Observer-Based Asynchronous Control of Discrete-Time Semi-Markov Switching Power Systems Under DoS Attacks

This article is concerned with the observer-based asynchronous control for discrete hidden semi-Markov switching power systems under random denial-of-service (DoS) attacks. Considering the mismatched behavior between the controller and the system, the designed controller based on the observer model runs asynchronously with the system. The hidden stochastic switching model is introduced to characterize this mismatched behavior. Due to the difficulty in obtaining complete information about the semi-Markov kernel (SMK) in practice, the elements in the SMK of the underlying system associated with the hidden mode are considered to be incompletely known. Next, regarding the random DoS attacks and incomplete SMK, the conditions on the existence of the asynchronous controller based on the observer model are proposed by employing the stochastic Lyapunov function, and the closed-loop system is guaranteed to be mean-square stable. Finally, the effectiveness of the proposed scheme is validated through an example.