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New approaches to relaxed stabilization conditions and H-infinity control designs for t-s fuzzy systems

控制理论与应用（英文版） 2012年第1期10卷 82-91页

作者： Juntao PAN shumin FEI Yudong NI Mingxiang XUE Key Laboratory of Measurement and Control of Complex systems of Engineering （Ministry of Education） Southeast University Nanjing Jiangsu 210096 China LAMIH UMR CNRS8503 University of Valenciennes et Hainaut-Cambr6sis Le Mont Houy 59313 Valenciennes Cedex 9 France school of science Hefei University of Technology Hefei Anhui 230009 China

this paper focuses on the problem of fuzzy control for a class of continuous-time t-s fuzzy systems. New methods of stabilization design and H-infinity control are derived based on a relaxed approach in which both fuzzy Lyapunov functions and staircase membership functions are used. through the staircase membership functions approx- imating the continuous membership functions of the given fuzzy model, the membership functions can be brought into the design conditions of fuzzy systems, thereby significantly reducing the conservativeness in the recent fuzzy controller design methods. Unlike some previous fuzzy Lyapunov function approaches reported in the literatures, the proposed design techniques of stabilization and H-infinity control do not depend on the time-derivative of the membership functions that may be pointed out as the main source of conservatism when considering fuzzy Lyapunov functions analysis. Moreover, conditions for the solvability of the controller design given here are written in the form of linear matrix inequalities, but not bilinear matrix inequalities, which are easier to be solved by convex optimization techniques. simulation examples are given to demonstrate the validity and applicability of the proposed approaches.

关键词： t-s fuzzy systems fuzzy Lyapunov functions staircase membership functions Linear matrix inequalities

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Guaranteed cost control for t-s fuzzy systems with time-varying delays

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控制理论与应用（英文版） 2010年第4期8卷 413-417页

作者： Qiang KANG,Wei WANG (Research Center of Information and Control,Dalian University of technology,Dalian Liaoning 116024,China) Research Center of Information and Control Dalian University of Technology Dalian Liaoning China

this paper deals with the problem of guaranteed cost control for nonlinear systems with time-varying delays which is represented by takagi-sugeno （t-s） fuzzy models with time-varying *** derivatives of time-varying delay are not necessary to be *** on the free weighting matrix method,sufficient conditions for the existence of fuzzy guaranteed cost controller via state feedback are given in terms of linear matrix inequalities （LMIs）.A minimizing method is also proposed to search the suboptimal upper bound of the guaranteed cost *** results are delay-dependent but contain delay-independent criteria as a special case.A numerical example is presented to demonstrate the effectiveness and less conservativeness of our work.

关键词： Delay systems Guaranteed cost control t-s fuzzy systems

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Fault tolerant control for a class of t-s fuzzy systems using two channel event-triggered communication schemes

Fault tolerant control for a class of T-S fuzzy systems usin...

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第36届中国控制会议

作者： ZHA Lijuan LIU Jinliang FANG Jian-an tIAN Engang College of Information science and technology Donghua University College of Information Engenering Nanjing University of Finance and Economics school of Electrical and Automation Engineering Nanjing Normal University

ISBN: (纸本)9781538629185

this paper addresses event-triggered fault tolerant controller design for a class of t-s fuzzy *** two channel event-triggered communication schemes is introduced to reduce network resource *** key idea is that only the newly sampled-data is transmitted only when it violates specified triggering condition.A logic zero order holder is used to choose the latest transmitted data packet and discard the disordering *** the effect of the network transmission delay and probabilistic actuator fault with different failure rates,based on the t-s fuzzy model,a new event-triggered networked t-s fuzzy systems is *** on the newly built model,a stability criterion and a stabilization criterion for the networked t-s fuzzy systems are derived,***,a co-design algorithm for simultaneously determining the gain matrices of the fuzzy controller and the triggering parameters is ***,a numerical example is given to demonstrate the effectiveness of the proposed method.

关键词： event-triggered scheme probabilistic actuator failure time delay t-s fuzzy systems

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sliding Mode Control for t-s fuzzy systems

International Journal of Systems and Control

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International Journal of systems and Control 2007年第1期 21-29页

作者： Khoo suiyang school of Computer Engineering Nanyang Technological University Nanyang Avenue Singapore 639798

A sliding mode control scheme for a class of complex nonlinear systems with t-s fuzzy models is proposed in this paper. It is shown that, by using the concept of extreme matrices to determine the upper bound information of the interactions of the fuzzy subsystems, a simple, yet constructive sliding mode control scheme can be developed to guarantee the asymptotic stability and robustness of the closed-loop system. simulation results are presented in support of the proposed scheme.

关键词： sliding mode control t-s fuzzy systems extreme fuzzy subsystems fuzzy control

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New Delay-Dependent stability Analysis and stabilizing Design for t-s fuzzy systems with A time-Varying Delay

New Delay-Dependent Stability Analysis and Stabilizing Desig...

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第二十七届中国控制会议

作者： Yokoyama Ryuichi Graduate school of Environmental and Energy Engineering 513 Waseda UniversityTokyo 162-0041Japan

this paper focuses on the asymptotic stability and the state feedback control for t-s fuzzy systems with a time-varying delay by employing an improved free-weighting matrix *** taking the relationship among the time-varying delay,its upper bound and their difference into account,a new less conservative delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii *** a result,a design method of a state feedback controller is formulated for t-s fuzzy systems with a time-varying delay based on the result of stability ***,two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.

