compact support (i.e., equal to zero outside a compact set) are derived. The presented conditions considerably reduce conservatism of those known for T-S fuzzy systems utilizing membership functions with the support that is not compact. Resides, two illustrative examples will demonstrate that the monotonicity requirement imposed on fuzzy systems may significantly improve their extrapolation capability.

Low-Complexity Decentralized Active Damping of One-Dimensional Structures

  • DOI: 10.1155/2018/6421604
  • Odkaz: https://doi.org/10.1155/2018/6421604
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In the paper, we propose distributed feedback control laws for active damping of one-dimensional mechanical structures equipped with dense arrays of force actuators and position and velocity sensors. We consider proportional position and velocity feedback from the neighboring nodes with symmetric gains. Achievable control performance with respect to stability margin and damping ratio is discussed. Compared to full-featured complex controllers obtained by modern design methods like LQG, H-infinity, or mu-synthesis, these simplistic controllers are more suitable for experimental fine tuning and are less case-dependent, and they shall be easier to implement on the target future smart-material platforms.

Monotonicity conditions for radial basis function networks

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of the IEEE Symposium Series on Computational Intelligence 2018. Piscataway, NJ: IEEE, 2018. p. 168-173. ISBN 978-1-5386-9276-9.
  • Rok: 2018
  • DOI: 10.1109/SSCI.2018.8628878
  • Odkaz: https://doi.org/10.1109/SSCI.2018.8628878
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper presents a way how to impose monotonicity requirement on radial basis function networks. Monotonicity conditions are expressed as linear constraints on the network weights that enables efficient solving of the related optimization problems. Two illustrative examples are given to demonstrate advantages of incorporation a prior information in the form of monotonicity.

System identification using monotonic fuzzy models

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proccedings of the 7th World Conference on Soft Computing. Baku: Azerbaijan Technical University, 2018.
  • Rok: 2018
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    Fuzzy models became very popular tool for identification of nonlinear systems from input-output data. Unfortunately, their behaviour is considerably deteriorated in the regions where the data is sparse or contaminated by a noise. The paper shows that when a nonlinear function describing the systems is monotonic then a fuzzy system guaranteeing monotonicity significantly improves the performance of the fuzzy model. Furthermore, sufficient conditions for monotonicity of Takagi-Sugeno fuzzy systems with Gaussian membership functions are derived.

Adaptive sliding mode control with moving sliding surface

  • DOI: 10.1016/j.asoc.2016.01.009
  • Odkaz: https://doi.org/10.1016/j.asoc.2016.01.009
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    A continuous sliding mode control with moving sliding surface for nonlinear systems of arbitrary order is presented in this paper. The sliding surface is moved repetitively toward the target sliding surface in order to ensure that the system trajectory is close to the actual surface during the whole control process. The parameters of sliding mode control are tuned by a fuzzy logic. The proposed procedure reduces the time when the system operates in the approaching phase during which the control performance is deteriorated since the system is more susceptible to external disturbances and model uncertainties. The effectiveness of the presented approach is demonstrated on a control of a flexible robot manipulator arm.

Aircraft longitudinal motion control based on Takagi-Sugeno fuzzy model

  • DOI: 10.1016/j.asoc.2016.07.038
  • Odkaz: https://doi.org/10.1016/j.asoc.2016.07.038
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    Fuzzy logic control of longitudinal motion of an aircraft based on Takagi-Sugeno modelling approach is presented in this paper. Takagi-Sugeno model of the motion along the desired trajectory is used for state-space parallel decomposition controller (PDC) design. The proposed control scheme guarantees stability of closed loop and asymptotical step pitch angle reference signal tracking. Simulation results on twin-engine short-range transport aircraft LET L410 indicate that the proposed control law can represent a feasible aircraft motion control technique and especially in presence of model inaccuracies and disturbances it overcomes the most commonly used approaches.

Low-complexity control laws for active damping of smart structures with heavily distributed actuators and sensors

  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    First results are reported on feasibility of simple feedback control laws for active damping of mechanical structures equipped with dense arrays of force actuators and velocity sensors. Proportional decentralized and distributed control laws, characterized by a very small number of parameters (one or two) are considered. Compared to full-featured complex controllers, obtained by modern design methods like LQG, H-infinity, musynthesis, these simplistic controllers are more suitable for experimental finetuning, are less case-dependent, and they shall be easier to implement on the target future smart-material platforms.

On monotonicity of takagi-sugeno fuzzy systems with ellipsoidal regions

  • DOI: 10.1109/TFUZZ.2016.2540064
  • Odkaz: https://doi.org/10.1109/TFUZZ.2016.2540064
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    This paper presents sufficient conditions on monotonicity of a Takagi-Sugeno (T-S) fuzzy system with linear submodels in the consequents of the rules where the input space is considered to be partitioned to ellipsoidal regions. Such regions commonly arise in practice if clustering algorithms are used to identify a fuzzy model from measured data. By the monotonicity, it is meant that the partial derivatives of the output of the mapping represented by the fuzzy model with respect to all inputs are nonnegative on a given universe of discourse. The conditions are given in the form of linear matrix inequalities with respect to the parameters of the submodels that may be useful in solving associated optimization problems via efficient semidefinite programming techniques. The proposed conditions reduce conservatism of the existing ones from two reasons. First, the conservatism is introduced only once, since the conditions are not separated between antecedent and consequent parts of fuzzy rules. Second, the domain of interest where monotonicity is enforced may be restricted. The proposed algorithm is illustrated on least-squares approximation of a multivariate function by a monotonic T-S fuzzy system.

Recursive least square approximation using monotonic fuzzy systems

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: IEEE International Symposium on Intelligent Control. Piscataway, NJ: IEEE, 2016. pp. 693-698. ISBN 978-1-5090-2051-5.
  • Rok: 2016
  • DOI: 10.1109/ISIC.2016.7579991
  • Odkaz: https://doi.org/10.1109/ISIC.2016.7579991
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    Recursive least squares algorithms for approximation of a multivariate nonlinear function by a fuzzy system guaranteeing monotonicity of the corresponding mapping with respect to individual inputs are presented in this paper. Since the exact solution suffers from high computationally complexity two approximating solutions are presented as well. Two illustrative examples are given to compare the algorithms and to demonstrate the benefit of fuzzy systems preserving monotonicity.

