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Membership function dependent stability criterion for t-s fuzzy systems with time delay via a non-uniform delay partitioning approach

Membership function dependent stability criterion for T-S fu...

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第32届中国控制与决策会议

作者： Zhang Ning Lei Man school of Mechanical Engineering Guizhou University of Engineering Science

the problem of stability for t-s fuzzy systems with time delay is concerned in this ***,in order to make full use of the information of time delay,a non-uniform delay partitioning approach is proposed by introducing a known adjusting ***,the fuzzy line-integral function and an appropriate Lyapunov-Krasovskii（L-K） functional are constructed based on Lyapunov stability ***,the integral terms from the derivation of L-K functional are estimated by Wirtinger integral inequality,which can effectively reduce the conservatism of results compared with Jensen integral ***,a less conservative membership function dependent stability criterion is ***,two numerical examples are given to illustrate the effectiveness of the proposed method.

关键词： Fuzzy line-integral L-K functional stability criterion Non-uniform delay partitioning method t-s model

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Iterative Learning Control Design on Nonlinear time-delay systems

Iterative Learning Control Design on Nonlinear Time-delay Sy...

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第二十九届中国控制会议

作者： ZHAN Xisheng Department of Control science and engineering,Hubei Normal University,Huangshi Hubei Province 435002,P.R.China

A robust iterative learning control algorithm is proposed based on t-s model for a kind of nonlinear time-delay systems with repetitive ***,the proposed algorithm uses fuzzy t-s model to build the model for nonlinear time-delay system,secondly,the global fuzzysystem model could be described as the form of uncertain systems,finally,the robust iterative learning controller is designed through resolving Riccati *** sufficient and essential condition of the algorithm is deduced based on Lyapunov theories for nonlinear time-delay system.

关键词： Nonlinear time-Delay system t-s model Iterative Learning Control Robust Control

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Robust Control of Continuous-time Fuzzy systems with Parametric Uncertainty

Robust Control of Continuous-time Fuzzy Systems with Paramet...

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2010 Chinese Control and Decision Conference

作者： shuxia Kang~1 Xiaoguang Yang~1 Wenhu He~1 1.Department of Mathematics,Dalian Maritime University,Dalian,116026,China

＜正＞this paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties. the t-s fuzzy model is adopted for fuzzy modelling of the nonlinear *** continuous-time of the t-s fuzzy system with parametric uncertainties is *** conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability,for the t-s fuzzy system with parametric *** sufficient conditions are formulated in the format of linear matrix *** effectiveness of the proposed controller design method is finally demonstrated through numerical simulations on the chaotic Lorenz system.

关键词： Uncertainty fuzzy systems robustness t-s model linear matrix inequality(LMI)

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H∞ Fault-tolerant Guaranteed Cost Control for Fuzzy system

H∞ Fault-Tolerant Guaranteed Cost Control for Fuzzy System

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2011 Chinese Control and Decision Conference（CCDC）

作者： Zhang Guoshan,Gu Xiaoyu and Feng Wenjuan are with the school of Electrical Engineering and Automation,tianjin University.

the H∞ fault tolerant guaranteed cost control problem for a class of nonlinear system with state-delay is investigated,in which the H∞ performance index and the quadratic performance index are guaranteed simultaneously.A sufficient condition for the existence of H∞ fault-tolerant guaranteed cost controller is presented in terms of linear matrix inequality （LMI） and the optimal H∞ fault-tolerant guaranteed cost controller is *** results show the effectiveness of the proposed method.

关键词： Fuzzy system t-s model H guaranteed cost control Fault-tolerant control LMI

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set-membership Identification of t-s Fuzzy models Using support Vector Regression

Set-membership Identification of T-S Fuzzy Models Using Supp...

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2009 9th International Conference on Electronic Measurement & Instruments（ICEMI’2009）

作者： Liqing He 1 Xianfang sun 2 1 2 school of Automation science and Electrical Engineering Beihang University Xuanyuan Road No.37 Haidian District Beijing 100191 China

In this paper, the problem of identifying nonlinear systems with unknown-but-bounded （UBB） noise is investigated. the fuzzy inference theory and support vector regression （sVR） learning mechanism are used to construct a t-s model for the nonlinear system based on input and output data with UBB measurement noise. After the structure of a t-s model is determined using sVR, all the feasible parameters in its consequent part are found by the optimal bounding ellipsoid （OBE） algorithm and then a class of feasible nonlinear models are found which are consistent with the given noise bound series and input-output data set. the simulation results illustrate that the proposed method is effective.

关键词： Nonlinear system Unknown-but-bounded (UBB) noise t-s model set-membership identification support vector regression (sVR).

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One step anti-windup based state feedback controller design for constrained t-s systems

One step anti-windup based state feedback controller design ...

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第37届中国控制会议

作者： Kaizhong Ju Hanlin He Miao Zha College of science Naval University of Engineering

this paper proposes an LMI-based method to guarantee the closed-loop regional stability for the state feedback control of takagi-sugeno systems that are subject to input saturation and state *** on the Lyapunov stability analysis,a bi-linear stabilization criterion is proposed,which can be changed into LMI criterion based on congruent *** proposed method provides conditions to simultaneously design the state feedback controller and its anti-windup *** effectiveness of the proposed method is illustrated with the chaotic Lurie system control.

关键词： Antiwindup Linear matrix inequality(LMI) stability Lyapunov schur lemma t-s model

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