Title :
Stabilization for a class of stochastic T-S fuzzy systems with different premises
Author :
Liangliang Zhang ; Shaosheng Zhou
Author_Institution :
Dept. of Autom., Hangzhou Dianzi Univ., Hangzhou, China
Abstract :
This paper focuses on investigating stochastic analysis and stabilization problem for a class of stochastic T-S model based systems in which the fuzzy controller does not share the same premises as those of the fuzzy model. Under a hypothesis for the fuzzy basis functions of the plant and controller, an LMI based control design approach is proposed by using a common quadratic Lyapunov function. The result is finally illustrated by a numerical example.
Keywords :
Lyapunov methods; control system synthesis; fuzzy control; fuzzy systems; linear matrix inequalities; nonlinear control systems; stability; stochastic systems; LMI based control design; T-S nonlinear systems; common quadratic Lyapunov function; fuzzy basis functions; linear matrix inequality; stabilization problem; stochastic T-S fuzzy systems; stochastic analysis; Asymptotic stability; Fuzzy control; Lyapunov methods; Numerical stability; Stability analysis; Stochastic processes; T-S model; different premises; quadratic Lyapunov function; stochastic fuzzy system; stochastic stability;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561357
