Protocol-Based Output-Feedback Control for Semi-Markov Jump Systems

This study addresses the output-feedback control problem for general semi-Markov jump systems with a memory-dynamic event-triggered protocol. Based on the average dwell-time strategy, a novel framework of semi-Markov process subject to a higher level deterministic switching signal is constructed, where the Markov renewal process is nonhomogeneous. Aiming at improving communication efficiency and control performance, a novel dynamic-memory event-triggered protocol is proposed, and the resulting system can be transformed into a time-delay system. By considering an asynchronous memory-based output-feedback control law, whose asynchronization can be modeled by a nonhomogeneous hidden semi-Markov model, some parameter-dependent sufficient criteria are forwarded to ensure the mean-square exponential stability of the closed-loop system. Finally, the effectiveness and applicability of the presented approach are testified by two examples.