Abstract:
The problem of sliding mode control for uncertain delay discrete-time systems with dead zone and input saturation is studied. In the systems under consideration, there exist uncertainties both in the state matrix and the input matrix. An integral-like switching surface is chosen such that the trajectories of states will lie on the sliding surface at the initial time. By means of Lyapunov stability theory and linear matrix inequality technique, a sufficient condition is derived to ensure the asymptotic stability of sliding mode dynamics. Furthermore, a new sliding mode controller is designed to ensure the reachability of the sliding mode dynamics despite the effects of dead zone and saturation input. Finally, the numerical simulation results show the effectiveness of the proposed method.