Actuator and Sensor Fault Detection and Isolation for T-S Fuzzy Systems Based on Zonotopic Set-Membership

This paper investigates the fault-detection and isolation problems for T-S fuzzy systems with actuator faults and sensor faults. To begin with, the zonotopic set-memberships of both the state and output are set up. After this, by taking the intersection of these two zonotopic set-memberships as the state-estimation zonotopic set-membership, an interval state estimation method is developed. In order to obtain an optimization-interval estimation, a parameterized correction matrix is introduced into the zonotopic set-membership construction. Aiming at some optimization goal, the computation of the parameterized correction matrix is given by LMIs. Moreover, fault detections for both actuator and sensor faults are accomplished, and fault isolation between actuator and sensor faults is also fulfilled by constructing proper residuals using the optimization-state interval estimation. Finally, a simulation example is given to verify the effectiveness of the proposed method.