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H ∞ fuzzy static output feedback control of T‐S fuzzy systems based on fuzzy Lyapunov approach
Author(s) -
Chang XiaoHeng,
Yang GuangHong,
Liu XiaoPing
Publication year - 2009
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.84
Subject(s) - control theory (sociology) , fuzzy logic , fuzzy control system , lyapunov function , mathematics , set (abstract data type) , computer science , control (management) , nonlinear system , artificial intelligence , physics , quantum mechanics , programming language
This paper is concerned with the problem of H ∞ fuzzy static output feedback control for discrete‐time Takagi‐Sugeno (T‐S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the H ∞ performance of the T‐S fuzzy systems is derived, and the condition is expressed by a set of linear matrix inequalities. In comparison with the existing literature, the proposed approach may provide more relaxed condition while ensuring better H ∞ performance. The simulation results illustrate the effectiveness of the proposed approach. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society