Adaptive fuzzy sliding mode control for uncertain nonlinear systems

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of the ACODS 2014. Kanpur: Indian Institute of Technology Kanpur, 2014, pp. 540-545. ISSN 1474-6670.
  • Rok: 2014
  • DOI: 10.3182/20140313-3-IN-3024.00114
  • Odkaz: https://doi.org/10.3182/20140313-3-IN-3024.00114
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    An application of adaptive fuzzy sliding mode control is presented in this paper. The parameters of sliding mode control (the extended feedback gain and switching gain) are adapted during the control process using a fuzzy self-learning mechanism such that better control performance in comparison with sliding mode control with fixed parameters without chattering is achieved. Moreover, the nonlinear functions describing state space model of the controlled plant do not need to be known. The method is applied on control of a laboratory model of a pendulum on a cart.

Decentralized PI Controller Design Based on Phase Margin Specifications

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY. 2014, 22(1), 346-351. ISSN 1063-6536.
  • Rok: 2014
  • DOI: 10.1109/TCST.2013.2248060
  • Odkaz: https://doi.org/10.1109/TCST.2013.2248060
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    An effective method for design and tuning of decentralized PI controllers for stable multi-input, multi-output systems is presented in this brief. The direct Nyquist array is applied to shape the Gershgorin bands for each loop separately such that they pass through a specified point corresponding to phase margin specification that is used as a single tuning parameter. The procedure is applied on the control of a laboratory model of quadruple-tank system.

PID controller design for hydraulic turbine based on sensitivity margin specifications

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: International Journal of Electrical Power and Energy Systems. 2014, 55 460-466. ISSN 0142-0615.
  • Rok: 2014
  • DOI: 10.1016/j.ijepes.2013.09.029
  • Odkaz: https://doi.org/10.1016/j.ijepes.2013.09.029
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper presents a proportional-integral-derivative (PID) controller design procedure for a hydraulic turbine generator governor meeting sensitivity margin specifications. The closed-loop performance is guaranteed over wide range of operating conditions of the interconnected system. The main advantage of the proposed method consists in the simple design using only one tuning parameter. The control performance of the presented method is compared on simulations with the procedure guaranteing gain and phase margins using non-convex optimization.

Robust Decentralized PI Control Design

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Kučera, V.
  • Publikace: Proceedings of The 19th World Congress of the International Federation of Automatic Control. Pretoria: IFAC, 2014. pp. 4699-4703. ISSN 1474-6670. ISBN 978-3-902823-62-5.
  • Rok: 2014
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    A method for decentralized PI controller design for stable MIMO plants is presented. Each loop is designed individually by shaping the Gershgorin bands so that they avoid the circle with a prescribed radius centered in the critical point. The radius is used as a tuning parameter. The proposed procedure guarantees stability and robustness of the closed loop. A simulation example is provided to demonstrate the performance of the proposed method.

Self-learning Control for Servo Drives in Forming Technologies

  • Autoři: Hoffmann, M., doc. Ing. Petr Hušek, Ph.D., Koriath, H.-J., Kučera, V., Priber, U.
  • Publikace: Mechatronics 2013 - Recent Technological and Scientific Advances. Berlin: Springer-Verlag, 2014. p. 641-652. ISBN 978-3-319-02294-9.
  • Rok: 2014
  • DOI: 10.1007/978-3-319-02294-9_81
  • Odkaz: https://doi.org/10.1007/978-3-319-02294-9_81
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    At present, wrinkles, fissures, folds, scratches, etc. are checked visually. This may result in doubtful quality of final product, unnecessary waste, etc. This paper describes a comprehensive approach to increase the quality and efficiency of the metal forming processes by introducing a self-learning process control solution. Energy control, intelligent dies (with multiple of sensors), open architecture motion control systems, adaptronic force oscillation, are included.

Fuzzy Control of a Helio-Crane

  • Autoři: Zdešar, A., Cerman, O., Dovzan, D., doc. Ing. Petr Hušek, Ph.D., Skrjanc, D.
  • Publikace: Journal of Intelligent and Robotic Systems. 2013, 72(3-4), 497-515. ISSN 0921-0296.
  • Rok: 2013
  • DOI: 10.1007/s10846-012-9796-0
  • Odkaz: https://doi.org/10.1007/s10846-012-9796-0
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper we present a comparison of two fuzzy-control approaches that were developed for use on a non-linear single-input single-output (SISO) system. The first method is Fuzzy Model Reference Learning Control (FMRLC) with a modified adaptation mechanism that tunes the fuzzy inverse model. The basic idea of this method is based on shifting the output membership functions in the fuzzy controller and in the fuzzy inverse model. The second approach is a 2 degrees-of-freedom (2 DOF) control that is based on the Takagi-Sugeno fuzzy model. The T-S fuzzy model is obtained by identification of evolving fuzzy model and then used in the feed-forward and feedback parts of the controller. An error-model predictive-control approach is used for the design of the feedback loop. The controllers were compared on a non-linear second-order SISO system named the helio-crane. We compared the performance of the reference tracking in a simulation environment and on a real system. Both methods provided acceptable tracking performance during the simulation, but on the real system the 2 DOF FMPC gave better results than the FMRLC.

Fuzzy model reference control with adaptation of input fuzzy sets

  • DOI: 10.1016/j.knosys.2013.05.004
  • Odkaz: https://doi.org/10.1016/j.knosys.2013.05.004
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    An improved adaptation mechanism to fuzzy model reference learning control (FMRLC) will be introduced in this paper. The main idea of the presented approach consists in including the controller input fuzzy sets into the adaptation process. In comparison with other FMRLC modifications the proposed method can be started with smaller number of input membership functions resulting in better reference signal tracking. Performance of the proposed procedure is demonstrated on control of a nonlinear laboratory system.

Robust PI controller design with respect to fuzzy sensitivity margins

  • DOI: 10.1016/j.asoc.2012.11.037
  • Odkaz: https://doi.org/10.1016/j.asoc.2012.11.037
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with PI controller design for linear systems with parametric uncertainty with respect to sensitivity margin. The plant is considered as possibility distribution on a plant space and the closed loop specifications are given in terms of the peak of sensitivity function described by fuzzy numbers. The controller design is understood as the inclusion of respective alpha-cuts. Such consideration makes it possible to degrade the closed loop specifications towards the uncertainty that occurs very rarely. The proposed procedure is applied on the speed control of a hydraulic turbine - a non-minimum phase system.

