Title :
A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems
Author :
Wu, Ligang ; Su, Xiaojie ; Shi, Peng ; Qiu, Jianbin
Author_Institution :
Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China
Abstract :
This paper investigates the problems of stability analysis and stabilization for a class of discrete-time Takagi-Sugeno fuzzy systems with time-varying state delay. Based on a novel fuzzy Lyapunov-Krasovskii functional, a delay partitioning method has been developed for the delay-dependent stability analysis of fuzzy time-varying state delay systems. As a result of the novel idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. A delay-dependent stabilization approach based on a nonparallel distributed compensation scheme is given for the closed-loop fuzzy systems. The proposed stability and stabilization conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved readily by using existing LMI optimization techniques. Finally, two illustrative examples are provided to demonstrate the effectiveness of the techniques proposed in this paper.
Keywords :
Lyapunov matrix equations; asymptotic stability; closed loop systems; delays; discrete time systems; fuzzy systems; linear matrix inequalities; optimisation; time-varying systems; LMI optimization; Lyapunov-Krasovskii functional; Takagi- Sugeno fuzzy system; closed loop fuzzy system; delay dependent stability; delay partitioning method; discrete time T-S fuzzy system; linear matrix inequality; nonparallel distributed compensation scheme; time varying delay system; Delay partitioning; Takagi-Sugeno (T-S) fuzzy systems; discrete-time; stability; time-delay;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMCB.2010.2051541