Robust Control Design for Discrete Chaotic Systems with Unmatched Uncertainties

Abstract

This paper is concerned with the robust control for a general class of discrete chaotic systems with unmatched uncertainties. It is implemented by using discrete sliding mode control (DSMC). The proposed DSMC ensures the existence of the sliding mode. The chaotic behavior can be inhibited in an estimated bound in the state space even with unmatched uncertainties, which is not well addressed in the literature. The numerical simulation results demonstrate the feasibility and effectiveness of the proposed scheme.