Adaptive fuzzy sliding mode control for electro-hydraulic servo mechanism

  • Autoři: Cerman, O., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: International Journal on Expert Systems with Applications. 2012, 39(11), 10269-10277. ISSN 0957-4174.
  • Rok: 2012
  • DOI: 10.1016/j.eswa.2012.02.172
  • Odkaz: https://doi.org/10.1016/j.eswa.2012.02.172
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    An innovative approach to adaptive fuzzy sliding mode control for a~class of SISO continuous nonlinear systems with unknown dynamics and bounded disturbances is introduced in this paper. The main idea of the presented method consists in the introduction of the fuzzy self-tuning mechanism for adaptation of the sliding mode control parameters -- extended feedback and switching gains. Such modification reduces the well-known chattering problem in classical sliding mode control. In comparison with the other algorithms eliminating this problem the proposed method results in faster convergence and more transparent and interpretable design of self-tuning mechanism. Moreover, the proposed method guaranteing the asymptotic reference signal tracking with bounded system signals can be easily implemented to high order systems. The performance of the presented control design is demonstrated on control of a nonlinear electro-hydraulic servo mechanism.

Modelling ellipsoidal uncertainty by multidimensional fuzzy sets

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: International Journal on Expert Systems with Applications. 2012, 39(8), 6967-6971. ISSN 0957-4174.
  • Rok: 2012
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper addresses the problem of an aggregation of knowledge obtained from many sets of experiments each with different confidence level during identification of a linear dynamical system with uncertain parameters. The proposed approach describes the parameter space by a multidimensional fuzzy set specified by non-symmetric ellipsoidal $\alpha$-cuts. An algorithm for determination of minimum confidence level guaranteeing stability of such a system is presented.

Modified Fuzzy Model Reference Learning Control

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Cerman, O.
  • Publikace: CLCA 2012 Proceedings. Lima: Pontificia Universidad Catolica, 2012, pp. 58-62. ISBN 978-612-4057-71-7.
  • Rok: 2012
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper presents two modifications of fuzzy model reference learning control (FMRLC) method resulting in faster adaptation of the fuzzy rule base and therefore better tracking performance. The first one consists in using an additional information about the controlled plant that is used as an additional input to a fuzzy controller. The second modification introduces an adaptation mechanism for the inverse model which is a crucial part of FMRLC that is usually difficult to be determined. The proposed algorithm is applied on control of a nonlinear model of helio-crane.

Fuzzy model reference control using type-2 fuzzy systems in adaptation mechanism

  • Autoři: Cerman, O., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of International Siberian Conference on Control and Communication (SIBCON 2011). Tomsk: IEEE Tomsk Chapter, 2011, pp. 8-11. ISBN 978-1-4577-1069-8.
  • Rok: 2011
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper different approach to adaptation mechanism for fuzzy model reference learning control (FMRLC) method will be introduced. In comparison to original method the proposed procedure shows larger possibilities in design of FMRLC method. The main idea consists in new approach of design of the inverse model - an important part of FMRLC. This innovation is based on using more general fuzzy system in the inverse model, type-2 fuzzy system. Type-2 fuzzy systems are superior to classical fuzzy systems. From this reason using such systems in adaptation mechanism brings new possibilities. The advantages of the proposed modification are presented on control of magnetic suspension system and compared to FMRLC with convergent rule base.

Fuzzy Model Reference Learning Control with Modified Adaptation Mechanism

  • Autoři: Cerman, O., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of 7th International Conference on Natural Computation. Piscataway: IEEE, 2011, pp. 128-133. ISBN 978-1-4244-9951-9.
  • Rok: 2011
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper different approach to adaptation mechanism for fuzzy model reference learning control (FMRLC) method will be introduced. In comparison to original method the proposed procedure shows larger robustness to responses to initial conditions and various reference signals. The main idea consists in adaptation of the inverse model - an important part of FMRLC. Moreover, in order to eliminate abrupt changes in the process of adaptation, the shape of the surface of the fuzzy controller is kept similar during whole control process. The advantages of the proposed modification are presented on control of magnetic suspension system.

Modelling of Uncertain Systems Using Fuzzy Numbers

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of 4th International Conference on Modeling, Simulation and Applied Optimization. Johor Darul Takzim: Universiti Teknologi Malaysia, 2011, pp. 1-6. ISBN 978-1-4577-0004-0.
  • Rok: 2011
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with the linear systems with uncertain parameters described by fuzzy numbers. The problem of determining stability margin of those systems with linear affine dependency of the coefficients of characteristic polynomial on system parameters is studied. Fuzzy numbers describing the system parameters are allowed to be characterized by arbitrary nonsymmetric membership functions. An elegant solution, graphical in nature, based on generalization of Tsypkin- Polyak plot is presented. The advantage of the presented approach over the classical robust concept is demonstrated on a control of quarter car suspension model.

PI and PD Controller Design for Fuzzy Gain and Phase Margin Specifications

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL. 2011, 7(5A), 2371-2387. ISSN 1349-4198.
  • Rok: 2011
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper addresses the problem of PI and PD controller design for linear systems with fuzzy parametric uncertainty. The plant model is considered as a possibility distribution on a plant space and closed loop specifications are given as a fuzzy set of interval gain or phase margins. A set of PI and PD controllers is found that meets the desired specification for each plant of fuzzy set of models. The solution is graphical in nature and uses frequency domain properties of interval control systems.

Stability Margin of Linear Systems With Parameters Described by Fuzzy Numbers

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS. 2011, 41(5), 1174-1182. ISSN 1083-4419.
  • Rok: 2011
  • DOI: 10.1109/TSMCB.2011.2112348
  • Odkaz: https://doi.org/10.1109/TSMCB.2011.2112348
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    This paper deals with the linear systems with uncertain parameters described by fuzzy numbers. The problem of determining the stability margin of those systems with linear affine dependence of the coefficients of a characteristic polynomial on system parameters is studied. Fuzzy numbers describing the system parameters are allowed to be characterized by arbitrary nonsymmetric membership functions. An elegant solution, graphical in nature, based on generalization of the Tsypkin-Polyak plot is presented. The advantage of the presented approach over the classical robust concept is demonstrated on a control of the Fiat Dedra engine model and a control of the quarter car suspension model.

