Fault Detection and Isolation for Linear discrete-time Delayed Systems based on L∞ Observer and Zonotopic Analysis

Naima Sehli (1) , Kaouther Ibn Taarit (1) , Xubin Ping (2) , Zhenhua Wang (3) , Tarek Raïssi (4, 5) , Moufida Ksouri (1)

1 ENIT - National Engineering School of Tunis = Ecole Nationale d'Ingénieurs de Tunis [University of Tunis El Manar]
2 Xidian University
3 HIT - Harbin Institute of Technology
4 CEDRIC - Centre d'études et de recherche en informatique et communications
5 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques

This paper considers actuator fault detection and isolation (FDI) problem for a class of linear discrete-time systems with constant time-delay. Based on delay-free representation, a novel fault detection and isolation scheme based on a bank of L∞ fault detection observers (FDOs) is proposed. Under the assumption that the disturbances and measurement noise are unknown but bounded, L∞ performance is introduced to reduce the effects of disturbances. Meanwhile, the FDOs are designed to be sensitive to the fault by means of fault detectability indices and matrix. The design conditions of the proposed FDOs are derived in terms of Linear Matrix Inequalities (LMIs). Furthermore, a zonotopic analysis method is presented to achieve the residual evaluation. Simulation results are provided to demonstrate the performance of the proposed approach.

Mots clés: Fault detection and isolation; Time-delay systems; Zono topic analysis; L∞ design

Domaines: Informatique [cs]

Naima Sehli, Kaouther Ibn Taarit, Xubin Ping, Zhenhua Wang, Tarek Raïssi, et al.. Fault Detection and Isolation for Linear discrete-time Delayed Systems based on L∞ Observer and Zonotopic Analysis. 10th IFAC Symposium on Robust Control Design ROCOND 2022, Aug 2022, Kyoto, Japan. pp.169-174, ⟨10.1016/j.ifacol.2022.09.342⟩. ⟨hal-03874835⟩