On stabilizability of stochastic fuzzy systems

Author

Boukas, E.K. ; El-Hajjaji, A.

Author_Institution

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

fYear

2006

fDate

14-16 June 2006

Abstract

This paper deals with the class of continuous-time uncertain stochastic fuzzy systems with norm bounded uncertainties. A model-based fuzzy 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 state feedback controller that stochastically stabilizes either the nominal system or the uncertain one. A numerical example is provided to show the effectiveness of the proposed results

Keywords

continuous time systems; control system synthesis; fuzzy control; fuzzy systems; linear matrix inequalities; stability; state feedback; stochastic systems; LMI-based sufficient conditions; continuous-time uncertain stochastic fuzzy systems; linear matrix inequality; model-based fuzzy stabilization design; parallel distributed compensation; quadratic stability; state feedback controller; Control system synthesis; Control systems; Fuzzy systems; Nonlinear dynamical systems; Nonlinear systems; Robust stability; State feedback; Stochastic systems; Sufficient conditions; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1657405

Filename

1657405