Robust control for It ô stochastic systems with Markovian switching via sliding mode design

Author

Ho, D.W.C. ; Yugang Niu

Author_Institution

Dept. of Math., City Univ. of Hong Kong

Volume

1

fYear

2006

fDate

21-23 June 2006

Firstpage

239

Lastpage

242

Abstract

In this talk, the control problem of uncertain Ito stochastic systems with Markovian switching has been dealt with. A sliding mode control method is presented, in which the integral-type sliding function is utilized. By means of stochastic Lyapunov function, sufficient conditions via linear matrix inequalities (LMIs) with equality constraint are derived such that the sliding dynamics are stochastically stable with gamma-disturbance attenuation. Moreover, the reachability of the specified sliding surface can be ensured. Especially, the designs of both sliding mode controller and sliding surface can be obtain via convex optimization

Keywords

Lyapunov matrix equations; Markov processes; control system synthesis; convex programming; linear matrix inequalities; robust control; stochastic systems; uncertain systems; variable structure systems; Markovian switching; convex optimization; gamma-disturbance attenuation; integral-type sliding function; linear matrix inequalities; robust control; sliding mode control; stochastic Lyapunov function; uncertain Ito stochastic system; Attenuation; Control systems; Indium tin oxide; Linear matrix inequalities; Lyapunov method; Robust control; Sliding mode control; Stochastic processes; Stochastic systems; Sufficient conditions; Itô stochastic systems; Markovian switching; Sliding mode control; uncertainties;

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.2006.1712308

Filename

1712308