Protocol-Based Control for Stochastic Hybrid Systems With Deterministic Switching

The problem of dynamic self-triggered protocol control for stochastic hybrid systems with semi-Markovian jump parameters and deterministic switching is investigated in this brief. Utilizing an average dwell time strategy, a general framework for semi-Markovian jump systems is established by generating a series of switching signals to compensate for the impact of arbitrary switching. Compared with event-triggered protocol, the dynamic self-triggered protocol is developed, which eliminates the requirement for dedicated hardware to continuously monitor the system, and predicts the next triggering moment based on the current sampled data. By means of the proposed self-triggered protocol and Lyapunov theory, sufficient conditions for the mean-square exponential stability are established. Furthermore, the mode-dependent controller is determined through standard matrix inequalities. Finally, the effectiveness of the proposed method is validated via the vertical take-off and landing helicopter model.