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An Alternative approach to H ∞ control for fuzzy systems
Author(s) -
Liu Xiaodong,
Liu Wanquan,
Li Li,
Zhang Qingling,
Tong Shaocheng
Publication year - 2008
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.40
Subject(s) - control theory (sociology) , fuzzy control system , fuzzy logic , controller (irrigation) , lyapunov function , nonlinear system , set (abstract data type) , computer science , mathematics , control engineering , control (management) , engineering , artificial intelligence , physics , quantum mechanics , agronomy , biology , programming language
In this paper the problem of H ∞ dynamic feedback control for fuzzy dynamic systems has been studied. First the problem of H ∞ dynamic feedback controller designs for complex nonlinear systems, which can be represented by Takagi‐Sugeno (T‐S) fuzzy systems, is presented. Second, based on a Lyapunov function, four new dynamic feedback H ∞ fuzzy controllers are developed by adequately considering the interactions among all fuzzy sub‐systems and these dynamic feedback H ∞ controllers can be obtained by solving a set of suitable linear matrix inequalities. Finally, two examples are given to demonstrate the effectiveness of the proposed design methods. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society