Passivity-based sliding mode control for a polytopic stochastic differential inclusion system

Author-Highlights•Few results have been reported about PSDI systems via passivity-based sliding mode control.•The descriptor system approach is used to reduce the conservatism of conclusions.•PSDI systems are more general such that the systems in [21,22] can be regarded as special forms.•The expectation is used to define the reachability of sliding motion in Definition 1.

Passivity-based sliding mode control for a polytopic stochastic differential inclusion (PSDI) system is considered. A control law is designed such that the reachability of sliding motion is guaranteed. Moreover, sufficient conditions for mean square asymptotic stability and passivity of sliding mode dynamics are obtained by linear matrix inequalities (LMIs). Finally, two examples are given to illustrate the effectiveness of the proposed method.