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Stabilization of switching Takagi–Sugeno systems by switched Lyapunov function
Author(s) -
Benzaouia Abdellah,
Hajjaji Ahmed El,
Tadeo Fernando
Publication year - 2011
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1256
Subject(s) - control theory (sociology) , lyapunov function , state (computer science) , function (biology) , fuzzy control system , computer science , control (management) , mathematics , fuzzy logic , nonlinear system , physics , artificial intelligence , algorithm , quantum mechanics , evolutionary biology , biology
SUMMARY This paper presents sufficient conditions for the stabilization of switching T‐S fuzzy discrete‐time linear systems. These conditions are obtained when state feedback control laws are used. The obtained results are formulated in terms of LMIs. A numerical example illustrates the technique. Copyright © 2011 John Wiley & Sons, Ltd.