H;∞ non-fragile observer-based sliding mode control of singular Markovian jump systems with state delay

This paper is concerned with the state estimation and H
_∞
sliding mode control for delayed singular Markovian jump systems. A non-fragile observer is designed to estimate the system states, and the sliding mode control law is established to ensure the reachability of the sliding surface in the state-estimation space. Then, some sufficient conditions for the stochastic admissibility of the overall closed-loop system with H
_∞
disturbance attenuation level are derived in terms of strict linear matrix inequality (LMI).