Robust non-fragile H control for delayed singular Markovian jump systems with actuator saturation and partially unknown transition probabilities

The paper is devoted to the investigation of the problem of robust non-fragile H control for singular Markovian jump systems with time-varying delay and saturating actuators under partially unknown transition probabilities. By employing a Lyapunow function, a mode-dependent robust non-fragile H state feedback controller, as well as an estimate of the domain of attraction in the mean square sense, is derived to guarantee stochastic admissibility of the corresponding closed-loop system with actuator saturation. The controller parameters can be obtained by solving a series of linear matrix inequalities. An illustrative example is provided to show the effectiveness of the proposed method. Copyright (c) 2016 John Wiley & Sons, Ltd.