NDLI: <formula formulatype=inline><tex Notation=TeX>$H_{infty}$</tex></formula> Controller Synthesis via Switched PDC Scheme for Discrete-Time T--S Fuzzy Systems

Content Provider	IEEE Xplore Digital Library
Author	Jiuxiang Dong Guang-Hong Yang
Copyright Year	1993
Abstract	This paper is concerned with the problem of designing switched state feedback H _infin controllers for discrete-time Takagi-Sugeno (T-S) fuzzy systems. New types of state feedback controllers, namely, switched parallel distributed compensation (PDC) controllers, are proposed, which are switched based on the values of membership functions. Switched quadratic Lyapunov functions are exploited to derive a new method for designing switched PDC controllers to guarantee the stability and H _infin performances of closed-loop nonlinear systems. The design conditions are given in terms of solvability of a set of linear matrix inequalities. It is shown that the new method provides better or at least the same results of the existing design methods via the pure PDC scheme with a quadratic Lyapunov function or switched constant controller gain scheme. Numerical examples are given to illustrate the effectiveness of the proposed method.
Sponsorship	IEEE Computational Intelligence Society
Starting Page	544
Ending Page	555
Page Count	12
File Size	685816
File Format	PDF
ISSN	10636706
Volume Number	17
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	State feedback Control systems Lyapunov method Design methodology Takagi-Sugeno model Fuzzy systems Distributed control Nonlinear control systems Stability Nonlinear systems Takagi–Sugeno (T--S) fuzzy systems Fuzzy control $H_{\infty}$ control linear matrix inequalities (LMIs) parallel distributed compensation (PDC) state feedback switched control H$_{\infty}$ control Takagi-Sugeno (T-S) fuzzy systems fuzzy control
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence Control and Systems Engineering Computational Theory and Mathematics

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