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

Sliding mode control for a class of nonlinear Itô 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.