Journal ArticleDOI
Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi–Sugeno fuzzy models
Yong-Yan Cao,Paul M. Frank +1 more
TLDR
It is shown that the analysis results provide an efficient technique for the design of fuzzy controllers and a stabilization approach for nonlinear retarded systems through fuzzy state feedback and fuzzy observer-based controller is proposed.About:
This article is published in Fuzzy Sets and Systems.The article was published on 2001-12-01. It has received 497 citations till now. The article focuses on the topics: Fuzzy logic & Fuzzy control system.read more
Citations
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Journal ArticleDOI
Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays
Xinping Guan,Cailian Chen +1 more
TL;DR: A guaranteed cost control method for nonlinear systems with time-delays which can be represented by Takagi-Sugeno (T-S) fuzzy model which guarantees that the controller without any delay information can stabilize time-delay T-S fuzzy systems is introduced.
Journal ArticleDOI
Stability and Stabilization of Delayed T--S Fuzzy Systems: A Delay Partitioning Approach
TL;DR: The delay partitioning approach to solving the problems of stability analysis and stabilization for continuous time-delay Takagi-Sugeno fuzzy systems is proposed and the problem of stabilization via the so-called parallel distributed compensation scheme is solved.
Journal ArticleDOI
Delay-dependent stability analysis and synthesis of uncertain T--S fuzzy systems with time-varying delay
Engang Tian,Chen Peng +1 more
TL;DR: A new method is provided by introducing some free-weighting matrices and employing the lower bound of time-varying delay and based on the Lyapunov-Krasovskii functional method, sufficient condition for the asymptotical stability of the system is obtained.
Journal ArticleDOI
Robust H/sub /spl infin// control for uncertain discrete-time-delay fuzzy systems via output feedback controllers
Shengyuan Xu,James Lam +1 more
TL;DR: The purpose is the design of a full-order fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop system and guarantees an H/sub /spl infin// norm bound constraint on disturbance attenuation for all admissible uncertainties.
Journal ArticleDOI
New Approach to Delay-Dependent Stability Analysis and Stabilization for Continuous-Time Fuzzy Systems With Time-Varying Delay
Huai-Ning Wu,Han-Xiong Li +1 more
TL;DR: A new method for the delay-dependent stability analysis and stabilization problems for continuous-time Takagi and Sugeno (T-S) fuzzy systems with a time-varying delay is suggested, which is less conservative than other existing ones.
References
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Journal ArticleDOI
Fuzzy identification of systems and its applications to modeling and control
T. Takagi,Michio Sugeno +1 more
TL;DR: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
Book
Linear Matrix Inequalities in System and Control Theory
TL;DR: In this paper, the authors present a brief history of LMIs in control theory and discuss some of the standard problems involved in LMIs, such as linear matrix inequalities, linear differential inequalities, and matrix problems with analytic solutions.
Book
Theory of Functional Differential Equations
TL;DR: In this paper, Liapunov functional for autonomous systems is used to define the saddle point property near equilibrium and periodic orbits for linear systems, which is a generalization of the notion of stable D operators.
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Fuzzy identification of systems and its applications to modeling and control
T. Takagi,Michio Sugeno +1 more