In order to improve the reliability and safety of the Electric Power-Steering System (EPS) system, this paper adopts the integrity robust fault- tolerant control strategy on the design of the feedback controller for EPS System . Based on the Lyapunov stability theory and Lyapunov functions, the paper firstly researches the rule of robust fault- tolerant control which has function integrity for the sensor failure in the linear continuous system which also has some degree of the uncertainty of parameter fluctuation. this paper gives the sufficient -and- necessary conditions for the system itself robustly be stabilized and its design method and steps are given. Then, by applying such integrity robust fault- tolerant controller for the EPS system ,the data simulation results shows that the EPS close-loop system not only has not sensitive for the sensor failure ,which means that EPS system can stably work under some sensor failure condition, but also has robust stability for limited parameter uncertainty.
