Design of sliding mode control for nonlinear stochastic systems subject to actuator nonlinearity

Author

niu, yong ; Ho, Daniel W. C.

Author_Institution

Sch. of Inf. Sci. & Eng., East China Univ. of Sci. & Technol., Shanghai

Volume

153

Issue

6

fYear

2006

Firstpage

737

Lastpage

744

Abstract

Sliding mode control for a class of nonlinear Ito stochastic systems with sector nonlinearities and deadzones is concerned. The unmatched nonlinear uncertainties may appear in both the system state and stochastic perturbation. By utilising stochastic Lyapunov theory, sufficient conditions are derived via linear matrix inequalities such that the sliding motion is globally asymptotically stable in probability despite nonlinear uncertainties and actuator nonlinearities. It has been shown that the reachability of the specified switching surface can be ensured. An example illustrating the present method is provided

Keywords

Lyapunov methods; asymptotic stability; control nonlinearities; control system synthesis; linear matrix inequalities; nonlinear control systems; perturbation techniques; stochastic systems; uncertain systems; variable structure systems; actuator nonlinearity; global asymptotic stability; linear matrix inequalities; nonlinear Ito stochastic systems; nonlinear uncertainties; sector nonlinearities; sliding mode control; stochastic Lyapunov theory; stochastic perturbation;

fLanguage

English

Journal_Title

Control Theory and Applications, IEE Proceedings

Publisher

iet

ISSN

1350-2379

Type

jour

Filename

1687519