Asynchronous Control for Markov Switching Lur’e Systems With Round-Robin Protocol

This paper addresses the asynchronous control design problem for discrete-time Markov switching Lur’e systems. First, to schedule the information transmission and data collisions by the limited shared channel, the round-robin protocol is adopted in scheduling the information exchange order. Second, considering that the system mode cannot be identified to controller, a mode observer is employed to evaluate the system mode by menas of a hidden Markov model. To address this issue, the mode-dependent stochastic Lur’e type Lyapunov functional is analyzed, and several sufficient criteria with prescribed performance are attained to guarantee the stochastically stable of the resulting discrete-time MSLSs. Finally, the effectiveness and applicability of the gained technique is verified by a practical example.