Prescribed-time stabilization and optimization of CPS-based microgrids with event-triggered interactions

This paper investigates the problems of prescribed-time stabilization and optimization for microgrids with event-triggered interactions employing the cyber-physical system (CPS) framework. The main objective is to concurrently achieve the distributed secondary regulation and optimal power allocation of the microgrids within a prescribed time in the manner of aperiodic intermittent interactions. To this end, we adopt a cyber-physical framework for designing a new distributed prescribed-time control and optimization algorithm. In the proposed algorithm, the convergence time can be arbitrarily prescribed within the physical limits regardless of the prior knowledge of the initial values. Besides, the update of the presented algorithm is based on intermittent interactions with aperiodic event-triggered mechanism, significantly reducing the cost of information exchange. Furthermore, we also demonstrate the prescribed-time stabilization and the exclusion of the possible Zeno behaviors for the presented event-triggered interactions. Finally, the effectiveness of the proposed control algorithm is demonstrated by several simulation results.