关键词： t-s fuzzy systems time-varying delay Asymptotic stability state feedback Design method

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Adaptive event-triggered state estimation for t-s fuzzy systems with stochastic cyber-attacks

Adaptive event-triggered state estimation for T-S fuzzy syst...

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第40届中国控制会议

作者： Yan Qian Jinliang Liu College of Information Engenering Nanjing University of Finance and Economics

this paper investigates adaptive event-triggered state estimation for t-s fuzzy systems with multiple cyber-attacks. In order to reduce network load, the adaptive event-trigger mechanism is used to adjust the threshold of event triggering condition adaptively on the premise of ensuring system performance. Considering the influence of cyber-attacks, a t-s fuzzy model for the state estimation is established with the adaptive event-trigger mechanism. On the basis of the model, the sufficient conditions to guarantee the system asymptotically stability are obtained by using Lyapunov stability theory. In addition, the gains of the estimator are acquired in the form of linear matrix inequalities（LMIs）. Finally, a simulated example is given to testify the feasibility of the proposed method.

关键词： t-s fuzzy systems adaptive event-triggered mechanism multiple cyber-attacks state estimation

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Indirect Adaptive Fault-tolerant Control for t-s fuzzy systems with Actuator Failures

Indirect Adaptive Fault-tolerant Control for T-S Fuzzy Syste...

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第24届中国控制与决策会议

作者： Yuhai Huang 1 , Ruiyun Qi 1 , Gang tao 2,1 1 Nanjing University of Aeronautics and Astronautics, Nanjing, 2100162 University of Virginia, VA, UsA

In this paper, we consider t-s fuzzy systems with redundant actuators and design a novel adaptive fault-tolerant control scheme to compensate their actuator failures. the advantage of the proposed method is that it can deal with both the parameter uncertainties and failure uncertainties （i.e. the occurrence time, size and mode of the failure are unknown）, and does not require a fault detection unit. A unified control structure is designed to accommodate different failure situations. When failures occur, the parameter adaptation law can tune the controller parameters automatically to compensate the effects of failure and achieve asymptotical state tracking. simulation results have demonstrated the effectiveness of the proposed scheme.

关键词： t-s fuzzy systems actuator failure adaptive control fault-tolerant control states tracking.

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LMI-based Control synthesis for Continuous-time t-s fuzzy systems

LMI-based Control Synthesis for Continuous-time T-S Fuzzy Sy...

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第24届中国控制与决策会议

作者： Dong Wang 1 , Xiao-Heng Chang 1 1. College of Engineering, Bohai University, Jinzhou, 121003 Corresponding author: Xiao-Heng Chang

this paper presents stabilizing controller design for a class of continuous-time t-s fuzzy systems. the main result concerns the stabilization based on fuzzy Lyapunov function approaches. Unlike the fuzzy Lyapunov function approaches reported in the literatures, the time-derivatives of membership functions do not appear in the design procedure and sufficient conditions for the solvability of the controller design problem are given in the form of linear matrix inequalities （LMIs） by applying some matrix transformations together with slack variables with special structure.

关键词： t-s fuzzy systems fuzzy Lyapunov function stabilization Linear matrix inequalities (LMIs)

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stability criteria for t-s fuzzy systems with time-varying delay:a fuzzy line-integral Lyapunov functional approach

Stability criteria for T-S fuzzy systems with time-varying d...

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第36届中国控制会议

作者： Zhicheng song Xian Zhang Xin Wang Yu Xue school of Mathematical science Heilongjiang University

ISBN: (纸本)9781538629185

this paper focuses on the problem of the stability analysis for t-s fuzzy systems with time delay,A novel LyapunovKrasovskii functional containing the fuzzy line-integral Lyapunov function is *** employing some developed Wirtinger-based integral inequalities,less conservative stability criteria in terms of linear matrix inequalities(LMIs) are *** examples are given to verify the effect of our theory.

关键词： t-s fuzzy systems time delay stability Linear matrix inequalitities(LMIs)

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Quadratic stability and H∞ Control of a Class of Uncertainty t-s fuzzy systems

Quadratic Stability and H∞ Control of a Class of Uncertaint...

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2011 Chinese Control and Decision Conference（CCDC）

作者： Ying Zhang is with Faculty of sciences,shenyang University.shenyang.110044 Yanan Wang and Ding Zhai are with College of sciences,Northeastern University.shenyang.110819.Xiangyong Chen is with school of Information science and Engineering,Northeastern University.110819,China.

For a class of the uncertainty t-s fuzzy systems,the problem of the quadratic stability and H∞ control is studied in this ***,we give the model of the t-s fuzzy systems,and obtain the conditions for quadratic *** to linear matrix inequalities （LMIs）,we also study the conditions of H∞ control problem,and give the design methods of the state feedback H∞ ***,numerical examples show the feasibility and the effectiveness of the deign method of H∞ control problem.

关键词： t-s fuzzy systems quadratic stability H∞ control linear matrix inequalities (LMIs)

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