The Actuator Failure and Feedback Control for Time-varying Delays Systems Based on a Disturbance Observer
For a class of time-delay systems with external disturbances and uncertainties,a disturbance observer based on output feedback and a disturbance compensation controller are constructed when the actuator failure happens and the system state are unknowable.Then,the stability of the system is judged by the Lyapunov second method.The sufficient conditions for the asymptotic stability of the system are given in the form of linear matrix inequalities.At the same time,the Finsler lemma is used to deal with the coupling problem of the controller synthesize.Finally,through the numerical simula-tion experiments,the effectiveness of the disturbance rejection control method based on disturbance ob-server is verified.Further,the fault tolerant control is more reliable than the control algorithm which does not consider the actuator failure to maintain the system and improve the performance of the sys-tem.