Fault-tolerant control of discrete-time markov jump power systems based on mode detection information.

This paper studies the fault-tolerant control of Markov jump power systems. In practical engineering, it is challenging to obtain accurate modal data of power systems and describe circuit breaker switching phenomena. To address this, a hidden Markov jump power systems model is established. In order to cope with the challenges of possible controller failures and incomplete modal information acquisition, fault-tolerant control strategies and partially unknown probability matrices are introduced. Based on the Lyapunov stability theory, sufficient conditions are obtained to ensure that the closed-loop system is stochastically stable and meets the desired H∞ performance. Finally, control design for a single-machine infinite bus power system demonstrates that stable operation is preserved under both incomplete modal information and concurrent faults.