Robust sliding mode control for Markovian jump singular systems with randomly changing structure

摘要

This paper discusses the robust optimization by a sliding mode control (SMC) approach for uncertain singular Markovian jump (SMJ) time-varying delay system with nonlinear perturbation, which uncertainties occur randomly. Firstly, a different integral-type sliding mode surface (SMS) and a different Lyapunov–Krasovskii function are introduced. Secondly, by using linear matrix inequalities, sufficient conditions are proposed to ensure the mean-square exponentially admissible (MSEA) with an H∞ performance level γ of the unforced uncertain SMJ time-varying delay system in the specified SMS. Next, a composed SMC law with the parameter uncertainties occurring randomly can ensure the reachability of the predefined SMS. Finally, three numerical examples are given to test the feasibility of the theory.