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

ABSTRACT

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 $H_{-}/L_{\mathrm{\infty }}$ fault detection observers (FDOs). Under the assumption that the disturbances are unknown but bounded, $L_{\mathrm{\infty }}$ 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.

KEYWORDS:

• Fault detection and isolation
• descriptor systems
• finite frequency domain
• zonotopes

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by National Natural Science Foundation of China [grant numbers 61773145, 61403104].