State feedback stabilization for T-S fuzzy time-delay systems

Author

Wang, Wen-June ; Lin, Wei-Wei

Author_Institution

Dept. of Electr. Eng., Nat. Central Univ., Chung-li, Taiwan

Volume

1

fYear

2003

Firstpage

561

Abstract

This paper studies the stabilization and robustness problem for a fuzzy time-delay system. Based on Lyapunov criterion and Razumikhin theorem, some sufficient conditions are derived under which the state feedback can stabilize the whole fuzzy time-delay system asymptotically. Moreover, the robustness of the closed loop fuzzy time-delay system is also discussed. Linear matrix inequalities (LMIs) will be utilized to solve the problem role in the paper. Finally, a numerical example is illustrated the control design and its effectiveness.

Keywords

Lyapunov methods; Riccati equations; asymptotic stability; delay systems; fuzzy control; fuzzy systems; linear matrix inequalities; robust control; state feedback; Lyapunov criterion; Razumikhin theorem; Riccati inequality; Takagi-Sugeno fuzzy model; asymptotic stability; closed loop system; control design; fuzzy time-delay systems; linear matrix inequalities; robustness problem; state feedback stabilization; Control design; Control systems; Delay effects; Fuzzy control; Fuzzy logic; Fuzzy systems; Mathematical model; Robustness; Stability; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2003. FUZZ '03. The 12th IEEE International Conference on

Print_ISBN

0-7803-7810-5

Type

conf

DOI

10.1109/FUZZ.2003.1209425

Filename

1209425