Title :
Stability and stabilization of T-S fuzzy systems with time-varying delay: An input-output approach
Author :
Zhao, Lin ; Gao, Huijun ; Shi, Peng
Author_Institution :
Res. Inst. of Intell. Control & Syst., Harbin Inst. of Technol., Harbin, China
Abstract :
An input-output approach to the stability and stabilization of Takagi-Sugeno (T-S) fuzzy system with time-varying delay is proposed in this paper. A novel method is employed to approximate the time-varying delay. Thus the considered system can be formulated into a feedback interconnection form, which contains a constant time-delayed forward subsystem. Then based on the scaled small gain theorem, the problem reduces to studies of the bounded real property and H∞ control problem of the scaled forward subsystem. Some effective techniques used to be applied to the constant time delay systems are now utilized to solve the time-varying case. By virtue of this conversion, less-conservative stability criteria and stabilization methods via Parallel Distributed Compensation (PDC) scheme are obtained. Numerical experiments are performed to illustrate the advantage of the proposed techniques.
Keywords :
H∞ control; delay systems; feedback; fuzzy systems; time-varying systems; H∞ control problem; T-S fuzzy systems; Takagi-Sugeno fuzzy system; bounded real property; constant time delay systems; constant time-delayed forward subsystem; feedback interconnection form; input-output approach; parallel distributed compensation; scaled small gain theorem; stability criteria; stabilization; time-varying delay; Approximation methods; Delay; Delay effects; Fuzzy systems; Stability criteria; Time varying systems;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160924