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Sensor fault estimation for Lipschitz nonlinear systems in finite-frequency domain

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  • Ying Gu
  • Guang-Hong Yang

Abstract

In this study, the problem of sensor fault estimation observer design for Lipschitz nonlinear systems with finite-frequency specifications is investigated. First, the sensor fault is considered as an auxiliary state vector and an augmented system is established. Then, by transforming the nonlinear error dynamics into a linear parameter varying system, a sufficient condition for the observer-error system with a finite-frequency H∞ performance is derived in terms of linear matrix inequalities (LMIs). Based on the obtained condition, novel nonlinear observers are designed to simultaneously estimate the system states and the fault signals and attenuate the disturbances in the finite-frequency domain. The proposed design method can provide less restrictive LMI conditions and get a better disturbance-attenuation performance when the frequency ranges of disturbances are known beforehand. A numerical example is given to show the effectiveness and superiority of the new results.

Suggested Citation

  • Ying Gu & Guang-Hong Yang, 2017. "Sensor fault estimation for Lipschitz nonlinear systems in finite-frequency domain," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2622-2632, September.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2622-2632
    DOI: 10.1080/00207721.2017.1334099
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