A Resilient Adaptive Event-triggered H∞ Tracking Control of T-S Fuzzy Systems with Markovian Jump Parameters under DOS Attacks

In this paper, the problem ofH∞output-tracking control for T-S fuzzy markov jump systems(MJSs) withimperfect premise matching is investigated. The conditional probability information between the systemand the controller is imperfectly known. Firstly, due to the influence of network-induce delay, the systemmode information can not be transmitted to the controller synchronously, thus, a discrete-time hiddenmarkov model(HMM) is established to describe the asynchronous phenomenon between the system and thecontroller; Secondly, form the prospectively of practical applications, packet loss in two channels is takeninto consideration, which is caused by denial-of-service(DOS) attacks; Thirdly, in order to improve the datatransmission efficiency and save network bandwidth resources, a novel resilient adaptive event-triggered(AET) mechanism is proposed, in which the event-based threshold parameter is dynamically regulated over theprocessing. Additionally, resorted the compensation principle and the lyapunov-krasovski(L-K) functionsmethods, some sufficient conditions in form of liner matrix inequality(LMI) are achieved to co-guarantee thestability andH∞tracking property of the closed-loop system; Finally, two examples are given to verify theeffectiveness of our design mentality.