The robust fault-tolerant control problem of time-delay uncertain system is studied to improve the performance of fault systems. For this class of linear uncertain time-delay systems model with actuator and sensor recoverable faults, a H∞ output-feedback controller solved by a linear matrix inequality (LMI) is designed to make sure the system can work steadily using the other elements and satisfy the system index. The simulation of an attitude control closed-loop system of satellite validates that it is effective.