Fault detection and isolation of sensor in Markov jump systems based on space geometry method

This paper investigates sensor fault problems in Markov jump systems with uncertain disturbances. Using the measurement equation, the sensor faults can be translated into the state inputs. Subsequently, a cluster of residual generators is designed by employing the space geometric method. The corresponding filter parameters are obtained based on the space geometric approach, then using H
_∞
optimization technique reduce the effects of disturbance inputs on the residuals, at the same time, the residual generator is designed so that the residual signals and sensor faults satisfy one to one correspondence, which can be used to detect and isolate the sensor faults in Markov jump systems with disturbance. Simulation results demonstrate the efficiency of the proposed method.