Robust integral sliding mode control for uncertain stochastic systems with time-varying delay

Authors:
Yugang Niu;Daniel W C Ho;James Lam
Affiliations:
School of Information Science & Engineering, East China University of Science & Technology, Shanghai 200237, PR China;Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong
Venue:
Automatica (Journal of IFAC)
Year:
2005

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Abstract

This paper is concerned with sliding mode control for uncertain stochastic systems with time-varying delay. Both time-varying parameter uncertainties and an unknown nonlinear function may appear in the controlled system. An integral sliding surface is first constructed. Then, by means of linear matrix inequalities (LMIs), a sufficient condition is derived to guarantee the global stochastic stability of the stochastic dynamics in the specified switching surface for all admissible uncertainties. The synthesized sliding mode controller guarantees the reachability of the specified sliding surface. Finally, a simulation example is presented to illustrate the proposed method.