A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems

Joseph Chang Lun Chan, Tae H. Lee, Chee Pin Tan, Hieu Trinh, Ju H. Park

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    Abstract

    This article introduces a nonlinear observer to reconstruct faults in a class of nonlinear descriptor systems affected by disturbances, in both the state and output equations. The fault enters the system through nonlinear functions in both its state and output equations. The original system is first transformed such that design freedom in its structure is easier to exploit, and then a nonlinear observer is designed based on the transformed system to reconstruct the fault. Linear matrix inequalities are used to determine the gains of the observer such that the effect of the disturbances on the fault reconstruction is bounded. Finally, three simulation examples are carried out to verify the effectiveness of the scheme.

    Original languageEnglish
    Pages (from-to)22455-22469
    Number of pages15
    JournalIEEE Access
    Volume9
    DOIs
    Publication statusPublished - 2021

    Keywords

    • Fault detection
    • nonlinear systems
    • observers
    • uncertain systems

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