Fault detection and isolation for discrete-time descriptor systems based on H−/L∞ observer and zonotopic residual evaluation.

This paper investigates actuator fault detection and isolation for discrete-time linear descriptor systems. We propose a novel fault detection and isolation scheme based on a bank of H − / L ∞ fault detection observers (FDOs). Under the assumption that the disturbances are unknown but bounded, L ∞ analysis is used to attenuate the effects of disturbances. Meanwhile, the FDO is designed to be sensitive to the fault via considering the H − performance index in finite frequency domain. The design conditions of the proposed FDO are converted into solving a set of linear matrix inequalities. Furthermore, the residual evaluation based on a set-membership approach is proposed to reduce conservatism. Simulation results are provided to demonstrate the performance of the proposed method. [ABSTRACT FROM AUTHOR]