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In this paper, a non-fragile fault-tolerant control strategy is developed for a class of Markovian jump systems against actuator and sensor faults. By taking the sensor fault as an augmented state, the original system is transformed into a descriptor one. Then, an adaptive observer is designed for the descriptor system to simultaneously estimate the states, actuator fault and sensor fault. Moreover, a non-fragile fault-tolerant controller is designed to stabilize the resulting closed-loop system, by using the information of the actuator fault reconstruction. Owing to the non-fragile property, this controller proves to be highly stable against its intrinsic perturbations. Sufficient conditions of the existence of the designed observer and fault-tolerant controller are given in terms of linear matrix inequalities. Finally, a practical example of F-404 aircraft is provided to demonstrate the effectiveness of the proposed method.

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In this paper, the problem on simultaneous estimation of the actuator and sensor faults is first addressed for a class of Markovian jump systems with mixed mode-dependent time-varying delays. By using a generalized system technique, the original system is first transformed into a descriptor one; its states consist of original states and sensor fault. Then, a Markovian adaptive observer is designed for the descriptor system to provide simultaneous estimations of the state, actuator fault, and sensor fault. In the light of online acquired information, a state-feedback-based fault-tolerant controller is constructed to stabilize the closed-loop system in the presence of the actuator fault. Using the Lyapunov–Krasovskii functions, sufficient and necessity conditions for the existence of designed observer and controller are derived in terms of linear matrix inequalities, which can be solved readily through efficient mathematical tools. Finally, numerical and practical examples are given to validate the effectiveness of the proposed method.

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