Interval estimation of sensor fault based on zonotopic Kalman filter

2019/09/04 by Wenhan Zhang, Zhenhua Wang, Shenghui Guo +1
Engineering · Computer Science · #Fault Detection and Control Systems #Target Tracking and Data Fusion in Sensor Networks #Control Systems and Identification

paper · doi:10.1080/00207179.2019.1662489

Abstract

This paper studies the problem of sensor fault interval estimation for discrete-time linear system with unknown but bounded disturbances and noises. A descriptor system which is equivalent to the original system is constructed by considering the fault as an auxiliary state vector. Based on the augmented descriptor system, a zonotopic Kalman filter is designed to obtain the interval estimation of sensor fault. To improve estimation accuracy, we further propose a Frobenius norm minimisation method to design the gain matrix of zonotopic Kalman filter. Finally, numerical simulations of a quadruple-tank system are given to illustrate the effectiveness and superiority of the proposed approach.

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