Title :
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
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;
Conference_Titel :
Fuzzy Systems, 2003. FUZZ '03. The 12th IEEE International Conference on
Print_ISBN :
0-7803-7810-5
DOI :
10.1109/FUZZ.2003.1209425