Title :
Stability and stabilization of fuzzy time-delay systems
Author_Institution :
Dept. of Electr. Eng. & Electron., Aoyama Gakuin Univ., Kanagawa, Japan
Abstract :
In this paper, we consider the stability and stabilization of Takagi-Sugeno fuzzy time-delay systems. It is well-known that Takagi-Sugeno fuzzy systems approximate nonlinear systems and they can even describe a certain class of nonlinear systems exactly. On the other hand, time-delay systems appear in many practical systems and mathematical formulations. Thus Takagi-Sugeno fuzzy time-delay systems describe a wide class of nonlinear systems. For these fuzzy time-delay systems, we first make stability analysis and obtain sufficient conditions for the stability. Sufficient conditions we obtain here depend on the maximum value of time-delay and are given in linear matrix inequalities (LMFs). Next, we consider the stabilization problem. Based on the stability conditions, we obtain time-dependent sufficient conditions for the closed-loop system to be stable, and give a design method of stabilizing controllers. Furthermore, we consider the stability and stabilization for Takagi-Sugeno fuzzy neutral systems. Descriptor system approach is taken to analyze the stability and stabilization of fuzzy neutral systems. Similarly, we obtain time-dependent sufficient conditions for the stability of neutral systems. We also obtain sufficient conditions on the stabilization of neutral systems.
Keywords :
closed loop systems; control system synthesis; delays; fuzzy control; fuzzy systems; linear matrix inequalities; nonlinear systems; stability; Takagi-Sugeno fuzzy neutral systems; Takagi-Sugeno fuzzy time-delay system stability; closed-loop system; descriptor system approach; linear matrix inequalities; nonlinear systems; Control system synthesis; Control systems; Design methodology; Fuzzy systems; Nonlinear systems; Robust control; Stability analysis; State feedback; Sufficient conditions; Takagi-Sugeno model;
Conference_Titel :
Control Conference, 2004. 5th Asian
Conference_Location :
Melbourne, Victoria, Australia
Print_ISBN :
0-7803-8873-9