Stochastic Fault-Tolerant Control of Networked Control Systems

Considering the random failures of controller and actuator, by introducing a switching matrix descriped by independent Bernoulli random sequence, a stochastic networked control model is established. And the problem of random fault-tolerant control with the existence of sensor failure and controller failure for this constructed model is investigated. Combined with linear matrix inequality technology and Lyapunov stability theory, exponential stability criteria in mean square are obtained. Based on the obtained criteria, random fault-tolerant controllers are designed. The numerical example of a controller with feedback control and fault-tolerant control is given. Simulation example shows that the design method is valid.