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Actuator fault estimation based on a proportional-integral observer with nonquadratic Lyapunov functions

Author

Listed:
  • J. Guzman
  • F.-R. López-Estrada
  • V. Estrada-Manzo
  • G. Valencia-Palomo

Abstract

This work proposes a proportional-integral fault estimation observer for nonlinear systems by means of convex structures. Unlike the traditional approaches that consider quadratic Lyapunov functions, this work employs nonquadratic ones. As a result, less conservative conditions in the form of linear matrix inequalities are obtained. Furthermore, an $ H_\infty $ H∞ performance is employed in order to ensure robustness against sensor noise and disturbances; thus, the designed observer estimates both the state and the actuator faults even in the presence of disturbances. The performance of the proposed methodology is illustrated through a numerical example and a three-tank hydraulic system.

Suggested Citation

  • J. Guzman & F.-R. López-Estrada & V. Estrada-Manzo & G. Valencia-Palomo, 2021. "Actuator fault estimation based on a proportional-integral observer with nonquadratic Lyapunov functions," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(9), pages 1938-1951, July.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1938-1951
    DOI: 10.1080/00207721.2021.1873451
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    Cited by:

    1. Ashkan Taherkhani & Farhad Bayat & Kaveh Hooshmandi & Andrzej Bartoszewicz, 2022. "Generalized Sliding Mode Observers for Simultaneous Fault Reconstruction in the Presence of Uncertainty and Disturbance," Energies, MDPI, vol. 15(4), pages 1-20, February.

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