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Robust control of T‐S fuzzy systems with time‐varying delay using new approach
Author(s) -
Gassara Hamdi,
El Hajjaji Ahmed,
Chaabane Mohamed
Publication year - 2010
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1530
Subject(s) - control theory (sociology) , fuzzy logic , fuzzy control system , bounded function , nonlinear system , linear matrix inequality , mathematics , relaxation (psychology) , norm (philosophy) , computer science , reduction (mathematics) , robust control , controller (irrigation) , control (management) , mathematical optimization , artificial intelligence , psychology , mathematical analysis , social psychology , agronomy , physics , geometry , quantum mechanics , political science , law , biology
This paper aims to design a controller to robustly stabilize uncertain nonlinear systems with time‐varying delay and norm bounded uncertainties via Takagi–Sugeno (T‐S) fuzzy model. The stabilization conditions are given in the form of linear matrix inequalities using a single Lyapunov–Krasovskii functional (LKF) combining the introduction of some relaxation matrices and only one tuning parameter. In comparison with the existing techniques in the literature, the proposed approach has two major advantages. The first is the reduction of computational complexity when the number of IF‐THEN rules, r , is big. The second concerns the conservatism reduction. Several examples are given to show the effectiveness and the merits of the design procedure. Copyright © 2009 John Wiley & Sons, Ltd.