On sampled-data control synthesis of Markovian jump systems with actuator faults

This paper is concerned with the problem of designing a sampled-data control for Markovian jump systems (MJSs) with actuator faults. In the overall derivation, a new mode-dependent Lyapunov function is established by taking the fragmented-delay state into account, an improved free-matrix-based integral inequality is utilized to deal with the time-derivative of the looped function, and a set of ℋ
_∞
stochastic stabilization conditions is obtained in terms of linear matrix inequalities (LMIs). Finally, a numerical examples is provided to verify the effectiveness of the proposed method.