Passivity-based sliding mode control for uncertain Markovian jump systems with time-varying delays

This paper is focused on the sliding mode control (SMC) problem of passivity analysis for a class of uncertain Markovian jump systems with time-varying delays. A new integral-type switching surface function is first constructed. Then, a sufficient condition for the existence of sliding surface is established in terms of linear matrix inequalities (LMIs) by introducing some slack variables, which guarantees the sliding mode dynamic system with time-varying delays for all admissible uncertainties is passive. Moreover, a SMC law is synthesized to drive the system state trajectories onto the predefined switching surface in a finite time.