Passivity-Based Integral Sliding-Mode Control of Uncertain Singularly Perturbed Systems

This brief is concerned with passivity-based integral sliding-mode control of uncertain singularly perturbed systems. First, a proper integral sliding surface is constructed. Then, a sufficient condition in terms of linear matrix inequality (LMI) is derived under which the resulting closed-loop system is passive and asymptotically stable in the specified switching surface. The gain matrix of the sliding mode is achieved by means of the previous LMI. In addition, a sliding-mode controller is synthesized to guarantee the reachability of the specified sliding surface. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results.