Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 16, Issue 2, Pages 534-543Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2006.889934
Keywords
H-infinity control; observer; Takagi-Sugeno (T-S) fuzzy systems; time-delay
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This paper addresses the problem of observer-based H. control for nonlinear systems with time-varying delay represented by Takagi-Sugeno (T-S) fuzzy model. It presents a single-step linear matrix inequality (LMI) method for the fuzzy control design, which overcomes the drawback of the two-step LMI approach often encountered in the literature. The derivation relies mainly on a proposed matrix decoupling technique using which a resultant matrix inequality can be equivalently converted to strict LMIs. When restricted to delay-free fuzzy systems, the present results improve or reduce to existing ones. Illustrative examples show the effectiveness and merits of the present results.
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