Static output feedback control for discrete‐time hidden Markov jump systems against deception attacks.

Summary: This paper investigates the static output feedback control problem for Markov jump systems subject to asynchronous mode information and deception attacks. A hidden Markov model is employed to observe the unmeasurable system mode. In this case, the asynchronous phenomenon between the controller and the original system is depicted. By using the mode‐dependent Lyapunov function, a sufficient condition is established such that the resulting closed‐loop system is stochastically mean square exponentially ultimately bounded under randomly occurring deception attacks and external disturbance. Based on this condition, the asynchronous static output feedback controller is designed in view of linear matrix inequalities. Finally, the effectiveness and superiority of the presented method are elaborated via a numerical example and a practical example. [ABSTRACT FROM AUTHOR]