Sliding Mode based Fuzzy Control of Stochastic Systems with Time Delay

Author

Huang, He ; Ho, Daniel W C ; Niu, Yugang

Author_Institution

Dept. of Comput. Sci. & Eng., Southeast Univ., Nanjing

Volume

1

fYear

0

fDate

0-0 0

Firstpage

295

Lastpage

299

Abstract

This paper focuses on the design of a fuzzy sliding mode controller for stochastic time-delay systems with unknown nonlinearities. The Takagi-Sugeno (T-S) fuzzy model is generalized to describe the stochastic delay system. A sufficient condition is derived such that the sliding mode dynamics is mean-square exponentially stable in the specified switching surface. Then, a sliding mode based control law is synthesized to guarantee the reachability of the specified sliding surface. The stability criterion is formulated by linear matrix inequalities and dependent on the size of time delay. Therefore, the result developed is less conservative than some existing results

Keywords

asymptotic stability; control nonlinearities; control system synthesis; delay systems; delays; fuzzy control; linear matrix inequalities; reachability analysis; stochastic systems; variable structure systems; Takagi-Sugeno fuzzy model; control nonlinearities; control synthesis; delay systems; linear matrix inequalities; mean-square exponential stability; sliding mode based fuzzy control; sliding mode dynamics; sliding surface reachability; stochastic systems; switching surface; time delay; Control nonlinearities; Control systems; Delay effects; Delay systems; Fuzzy control; Fuzzy systems; Nonlinear control systems; Sliding mode control; Stochastic systems; Takagi-Sugeno model; Fuzzy control; delay systems; sliding mode control; stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712320

Filename

1712320