Event-triggered control of Markov jump systems with partially unknown transition rates under time-varying delay and deception attacks

This paper investigates the event-triggered synthesis problem of Markov jump system with partially unknown transition rates under time-varying delay and deception attacks. A mode-dependent event-triggered scheme is adopted between sensor and controller to reduce the amount of signal transmission. A set of sufficient conditions, including constraints of deception attacks, is provided. Asymptotically stable criteria in mean square sense for Markov jump system with partially unknown transition rate under deception attacks are derived for the first time. Moreover, the parameters of mode-dependent event-triggered scheme and the gains of the controller can be obtained simultaneously. Finally, an illustrative example is provided to show the effectiveness of the proposed approaches.