Robust Fault Tolerant Control Of Delay Systems

The reliability of control systems is the key to operate normally for the systems. It has very important signification to ensure the reliability and the security of modern complex systems. The coming of the fault-diagnosis and fault-tolerant control technology provides a new method to improve the reliability of modem complex systems. 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 in practice.Using the linear matrix inequality (LMI) method, this thesis focuses on the fault-tolerant control problem of time-delay systems. The contributions of this thesis are as follows:(1) The robust fault-tolerant control problem of time-delay uncertain system is studied. The sufficient condition is given to maintain the asymptotic stability of the 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-delay uncertain system with actuator failures is studied.(2) The fault-tolerant control problem of discrete 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-delay uncertain system with actuator failures, and the design method of the controller is also given. Then, the robust fault-tolerant control problem of discrete time-delay uncertain system with sensor failures is considered.(3) The dynamic output-feedback fault-tolerant control problem of time-delay uncertain system is studied. The sufficient condition of the existence of the dynamic output-feedback fault-tolerant controller is given and the design of the controller is proposed to maintain the asymptotic stability of the time-delay system with actuator failures. Then the condition of systems with uncertainties is considered.(4) The D-stable fault-tolerant control problem of discrete time-delay uncertain system is studied. The sufficient condition is derived to keep the discrete time-delay system D-stable in the case of actuator failure, and the design of the D-stable fault-tolerant controller is also given. Then the condition of systems with uncertainties is studied.