Fuzzy Model Reference Learning Control with Convergent Rule Base

  • Autoři: Cerman, O., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of IFAC IMS 2010. Lisboa: New University of Lisabon, 2010. pp. 87-91. ISBN 978-3-902661-77-7.
  • Rok: 2010
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    New approach to adaptation ensuring convergence of the controller rule base in fuzzy model reference learning control (FMRLC) method will be introduced in this paper. The proposed method guarantees for a time-invariant plant that after few steps of adaptation the controller becomes fixed and needs not to be further tuned that results in faster response in comparison to the original FMRLC method. The main idea consists in using an additional information about the controlled system. The advantages of the proposed modification are presented on control of magnetic suspension system.

Linear Discrete-time Systems with Fuzzy Parametric Uncertainty

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: The 11th International Conference on Control, Automation, Robotics and Vision - ICARCV2010. Madison: Omnipress, 2010. pp. 36-40. ISBN 978-1-4244-7813-2.
  • Rok: 2010
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with the problem of determination of stability margin of uncertain linear discrete-time systems with parameter uncertainty described by fuzzy numbers. Arbitrary membership functions describing the uncertainty of coefficients of characteristic polynomial are considered. The presented solution is based on transformation of the original problem to Hurwitz stability test and generalization of Tsypkin-Polyak plot.

Linearization: Students Forget the Operating Point

  • Autoři: Roubal, J., doc. Ing. Petr Hušek, Ph.D., Štecha, J.
  • Publikace: IEEE Transactions on Education. 2010, 53(3), 413-418. ISSN 0018-9359.
  • Rok: 2010
  • DOI: 10.1109/TE.2009.2026427
  • Odkaz: https://doi.org/10.1109/TE.2009.2026427
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    Linearization is a standard part of modeling and control design theory for a class of nonlinear dynamical systems taught in basic undergraduate courses. Although linearization is a straight-line methodology, it is not applied correctly by many students since they often forget to keep the operating point in mind. This paper explains the topic and suggests a way to improve the teaching of the methodology in control courses. The idea is presented on a model of an inverted pendulum on a cart-a classical laboratory model used in the control theory education process.

Self-learning Continuous Controllers

  • Autoři: Cerman, O., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: The 11th International Conference on Control, Automation, Robotics and Vision - ICARCV2010. Madison: Omnipress, 2010. pp. 248-253. ISBN 978-1-4244-7813-2.
  • Rok: 2010
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper different approach of adapta- tion mechanism for fuzzy model reference learning con- trol (FMRLC) method will be introduced. In contrast to original method the proposed procedure guarantees continuity of the fuzzy controller that in reward results in its smooth input-output behaviour (mapping) that eliminates undesirable abrupt changes in the control signal. Additionally, the proposed method shows larger robustness to responses of initial conditions and vari- ous reference signals. The advantages of the proposed modification are presented on control of magnetic sus- pension system.

Stability Margin of Linear Discrete-time Systems with Parametric Uncertainty Described by Fuzzy Numbers

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of IEEE ICIT 2010. Santiago: Universidad de Santiago de Chile, 2010, pp. 210-215. ISBN 978-1-4244-5695-6.
  • Rok: 2010
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with the problem of determination of stability margin of uncertain linear discrete-time systems with parameter uncertainty described by fuzzy numbers. Arbitrary membership functions describing the uncertainty of coefficients of characteristic polynomial are considered. The presented solution is based on transformation of the original problem to Hurwitz stability test and generalization of Tsypkin-Polyak plot.

Parametric Uncertainty of Linear Discrete-time Systems Described by Fuzzy Numbers

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Knowledge-based and intelligent information and engineering systems, PT I, Proceedings. Berlin: Springer-Verlag, 2009. pp. 11-21. ISSN 0302-9743. ISBN 978-3-642-04594-3.
  • Rok: 2009
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The chapter deals with the problem of determination of stability margin of uncertain linear discrete-time systems with uncertainty described by fuzzy numbers. Nonsymmetric triangular membership functions describing the uncertainty of coefficients of characteristic polynomial are considered. Different ways how to solve this problem based on either transformation of the original problem to Hurwitz stability test and generalization of Tsypkin-Polyak plot or those based on direct manipulations with the coefficents are presented.

Stability Margin of Systems with Linear Parametric Uncertainty

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Preprints of ROCOND'09. Haifa: Technion-israel Institute of Technology, Faculty of EE, 2009. pp. 48-53. ISBN 978-3-902661-45-6.
  • Rok: 2009
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with the problem of determining stability margin of linear continuous-time systems with parametric uncertainty. The coefficients of characteristic polynomial with linear affine dependency on system parameters are considered. The system parameters are supposed to vary in intervals with the endpoints parameterized by arbitrary functions that e.g. allows to consider cases where the nominal point does not lie in the middle of admissible intervals.

Application of Predictive Control on the Laboratory Model

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Roubal, J., Chuman, J.
  • Publikace: Proceedings of the 8th International Scientific-Technical Conference Process Control 2008. Pardubice: Univerzita Pardubice, 2008, ISBN 978-80-7395-077-4.
  • Rok: 2008
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    This paper briefly summarizes the results achieved by application of Model Predictive Controller (MPC) on the nonlinear laboratory model of coupled tanks which is held in laboratory K26, Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague. It shows that standard minimization criteria should be modified in order to improve step reference tracking properties because of weak robustness of the original MPC.

On Parametric Hurwitz Stability Margin of Real Polynomials

  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper the problem of determining stability radius of a ball of continuous-time polynomials specified by a weighted lp norm in the coefficient space is considered. The graphical solution for equal weights considered for coefficients being above and below their nominal values was given by Tsypkin and Polyak. Based on that the solution of the same problem for the case of different weights taken for coefficient being above and below its nominal value is presented. The necessary and sufficient condition for robust stability of such a family of polynomials is given.

Robust Stability of Polynomic Interval Polynomials

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of the 17th IFAC World Congress. Seoul: IFAC, 2008, pp. 5862-5867. ISSN 1474-6670. ISBN 978-3-902661-00-5.
  • Rok: 2008
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper an algorithm for robust stability analysis of linear systems with parametric uncertainty is presented. The algorithm is based on multivariate interpolation-evaluation methods and fast Fourier transform used for computing determinant of a multivariate polynomial matrix. Positivity of a multivariate polynomial on a hyperrectangle is tested by Bernstein algorithm. The high efficiency of the proposed algorithm is demonstrated on automatic steering control of Daimler Benz city bus - an 8-th order closed-loop system with two uncertain parameters.

