Title :
New robust control for uncertain T-S fuzzy systems with time-varying state and input delays
Author :
Jie-Zhu Song ; Sheng-Juan Huang
Author_Institution :
Sci. of Sch., Univ. of Sci. & Technol. of LiaoNing, Anshan, China
Abstract :
This paper focuses on the robust control for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying state and input delays. Based on Lyapunov-Krasoviskii functional method, a new delay-dependent stabilization criterion is proposed to guarantee the asymptotic stabilization of fuzzy systems with parametric uncertainties. These conditions are proposed in linear matrix inequalities (LMIs) format, which could overcome the conservatism of the existing ones. An illustrative examples is given to show the effectiveness and merits of the proposed fuzzy controller design methodology.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; delays; fuzzy control; fuzzy systems; linear matrix inequalities; robust control; time-varying systems; uncertain systems; Lyapunov-Krasoviskii functional method; asymptotic stabilization; delay-dependent stabilization criterion; fuzzy controller design methodology; linear matrix inequalities; parametric uncertainties; robust control; time-varying input delays; time-varying state delays; uncertain Takagi-Sugeno fuzzy systems; Delay; Delay effects; Fuzzy systems; Robust control; Stability analysis; Symmetric matrices; Time varying systems; Delay-dependent stabilization; Robust control; T-S fuzzy systems; Time delay; Uncertainty;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-8727-1
DOI :
10.1109/CSAE.2011.5952694