Sensor Fault Diagnosis and Fault Tolerant Control for Stochastic Distribution Time-delayed Control Systems

This paper presents a new fault diagnosis (FD) and fault-tolerant control (FTC) method based on the model equivalent transformation for the stochastic distribution time-delayed control systems, in which the random delay between the controller and the actuator and the external disturbance is considered. The linear B-spline is used to approximate the probability density function (PDF) of system output. The original system is transformed into an equivalent system without random delay based on the Laplace transformation method. Then, the equivalent system is converted to the augmentation system with a new state variable is introduced. The observer is designed to estimate the fault information based on the augmentation system. The adaptive control algorithm and a virtual sensor compensator are designed to realise the FTC. Finally, simulations is given to show the efficiency of the proposed approach.