Robust Stability of Systems with Fuzzy Parametric Uncertainty

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of the 17th IFAC World Congress. Seoul: IFAC, 2008, pp. 5617-5622. ISSN 1474-6670. ISBN 978-3-902661-00-5.
  • Rok: 2008
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with the problem of determining stability margin of a linear continuous-time systems with fuzzy parametric uncertainty. The coefficients of characteristic polynomial with linear affine dependency on system parameters are considered. The system parameters are described by fuzzy numbers with nonsymmetric triangular membership functions. An elegant solution, graphical in nature, based on generalization of Tsypkin-Polyak plot is presented.

Stability analysis of polynomials with polynomic uncertainty

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Systems, Structure and Control. Vienna: I-Tech Education and Publishing, 2008. p. 111-128. ISBN 978-953-7619-05-3.
  • Rok: 2008
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    When dealing with systems with parameter uncertainty most attention is paid to robustness analysis of linear time-invariant systems. In literature the most often investigated topic of analysis of linear time-invariant systems with parametric uncertainty is the problem of stability analysis of polynomials whose coefficients depend on uncertain parameters. The aim is to verify that all roots of such a polynomial are located in some prescribed set in complex plane or to find a bound within that uncertain parameters can vary from nominal ones preserving stability. The former problem is studied in this contribution.

Stability Margin for Linear Systems with Fuzzy Parametric Uncertainty

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Lecture Notes on Artificial Intelligence: Trends in Artificial Intelligence. Berlin: Springer-Verlag, 2008. p. 224-240. ISBN 978-3-540-89196-3.
  • Rok: 2008
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with the problem of determining stability margin of a linear continuous-time system with fuzzy parametric uncertainty. Non-symmetric multivariate ellipsoidal membership functions describing the uncertainty of coefficients of characteristic polynomial are considered. An elegant solution, graphical in nature, based on generalization of Tsypkin-Polyak plot is presented.

Control Design for Servomechanism with Flexible Shaft

  • Autoři: Pešek, T., doc. Ing. Petr Hušek, Ph.D., Roubal, J.
  • Publikace: Summary Volume of 16th International Conference on Process Control '07. Bratislava: Slovak University of Technology, 2007, pp. 132. ISBN 978-80-227-2677-1.
  • Rok: 2007
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper, a comparison of a classical and a modern controller design is presented. The paper shortly describes identification of a system, the classical and modern controller design. The controller design procedures are illustrated on the laboratory model servomechanism ETH that is held in laboratory K26, Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague.

Fuzzy Logic Approach to Modeling of Bookmaker's Behaviour

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: 7th International Conference on Intelligent Systems Design and Applications. Rio de Janeiro: Universidade do Estado do Rio de Janeiro, 2007, ISBN 978-0-7695-2976-9.
  • Rok: 2007
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with the problem of modeling of behavior of a bookmaker who is determining odds of sport events in betting shops. This problem is solved using methods based on soft computing, especially fuzzy linguistic systems. The model is created based on knowledge base given by an expert (a human bookmaker). As the expert knowledge can not be obtained precisely and it is expressed linguistically a fuzzy linguistic system was used to interpret it. The on soft computing based bookmaker was used to determine odds of tennis encounters and the results were compared with the odds generated by the human one.

Modern Education in Control Engineering

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: 4th IFAC Conference on Management and Control of Production and Logistics. Sibiu: Lucian Blaga University of Sibiu, 2007, pp. 907-910. ISBN 978-973-739-481-1.
  • Rok: 2007
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    This contribution presents the internet based control engineering educational system used in Czech Technical University in Prague. The system consists of three basic parts. The first one is the internet textbook that makes it possible to explain new knowledge to the user in very friendly and comprehensive manner. Many figures, hyperlinks and both theoretical and practical examples from different areas (mechanics, electrical engineering, hydraulics, thermodynamics) improve readability of the textbook. Especially the hyperlinks enable understanding the subject in more general and wide context. The aim of the textbook is to introduce the backgrounds of modeling and control of dynamic systems for students in bachelor program.

Stability Analysis of Uncertain Polynomials with Polynomic Parameter Dependency

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Preprints of the 3rd IFAC Symposium on System, Structure and Control. Foz do Iguassu: Universidade Federal do Rio Grande do Sul - UFRGS, 2007, ISBN 978-3-902661-36-4.
  • Rok: 2007
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    This paper deals with robust stability analysis of polynomials where uncertain coefficients are polynomic functions of the second order of interval parameters. The method consists in determination of a convex hull overbounding the value set of such a family. An arbitrary stability region can be chosen. Presented method states only sufficient condition of robust stability due to nonconvexity of the value set. Both computational and graphical way of using this method are applicable. The computational efficiency of presented method and method based on Bernstein algorithm is compared.

Nonquadratic stabilization of continuous-time systems in the Takagi-Sugeno form

  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    This paper presents a relaxed scheme for controller synthesis of continuous-time systms in the Takagi-Sugeno form, based on non-quadratic Lyapunov functions and a non-PDC control law. The relaxations here provided allow state and input dependence of the membership functions' derivatives, as well as independence on initial conditions when input constraints are needed. Moreover, the controller synthesis is attainable via linear matrix inequalities, which are efficiently solved by commercially available software.

On Stability of Fuzzy Linear Systems

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Advances in Natural Computation and Data Mining. Xian: Xidian University, 2006, pp. 125-133. ISBN 7-5606-1735-2.
  • Rok: 2006
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    A comprehensive survey of determining stability of linear systems with parameters characterized by fuzzy numbers is given. An analytic method based on Kharitonov theorem and a graphical method using generalized Tsypkin-Polyak locus are presented and compared. Triangular and trapezoidal membership functions are supposed.

Robust Stability of City Bus Steering Control

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: The Proceedings of 4th IEEE Multiconference on Computational Engineering in Systems Applications. Beijing: Tsinghua University, 2006, pp. 284-287. ISBN 978-7-302-13922-5.
  • Rok: 2006
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper new algorithm for robust stability analysis of linear systems with parametric uncertainty is presented. The algorithm is based on multivariate interpolation-evaluation methods and fast Fourier transform used for computing determinant of a multivariate polynomial matrix. Positivity of a multivariate polynomial on a hyperrectangle is tested by Bernstein algorithm. The high efficiency of the proposed algorithm is demonstrated on automatic steering control of Daimler Benz city bus - an 8-th order closed-loop system with two uncertain parameters.

