Robust Fault-tolerant Control For Time-delay Uncertain Systems

Robust fault-tolerant control is the focus in the research of fault-tolerant control (FTC) recently. The coming of the fault-diagnosis and fault-tolerant control technology provides a new method to improve the reliability of modern complex systems. It is to design a robust controller in advance to ensure the system possessing integrity against sensor or actuator failures. Because of the common existence of time-delay, the study of the fault-tolerant control problem of time-delay systems has an important value in theory and practice.(1) The robust fault-tolerant control problem of time variant and time-delay uncertain system is studied. Using the linear matrix inequality (LMI) method, the design methods of robust fault-tolerant controller and the design of controller that guarantee certain robust performance by memory state feedback are investigated. The sufficient condition is given to maintain the asymptotic stability of the time variant and time-delay uncertain system with sensor failures and the design method of the controller is also provided. Then, the robust fault-tolerant control problem of time variant and time-delay uncertain system with actuator failures is studied. The proposed of the memory controller diminished the effects of the time-delay of the system to the control of the system effectively.(2)The fault-tolerant control problem of discrete time variant and time-delay uncertain system is studied. The sufficient condition of the existence of the fault-tolerant controller is derived to keep the asymptotically stability of the discrete time variant and time-delay uncertain system with sensor failures via LMI method, and the design method of the memory controller is also given, so that ,diminished the effect of the state time-delay to the control of the system. Then, the robust fault-tolerant control problem of discrete time variant and time-delay uncertain system with actuator failures is considered. At last, we solved the controller parameters via the LMI toolbox in the Mata. The effectiveness of the proposed design method is illustrated through simulation results.