Event-Triggered Fault Detection Filter for Positive Semi-Markovian Jump Systems††This work was supported by the National Natural Science Foundation of China (Nos. 62073111 and 61751304), the Fundamental Research Funds for the Provincial Universities of Zh

摘要

This paper designs an L1 fault detection filter for positive semi-Markovian jump systems with disturbances based on event-triggering scheme. First, an event-triggering strategy is presented in terms of linear inequality and a fault detection filter is proposed. Then, an augmented fault detection system is constructed. Using stochastic copositive Lyapunov function and linear programming, the filter matrices are designed for guaranteeing the positivity and stochastic L1 stability of the considered system. One illustrative example is provided to verify the effectiveness of the results in this paper.