Title :
On stabilizability of stochastic fuzzy systems
Author :
Boukas, E.K. ; El-Hajjaji, A.
Author_Institution :
Dept. of Mech. Eng., Ecole Polytechnique de Montreal, Que.
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;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1657405
