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GH_2 Control for Uncertain Discrete-time-delay fuzzy systems Based on a Switching fuzzy Model and Piecewise Lyapunov Function

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International Journal of Automation and computing 2009年第3期6卷 261-266页

作者： Zhi-Le Xia Jun-Min Li School of Science Xidian University Xi＇an 710071 PRC School of Mathematics and Information Engineering Taizhou University Taizhou 317000 PRC

Generalized H2 （GH2） stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno （T-S） fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix inequalities （LMIs）. The interactions among the fuzzy subsystems are considered. Therefore, the proposed conditions are less conservative than the previous results. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. To illustrate the validity of the proposed method, a design example is provided.

关键词： Generalized H2 (GH2) control fuzzy systems linear matrix inequalities (LMIs) piecewise Lyapunov function switchingfuzzy model.

Relaxed delay-dependent stabilization criteria for discrete-time fuzzy systems based on a switching fuzzy model and piecewise Lyapunov functions

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控制理论与应用（英文版） 2009年第4期7卷 405-410页

作者： Zhile XIA Junmin LI School of Science Xidian University Xi＇an Shaanxi 710071 China School of Mathematics and Information Engineering Taizhou University Taizhou Zhejiang 317000 China

This paper presents delay-dependent stability analysis and controller synthesis methods for discrete-time Takagi-Sugeno （T-S） fuzzy systems with time delays. The T-S fuzzy system is transformed to an equivalent switching fuzzy system. Consequently, the delay-dependent stabilization criteria are derived for the switching fuzzy system based on the piecewise Lyapunov function. The proposed conditions are given in terms of linear matrix inequalities （LMIs）. The interactions among the fuzzy subsystems are considered in each subregion, and accordingly the proposed conditions are less conservative than the previous results. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. Finally, a design example is given to show the validity of the proposed method.

关键词： Delay-dependent fuzzy systems Linear matrix inequalities (LMIs) Piecewise Lyapunov function

Energy-to-peak control for a class of discrete stochastic fuzzy systems with time-delay

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控制理论与应用（英文版） 2011年第4期9卷 624-628页

作者： Jianwei XIA Changyin SUN School of Automation Southeast University Nanjing Jiangsu 210096 China School of Mathematics Science Liaocheng University Liaocheng Shandong 252000 China

This paper considers the problem of stochastic stabilization and energy-to-peak control for a class of discrete stochastic fuzzy systems with interval time-delays. The objective is to design a state feedback controller such that the closed-loop system is stochastic stable and satisfies energy-to-peak performance. Based on the idea of interval partitioning, some new sufficient conditions are presented in LMI.

关键词： fuzzy systems Stochastic systems Energy-to-peak control Interval time-delay

fuzzy Controller Design for Switched fuzzy systems via Output Feedback Technique 36

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Fuzzy Controller Design for Switched Fuzzy Systems via Outpu...

第36届中国控制会议

作者： Fengqin Xia Xiaojie Su Bingna Qiao College of Automation Chongqing University

In this paper,the problem of L

ISBN: (纸本)9781538629185

In this paper,the problem of L

关键词： fuzzy systems dynamic output feedback control switched systems

An Adaptive Actuator Failure Compensation Scheme for Discrete-time T-S fuzzy systems

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An Adaptive Actuator Failure Compensation Scheme for Discret...

第25届中国控制与决策会议

作者： Lin Jiang Ruiyun Qi College of Automation Engineering Nanjing University of Aeronautics and Astronautics

ISBN: (纸本)9781467355339

This paper deals with an adaptive actuator failure compensation scheme for Takagi-Sugeno（T-S） fuzzy control systems with multiple input-output delays. Based on the approximation-based approach, a prediction form of T-S fuzzy systems has been derived. An adaptive failure compensation controller is designed to accommodate uncertain failures for systems with redundant actuators, for which new system parametrizations and controller structures have been developed. An illustrative example is presented to verify the desired performance of the new structure of adaptive fuzzy control systems. Simulation results clarify the stability and signal bounding properties of the system.

关键词： Actuator failure adaptive control prediction model output tracking fuzzy systems

Robust Output Feedback Control for Uncertain Fractional-Order T-S fuzzy systems 36

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Robust Output Feedback Control for Uncertain Fractional-Orde...

第36届中国控制会议

作者： Xiaona Song Shuai Song Kai Liu Henan University of Science and Technology China Airborne Missile Academy

ISBN: (纸本)9781538629185

This paper considers the design problem of dynamic output feedback control for fractional-order（FO） Takagi-Sugeno fuzzy systems with uncertain *** the application of FO system stability theory,robust control method and the linear matrix inequality techniques,sufficient conditions are given for the stability analysis and the existence of the dynamic fuzzy output feedback *** dynamic output feedback controller designed here guarantees the robust stability of the closed-loop ***,a fractional order chaotic system simulation example is given to illustrate the effectiveness of the design approach here.

关键词： Fractional-order systems fuzzy systems Robust control Output feedback control Parameter uncertainty

Improved stabilization conditions for T-S fuzzy systems with interval time-varying delay 36

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Improved stabilization conditions for T-S fuzzy systems with...

第36届中国控制会议

作者： LIAN Zhi HE Yong ZHANG Chuanke WU Min School of Automation China University of Geosciences Hubei key Laboratory of Advanced Control and Intelligent Automation for Complex systems

ISBN: (纸本)9781538629185

This paper is concerned with the stabilization problem for T-S fuzzy system with interval time-varying delay. By constructing a novel augmented LKF and using a developed reciprocally convex matrix inequality proposed in this paper to bound the derivative of the LKF, a delay-dependent stabilization condition based on parallel distributed compensation scheme is worked out for the closed-loop fuzzy system. Two numerical examples and an application to control of a truck-trailer are given to illustrate the effectiveness of our method.

关键词： fuzzy systems Delay-dependent Stabilization Reciprocally convex matrix inequality

Robust controller for a class of uncertain switched fuzzy systems

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Frontiers of Electrical and Electronic Engineering in China 2007年第3期2卷 334-337页

作者： YANG Hong ZHAO Jun School of Information Engineering Shenyang UniversityShenyang 110044China School of Information Science and Engineering Northeastern UniversityShenyang 110004China

A robustness control of uncertain switched fuzzy systems is *** the switching technique and the Lyapunov function method,a continuous state feedback controller is built to ensure that for all allowable uncertainties the relevant closed-loop system is asymptotically ***,a switching strategy that achieves system global asymptotic stability of the uncertain switched fuzzy system is *** this model,each subsystem of the switched system is an uncertain fuzzy system,and a common parallel distributed compensation controller is *** main condition is given in the form of convex combinations which are more *** method transforms a certain switched system and has strong robustness for various system *** show the feasibility and the effectiveness of this method.

关键词： switched systems fuzzy systems robust control asymptotic stability global model switching law

Robust control for a class of uncertain switched fuzzy systems

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控制理论与应用（英文版） 2007年第2期5卷 184-188页

作者： Hong YANG Jun ZHAO School of Information Science and Engineering Northeastern University Shenyang Liaoning 110004 China School of Information Engineering Shenyang University Shenyang Liaoning 110044 China

A model of uncertain switched fuzzy systems whose subsystems are uncertain fuzzy systems is presented. Robust controllers for a class of switched fuzzy systems are designed by using the Lyapunov function method. Stability conditions for global asymptotic stability are developed and a switching strategy is proposed. An example shows the effectiveness of the method.

关键词： Switched systems fuzzy systems Robust controller Switching law