Robust integral sliding mode control for uncertain stochastic systems with time-varying delay. (English) Zbl 1093.93027

Niu, Yugang; Ho, Daniel W. C.; Lam, James

Automatica 41, No. 5, 873-880 (2005).

Summary: 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.

MSC:

93E03	Stochastic systems in control theory (general)
93B12	Variable structure systems

Keywords:

Stochastic systems; Time delay; Nonlinearities; Integral sliding mode control

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