Mixed H∞ and passive event‐triggered control for Markovian jump systems with sensor saturation under cyber‐attacks

Abstract This paper addresses the mixed H ∞ and passive event‐triggered control problem for a class of Markovian jump systems subject to sensor saturation and cyber‐attacks. By taking the effects of sensor saturation and randomly occurring cyber‐attacks into consideration, a closed‐loop output feedback Markovian jump system model is established under the proposed event‐triggered mechanism. Then, based on Lyapunov stability theory and integral inequalities technique, some sufficient conditions are obtained to guarantee the resulting closed‐loop system is stochastically stable and satisfies a prescribed mixed H ∞ and passive performance. Subsequently, the output feedback gains can be derived in terms of linear matrix inequalities by using the matrix decoupling approach. Finally, numerical example and comparison results are provided to show the effectiveness of the approach proposed in this paper.