The reliability of control systems is the key to operate normally for the systems. Themost important measure to improve the reliability of control systems is ensuring thesystems have the ability of fault-tolerant, namely fault-tolerant control. The aim of thefault-tolerant control is to maintain the stabilization of the control systems, when there aremany faults in the components of the control systems. Moreover, because of the commonexistence of uncertain, the fault-tolerant control systems which have the ability of robustfor uncertainty model is expected. Therefore, the study of robust fault-tolerant controlproblem of the systems has an important value in theory and in practice.Using the linear matrix inequality (LMI) method, this thesis focuses on the robustfault-tolerant control problem of multi-variable systems. The contributions of this thesisare as follows:(1) The robust fault-tolerant control problem of time-delay uncertain multi-variablesystem is studied. Based on Lyapunov stability theory, the sufficient condition is given tomaintain the asymptotic stability of the time-delay uncertain system with sensor failures.The design method of the controller is given. Then, the robust fault-tolerant control problem oftime-delay uncertain system with actuator failures is studied. At last, the robustfault-tolerant Hoo control problem of time-delay uncertain multi-variable system isdiscussed. The design method of the controller is given.(2) The robust fault-tolerant control problem of discrete time-delay uncertainmulti-variable system is studied. Based on Lyapunov stability theory, the sufficientcondition of the existence of the fault-tolerant controller is derived to keep theasymptotically stability with sensor failures and the design method of the controller is alsogiven. Then the problem of the actuator failures is considered.(3) The dynamic output-feedback fault-tolerant control problem of uncertain system isstudied. The sufficient condition of the existence of the dynamic output-feedbackfault-tolerant controller is given and the design of the controller is proposed to maintain theasymptotic stability of the uncertain system with actuator failures. Then on this basis theregional pole index and D-stable index is considered. And the design method of thefault-tolerant controller is given. |