Exponential input‐to‐state stability of load frequency control system of island microgrid with time‐delay under aperiodic intermittent control

Abstract This paper studies the exponential input‐to‐state stability (ISS) of the island microgrid system with time‐delay under aperiodic intermittent control. The event‐triggered intermittent control (ETIC) is designed to realize the exponential ISS of the system. Under the ETIC, the island microgrid is proved to achieve the exponential ISS. Based on state‐based control width (SCW), an ETIC‐SCW scheme is also proposed by improving the ETIC scheme. The effectiveness of the proposed ETIC scheme is verified by simulation results. It is shown that the designed ETIC, especially the ETIC‐SCW, can achieve not only the exponential ISS but also the lower minimum activation time rate than other control strategies including the time‐triggered intermittent control. Therefore, the island microgrid system with time‐delay may achieve a better balance between economy and stability.