The Research On D-stable Robust Fault-tolerant Control Based On Time-delay State Feedback

Due to the safety of large scale complicated control systems, linear discrete uncertain time-delay system is considered as control subject. Lyapunov stability theory, Riccati equation and state feedback, LMI for linear discrete uncertain systems with time-delay are used together to do research on the work as follows:First of all, the D-stable fault-tolerant control problem of discrete a time-delay system is studied. By our adapting state feedback with time-delay and of mere time-delay control law, the sufficient condition needed by the systems possessing D-stable integrity against sensor or actuator failures for linear discrete systems with a time-delay and design method of controller is given respectively.Secondly, the D-stable robust fault-tolerant control problem of discrete uncertain a time-delay system is studied. By our adapting state feedback with time-delay and of mere time-delay control law, the sufficient condition needed by the systems possessing D-stable robust integrity against sensor or actuator failures for linear discrete uncertain systems with a time-delay and design method of controller is given respectively.Through a great deal of simulation comparison and analysis for the results above, not only the effectiveness of this method is verified, but also the choosen principle of time-delay state feedback gain matrix is given. Moreover, simulation results are given to demonstrate that the present method of this paper has better dynamic staionarity performance.Finally, the fault-tolerant control problem of discrete time-delay system is studied. By our adapting time-delay state feedback control law, the sufficient condition needed by the time-delay systems maintaining the asymptotic stability with sensor or actuator failures is given, and LMI is utilized to resolve fault-tolerant controller of general application which has nothing to do with time-delay steps d . Simulation results are given to demonstate the correctness of present sufficient condition and effectiveness of present method.