Static Output Feedback Sliding Mode Control for Stochastic Descriptor Systems

This paper is concerned with static output feedback stabilization for stochastic Ito descriptor systems via integral sliding mode technique. A novel integral sliding mode control strategy using the output information is proposed for stochastic Ito descriptor systems. It is shown that the proposed integral sliding mode control approach removes a restrictive assumption often employed in the sliding mode control for stochastic Ito systems. Output-based sliding mode controllers are designed to keep the reachability of sliding surfaces from the beginning almost surely, and the asymptotically mean square admissibility of resultant sliding motion can be determined by solving a linear matrix inequality(LMI).