Observer-based controller for Stochastic Fuzzy Systems

Author

Boukas, E.K.

Author_Institution

Dept. of Mech. Eng., Ecole Polytechnique de Montreal, Que.

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

4133

Lastpage

4138

Abstract

This paper deals with the class of continuous-time stochastic fuzzy systems. A model-based fuzzy observer-based control stabilization design utilizing the concept of the so-called parallel distributed compensation (PDC) is employed to stochastically stabilize the class of systems under consideration. LMI-based sufficient conditions are developed to synthesize the observer and the state feedback controller that stochastically stabilizes the stochastic fuzzy system. A numerical example is provided to show the effectiveness of the proposed results

Keywords

compensation; continuous time systems; fuzzy control; linear matrix inequalities; observers; stability; state feedback; stochastic systems; continuous-time system; linear matrix inequality; observer-based controller; parallel distributed compensation; quadratic stability; state feedback controller; stochastic fuzzy system; Control systems; Fuzzy control; Fuzzy systems; Nonlinear dynamical systems; Nonlinear systems; State feedback; Stochastic systems; Sufficient conditions; Symmetric matrices; USA Councils; Linear matrix inequality; Parallel distributed compensation; Quadratic stability; Stochastic fuzzy systems; stabilizability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377062

Filename

4177377