Schur Stability of lp Ball of Polynomials

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of the 6th Asian Control Conference 2006. Bandung: Institut Teknologi Bandung, 2006, pp. 270-274.
  • Rok: 2006
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with the problem of determining robust Schur stability of a ball of polynomials specified by a weighted $l_{p}$ norm in the coefficient space where different values of the weights are taken for coefficients being above and below their nominal values. Such a ball is called a nonsymmetric ball of polynomials. This consideration reflects more realistic situations than considering the same values. The problem is solved using the value set concept and zero exclusion principle. The solution corresponds to generalization of Tsypkin-Polyak locus for discrete-time polynomials and needs four plots instead of one. The sufficient condition of stability that is graphical in nature is given.

Stability Margin for Linear Systems with Fuzzy Parametric Uncertainty

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: The Proceeding of 2nd International Conference on Fuzzy Systems and Knowledge Discovery. Xian: Xidian University, 2006, pp. 313-324.
  • Rok: 2006
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with the problem of determining stability margin of a linear continuous-time system with fuzzy parametric uncertainty. Nonsymmetric triangular membership functions describing the uncertainty of coefficients of characteristic polynomial are considered. An elegant solution, graphical in nature, based on generalization of Tsypkin-Polyak plot is presented.

Stability Margin of Schur Polynomials

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of Process Control 2006. Pardubice: University of Pardubice, 2006,
  • Rok: 2006
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    The paper deals with the problem of determining robust Schur stability of a ball of polynomials specified by a weighted lp norm in the coefficient space where different values of the weights are taken for coefficients being above and below their nominal values. Such a ball is called a nonsymmetric ball of polynomials. This consideration reflects more realistic situations than considering the same values. The problem is solved using the value set concept and zero exclusion principle. The solution corresponds to generalization of Tsypkin-Polyak locus for discrete-time polynomials and needs four plots instead of one. The sufficient condition of stability that is graphical in nature is given.

Controller Synthesis with Input and Output Constraints for Fuzzy Systems

  • Autoři: Bernal Reza, M., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of the 16th World Congress of the International Federation of Automatic Control. Praha: IFAC, 2005. ISSN 1474-6670. ISBN 978-0-08-045108-4.
  • Rok: 2005
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper, a new method for stability analysis of discrete-time Takagi-Sugeno fuzzy systems (DTSFS) is developed. Based on searching piecewise quadratic Lyapunov functions that reduce conservatism of classical stability methods, the present approach verify stability via linear matrix inequalities (LMIs). Simulation results are provided.

Non-Quadratic Performance Design for Takagi-Sugeno Fuzzy Systems

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Bernal Reza, M.
  • Publikace: International Journal of Applied Mathematics and Computer Science. 2005, 15(3), 383-391. ISSN 1641-876X.
  • Rok: 2005
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    This paper improves controller synthesis of discrete Takagi-Sugeno fuzzy systems based on non-quadratic Lyapunov functions, making it possible to accomplish various kinds of control performance specifications such as decay rate conditions, requirements on control input and output and disturbance rejection. These extensions can be implemented via linear matrix inequalities, which are numerically solvable with commercially available software. The controller design is illustrated with an example.

Robust Stability of Discrete-time Polynomials with Polynomic Dependency

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: The Proceeding of IASTED International Multiconference on Automation, Control and Information Technology. Calgary: Acta Press, 2005, pp. 225-230. ISBN 0-88986-488-8.
  • Rok: 2005
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    This paper presents very efficient and numerically stable method for testing the robust stability of discrete-time polynomials with polynomic dependency of their coefficients. The method is based on Modified Jury criterion with the elements being multivariate polynomials. The computation of those elements is performed using very efficient and reliable method based on multivariate fast Fourier transform algorithm. Positivity of elements is tested by an algorithm using a griding of space of uncertain parameters based on Sign decomposition. The necessary and sufficient condition of robust stability is obtained.

Generalized Tsypkin-Polyak Locus

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of 2nd IFAC Symposium on System, Structure and Control, SSSC 2004. Laxenburg: IFAC, 2004, pp. 78-83.
  • Rok: 2004
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper the problem of determining stability radius of a ball of continuous-time polynomials specified by a weighted l_{p} norm in the coefficient space is considered. The graphical solution for equal weights considered for coefficients being above and below their nominal values was given by Tsypkin and Polyak. Based on that the solution of the same problem for the case of different weights taken for coefficient being above and below its nominal value is presented. The necessary and sufficient condition for robust stability of those systems is given.

Internet Based Control Engineering Educational System

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of European Conference on Educational Research 2004. Glasgow: European Education Research Association, 2004, pp. 43-48.
  • Rok: 2004

On Parametric Stability Margin

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of the 6th International Scientific-Technical Conference on Process COntrol (Říp 2004). Pardubice: Univerzita Pardubice, 2004, pp. 66. ISBN 80-7194-662-1.
  • Rok: 2004

Piecewise Quadratic Stability of Affine Takagi-Sugeno Fuzzy Control Systems

  • Autoři: Bernal Reza, M., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of 2nd IFAC Workshop on Advanced Fuzzy/Neural Control. Szczecin: Wydawnictwo Uczelniane Politechniki Szczecinskiej, 2004. p. 157-162. ISBN 83-88764-09-8.
  • Rok: 2004

Piecewise Quadratic Stability of Discrete-time Takagi-Sugeno Fuzzy Systems

  • Autoři: Bernal Reza, M., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of 2nd IFAC Symposium on System, Structure and Control, SSSC 2004. Laxenburg: IFAC, 2004, pp. 771-775.
  • Rok: 2004
  • Pracoviště: Katedra řídicí techniky
  • Anotace:
    In this paper, a new method for stability analysis of discrete-time Takagi-Sugeno fuzzy systems (DTSFS) is developed. Based on searching piecewise quadratic Lyapunov functions that reduce conservatism of classical stability methods, the present approach verify stability via linear matrix inequalities (LMIs). Simulation results are provided

Piecewise Quadratic Stability of Parallel Distributed Compensated Takagi-Sugeno Fuzzy Systems

  • Autoři: Bernal Reza, M., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of 10th IEEE Conference on Methods and Models in Automation and Robotics 2004. Szczecin: Wydawnictwo Uczelniane Politechniki Szczecinskiej, 2004, pp. 1417-1422. ISBN 83-88764-09-8.
  • Rok: 2004

Robust Stability of Systems with Parametric Uncertainty

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: microCAD 2004. International Scientific Conference 18-19 March. Miskolc: Miskolc - Egyetemváros, 2004, pp. 49-54. ISBN 963-661-615-9.
  • Rok: 2004

