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Volume 6 Issue 3
May  2019

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2019  >  6(3): 750-759
Meng Zhou, Zhengcai Cao and Ye Wang, "Robust Fault Detection and Isolation Based on Finite-frequency H−/H∞ Unknown Input Observers and Zonotopic Threshold Analysis," IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 750-759, May 2019. doi: 10.1109/JAS.2019.1911492
Citation: Meng Zhou, Zhengcai Cao and Ye Wang, "Robust Fault Detection and Isolation Based on Finite-frequency H−/H∞ Unknown Input Observers and Zonotopic Threshold Analysis," IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 750-759, May 2019. doi: 10.1109/JAS.2019.1911492
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Robust Fault Detection and Isolation Based on Finite-frequency H−/H∞ Unknown Input Observers and Zonotopic Threshold Analysis

doi: 10.1109/JAS.2019.1911492
Funds:  This work was partially supported by National Key R&D Program of China (2018YFB1304600), National Natural Science Foundation of China (51805021, U1813220), China Postdoctoral Science Foundation Grant (2018M631311), and the Fundamental Research Funds for the Central Universities (XK1802-4)
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    Abstract
  • This work proposes a robust fault detection and isolation scheme for discrete-time systems subject to actuator faults, in which a bank of H−/H∞ fault detection unknown input observers (UIOs) and a zonotopic threshold analysis strategy are considered. In observer design, finite-frequency H− index based on the generalized Kalman-Yakubovich-Popov lemma and H∞ technique are utilized to evaluate worst-case fault sensitivity and disturbance attenuation performance, respectively. The proposed H−/H∞ fault detection observers are designed to be insensitive to the corresponding actuator fault only, but sensitive to others. Then, to overcome the weakness of predefining threshold for FDI decision-making, this work proposes a zonotopic threshold analysis method to evaluate the generated residuals. The FDI decision-making relies on the evaluation with a dynamical zonotopic threshold. Finally, numerical simulations are provided to show the feasibility of the proposed scheme.

     

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