Intermediate observer-based adaptive event-triggered asynchronous fault-tolerant control for Markovian jump systems with general transition rates

This study investigates adaptive event-triggered asynchronous fault-tolerant control for Markovian jump systems with unknown and uncertain transition rates subjected to actuator faults and disturbances. First, a mode-dependent adaptive event-triggered mechanism is established for the considered system to maximize network resource savings, and a mode-dependent and time-dependent adaptive trigger threshold function can be used to adjust the trigger threshold parameters online. Second, a mode-dependent asynchronous intermediate observer is designed to estimate unknown actuator faults and disturbances in the system, where a Hidden Markovian model is used to describe the asynchronous phenomenon between the system and observer. Third, an asynchronous composite controller is proposed to achieve the desired system performance. By introducing the vertex separator technique, sufficient conditions to ensure the uniform ultimate boundedness of the resultant closed-loop system are provided in terms of linear matrix inequalities (LMIs). Finally, simulation results demonstrate the effectiveness and feasibility of the proposed method.