Stability of Fuzzy Systems via Piecewise Lyapunov Functions

  • Autoři: Bernal Reza, M., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of the 6th International Scientific-Technical Conference on Process COntrol (Říp 2004). Pardubice: Univerzita Pardubice, 2004, pp. 190. ISBN 80-7194-662-1.
  • Rok: 2004

Systems with Parametric Uncertainty Described by Varying Intervals

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of 12th Iranian Conference on Electrical Engineering. Mashhad: Ferdowsi University of Mashhad, 2004, pp. 7-12.
  • Rok: 2004

Fuzzy Modelling of Heat Transfer in Solar Station

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Mukhatdinov, M.
  • Publikace: The Proceedings of the Fourth National Energy Congress. Tehran: National Energy Committee, 2003, pp. 83-89.
  • Rok: 2003

Linear Systems Described by Fuzzy Numbers

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of 7th IEEE International Conference on Intelligent Engineering Systems. Assiut: Assiut University, 2003, pp. 217-221. ISBN 977-246-048-3.
  • Rok: 2003

Neuronové sítě a principy umělé inteligence

On Stability Margin of Fuzzy Linear Systems

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of Process Control '03. Bratislava: Slovak University of Technology, 2003, pp. 109-1-109-8. ISBN 80-227-1902-1.
  • Rok: 2003

System Modelling Using Fuzzy Numbers

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Lecture Notes on Artificial Intelligence: Fuzzy Sets and Systems. Berlin: Springer, 2003. p. 492-499. ISBN 3-540-40383-3.
  • Rok: 2003

Trajectory Tracking for Takagi-Sugeno Fuzzy Systems

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Bernal Reza, M.
  • Publikace: MATLAB 2003. Praha: VŠCHT, 2003. p. 254-256. ISBN 80-7080-526-9.
  • Rok: 2003

Analysis of Systems with Parametric Uncertainty Described by Fuzzy Functions

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of 10th IEEE Mediterranean Conference on Control and Automation. Lisboa: Instituto Suparior Téchnico Av. Rovisco Pais, 2002, pp. WP-5-WP-6. ISBN 972-9027-03-X.
  • Rok: 2002

Analysis of Systems with Parametric Uncertainty Described by Fuzzy Functions, Parametric Uncertainty

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of Workshop 2002. Praha: České vysoké učení technické v Praze, 2002, pp. 352-353. ISBN 80-01-02511-X.
  • Rok: 2002

Interpolation-Evalution Methods for Multivariate and Polynomials

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: International Scientific Conference MICROCAD 2002. Miskolc: Miskolc - Egyetemváros, 2002, pp. 7-12. ISBN 963-661-515-2.
  • Rok: 2002

Modelling of Uncertain Systems Using Fuzzy Approach

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of Second World Conference on Intelligent Systems for Industrial Automation, WCIS 2002. Kaufering: B-Quadrat verlag, 2002, pp. 148-159.
  • Rok: 2002

On Polynomial and Polynomial matrix Interpolation

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of Computational Science - ICCS 2002. Berlin: Springer, 2002. p. 520-527. ISBN 3-540-43594-8.
  • Rok: 2002

On Robust Stability Analysis of Polynomials with Polynomic Parameter Dependency

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of 10th IEEE Mediterranean Conference on Control and Automation. Lisboa: Instituto Suparior Téchnico Av. Rovisco Pais, 2002, pp. WA4-4. ISBN 972-9027-03-X.
  • Rok: 2002

Stability Analysis of Discrete-time Takagi-Sugeno Fuzzy Systems

  • Autoři: Pytelková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of Computational Science - ICCS 2002. Berlin: Springer, 2002. p. 604-612. ISBN 3-540-43594-8.
  • Rok: 2002

Stability Analysis of Fuzzy Linear Systems

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of the 5th International Scientific - Technical Conference. Pardubice: Univerzita Pardubice, 2002. p. 97. ISBN 80-7149-452-1.
  • Rok: 2002

Synthesis of Takagi-Sugeno Systems

  • Autoři: Pytelková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of Workshop 2002. Praha: České vysoké učení technické v Praze, 2002, pp. 266-267. ISBN 80-01-02511-X.
  • Rok: 2002

Bookmaker Based on Soft Computing Methods

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of 2001 WSES International Conference. Athens: World Scientific and Engineering Society Press, 2001, pp. 7-12. ISBN 960-8052-25-4.
  • Rok: 2001

Bookmaker Based on Sot Computing Methods

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Advances in Fuzzy Systems and Evolutionary Computation. Athens: World Scientific and Engineering Society Press, 2001. p. 114-119. ISBN 960-8052-27-0.
  • Rok: 2001

Comments on Computing Extreme Valves in "Stability Issues on Takagi-Sugeno Fuzzy Model-Parametric Approach"

  • Autoři: Pytelková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: IEEE Transactions on Fuzzy Systems. 2001, 9(1), 221-222. ISSN 1063-6706.
  • Rok: 2001

Robust Stability Analysis of Polynomials with Polynomic Parameter Dependency

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: 13th International Conference of Process Control 01. Slovenská technická univerzita v Bratislave, 2001, pp. 139. ISBN 80-227-1542-5.
  • Rok: 2001

Robust Stability of Polynomials with Polynomic Structure of Coefficients

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R., Elizondo, C.
  • Publikace: Proceedings of 5th World Multiconference on Systematics, Cybernetics and Informatics (SCI 2001). Orlando, Florida: International Institute of Informatics and Systemics, 2001, pp. PRC06.
  • Rok: 2001

Stability Analysis of Takagi-Sugeno Fuzzy Systems

  • Autoři: Pytelková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of Workshop 2001. Praha: České vysoké učení technické v Praze, 2001, pp. 170-171. ISBN 80-01-02335-4.
  • Rok: 2001

Stability of Fuzzy Systems Using Polynomial Methods

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of Workshop 2001. Praha: České vysoké učení technické v Praze, 2001, pp. 172-173. ISBN 80-01-02335-4.
  • Rok: 2001

Stability of Slowly Varying Takagi-Sugeno Fuzzy Systems

  • Autoři: Pytelková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Joint 9th IESA World Congress and 20th Nafips International Conference. Vancouver: Nafips, 2001. p. 227-232. ISBN 0-7803-7079-1.
  • Rok: 2001

Stability of Slowly Varying Takagi-Sugeno Fuzzy Systems Using Zero Exclusion Theorem

