Sliding Mode Control of A Class of Nonlinear Systems

This paper concerns the sliding mode control problems for a class of nonlinear systems, named repeated scalar nonlinear systems, with a pre-scribed performance. Firstly, observer based on event-triggered scheme is constructed to well estimate the system states. Corresponding sliding mode dynamics is obtained. Then, sliding mode controller is designed to keep that the closed-loop system trajectories to reach the pre-specified sliding region in finite time. Finally, sufficient conditions of sliding mode dynamics and error dynamics to be stochastic stable with a pre-scribed performance are provided.