Secure Dual Asynchronous Tracking Control for Markov Jump Systems Under Hybrid Cyberattacks

In this paper, the secure dual asynchronous tracking control problem is studied for Markov jump systems (MJSs) under hybrid cyberattacks via memory-based event-triggered mechanisms (ETMs). For the first time, both the tracking system (TS) and the reference system (RS) are considered to be MJSs, and a novel dual asynchronous controller is proposed based on hidden Markov model for the case that the mode information of the TS and the RS cannot be accurately received. In order to reduce the redundant data transmission, a novel asynchronous memory-based ETM is designed by introducing two window functions. In addition, considering the openness of network, two independent random variables are introduced to characterize the cyberattacks on tracking system-controller channel and reference system-controller channel respectively. By constructing suitable Lyapunov functionals, sufficient conditions are given to guarantee the stochastic stability and
$H_{\infty} $
performance of the resulted system. Finally, simulation examples are given to verify the effectiveness of the proposed strategy.