Hybrid Scheduling-Based Asynchronous H∞ Control for Markov Jump Power Systems With Cyber Attacks

This brief investigates the asynchronous $H_{\infty }$ control problem of discrete-time hidden Markov jump power systems (hMJPSs) under cyber attacks. To precisely capture the dynamic characteristics of transient faults and circuit breaker switching in power systems, a hidden Markov jump process with unknown information is introduced. A hybrid scheduling protocol via event triggering is proposed to enhance the utilization of communication resources. By dynamically adjusting the data transmission frequency of sensor nodes, the protocol significantly reduces communication resource usage while maintaining $H_{\infty }$ performance of the system. Additionally, considering the mode mismatched behavior between the power systems and the controllers, the asynchronous state-feedback controller is designed. Through the mode-dependent Lyapunov function, the sufficient conditions for the mean-square stability of hMJPSs are derived. Finally, the effectiveness and practicality of the proposed method are validated via simulation examples.