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Joint 9th IESA World Congress and 20th Nafips International Conference. Vancouver: Nafips, 2001. p. 1086-1091. ISBN 0-7803-7079-1.
  • Rok: 2001

Sufficient Condition for Stability of Takagi-Sugeno Fuzzy Systems with Linear State-Space Submodels

  • Autoři: Pytelková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: 13th International Conference of Process Control 01. Slovenská technická univerzita v Bratislave, 2001, pp. 177. ISBN 80-227-1542-5.
  • Rok: 2001

Synthesis of Stable Takagi-Sugeno Fuzzy Systems

  • Autoři: Pytelková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Advances in Fuzzy Systems and Evolutionary Computation. Athens: World Scientific and Engineering Society Press, 2001. p. 94-99. ISBN 960-8052-27-0.
  • Rok: 2001

Synthesis of Stable Takagi-Sugeno Fuzzy Systems

  • Autoři: Pytelková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of 2001 WSES International Conference. Athens: World Scientific and Engineering Society Press, 2001, pp. 1-6. ISBN 960-8052-25-4.
  • Rok: 2001

Numerical Algorithms for Different Connections of Linear Multivariable Systems

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings - the 4-th International Scientific-Technical Conference Process Control 2000. Pardubice: Univerzita Pardubice, 2000, pp. 65. ISBN 80-7194-271-5.
  • Rok: 2000

Product of Multivariate Polynomials Using Fourier Transform

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Dvořáková, R.
  • Publikace: Proceedings - the 4-th International Scientific-Technical Conference Process Control 2000. Pardubice: Univerzita Pardubice, 2000, pp. 64. ISBN 80-7194-271-5.
  • Rok: 2000

Product of Multivariate Polynomials Using Fourier Transform

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Dvořáková, R.
  • Publikace: Poster 2000. Praha: České vysoké učení technické v Praze, Fakulta elektrotechnická, 2000, pp. IC11.
  • Rok: 2000

Robust Stability of Discrete Polynomials with Polynomic Structure of Coefficients

  • Autoři: Dvořáková, R., doc. Ing. Petr Hušek, Ph.D., Elizondo Gonzáles, C.
  • Publikace: Preprints of 3rd IFAC Symposium on Robust Control Design (ROCOND 2000). Oxford: Elsevier Science, 2000. p. 1-6. ISBN 0-08-043249-2.
  • Rok: 2000

Robust Stability of Polynomials with Polynomic Structure of Coefficients

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Pytelková, R.
  • Publikace: Proceedings of 8th IEEE Mediterranean Conference on Control & Automation. University of Patras, 2000, pp. 1-6.
  • Rok: 2000

Stability Analysis of Takagi-Sugeno Fuzzy Systems with Linear Input-Output Submodels

  • Autoři: Pytelková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of 8th IEEE Mediterranean Conference on Control & Automation. University of Patras, 2000, pp. 7-12.
  • Rok: 2000

Stability Analysis of Takagi-Sugeno Fuzzy Systems with Linear Input-Output Submodels: Polynomial Approach

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Dvořáková, R.
  • Publikace: Preprints of IFAC International Workshop Control Application of Optimization. St. Petersburg: Saint-Petersburg State Technical University, 2000. p. 159-164.
  • Rok: 2000

Stability Analysis of Takagi-Sugeno Fuzzy Systems with Linear State-Space Submodels

  • Autoři: Dvořáková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Preprints of IFAC International Workshop Control Application of Optimization. St. Petersburg: Saint-Petersburg State Technical University, 2000. p. 100-105.
  • Rok: 2000

Stability Analysis of Takagi-Sugeno Fuzzy Systems with Linear Submodels

  • Autoři: Dvořáková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Poster 2000. Praha: České vysoké učení technické v Praze, Fakulta elektrotechnická, 2000, pp. IC8.
  • Rok: 2000

Stability Analysis of Takagi-Sugeno Fuzzy Systems with Linear Submodels

  • Autoři: Dvořáková, R., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings - the 4-th International Scientific-Technical Conference Process Control 2000. Pardubice: Univerzita Pardubice, 2000, pp. 66. ISBN 80-7194-271-5.
  • Rok: 2000

Interpolation Methods for Rational Marices

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings 12th Conference Process Control '99. Bratislava: STU v Bratislave, 1999, pp. 37-41. ISBN 80-227-1228-0.
  • Rok: 1999

Numerical Algorithms for Connections of Linear Multivariable Systems

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of Workshop 99. Praha: České vysoké učení technické v Praze, 1999, pp. 11.
  • Rok: 1999

Numerical Operations Among Rational Matrices: Standard Techniques and Interpolation

Rational Interpolation

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Štecha, J.
  • Publikace: Proceedings of the 1st Europoly Workshop - Polynomial Systems Theory & Applications. Praha: Europoly-the European Network of Excellence no. CP97-7010, 1999, pp. 121-126.
  • Rok: 1999

Computation of Pseudoinverse Matrix

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Poster 1998. Praha: České vysoké učení technické v Praze, Fakulta elektrotechnická, 1998, pp. 14.
  • Rok: 1998

Elementary Operations for Different Representations of Linear Multivariable Systems

  • Autoři: doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Proceedings of the 3rd Scientific - Technical Conference Process Control '98. Pardubice: Univerzita Pardubice, 1998, pp. 180. ISBN 80-7194-138-7.
  • Rok: 1998

Numerical Operations among Rational Matrice Standard Performance and Interpolation

  • Autoři: Štecha, J., doc. Ing. Petr Hušek, Ph.D., Šebek, M.
  • Publikace: Proceedings of the 5th Mediterranean Conference on Control and Systems. Paphos: FOCUS, Interactive Technology, 1997, pp. 1-6.
  • Rok: 1997

Toolbox for Polynomial and Rational Matrices

  • Autoři: doc. Ing. Petr Hušek, Ph.D., Štecha, J.
  • Publikace: Workshop 97. Praha: České vysoké učení technické v Praze, 1997. pp. 247-248.
  • Rok: 1997

Point Processes Describing Neuronal Activity

  • Autoři: Šuta, D., Kvašňák, E., Martinek, J., Havelka, P., doc. Ing. Petr Hušek, Ph.D.,
  • Publikace: Workshop 96. Praha: České vysoké učení technické v Praze, 1996, pp. 897-898.
  • Rok: 1996

Za stránku zodpovídá: Ing. Mgr. Radovan Suk