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High-gain interval observer for continuous–discrete-time systems using an LMI design approach

Author

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  • Rihab El Houda Thabet
  • Sofiane Ahmed Ali
  • Vicenç Puig

Abstract

In this paper, a high-gain interval observer (HGIO) for a class of partially linear continuous-time systems with sampled measured outputs in the presence of bounded noise and additive disturbances is proposed. The design of the HGIO is formulated in the Linear Matrix Inequality (LMI) framework. The gain of the HGIO is designed to satisfy the cooperative property using a time-varying change of coordinates based on pole placement in separate LMI regions. Moreover, a procedure for designing the HGIO gain to minimise the effect of the noise and disturbance in the estimation is provided. The stability of the proposed HGIO is also guaranteed. The proposed approach is assessed in simulation using a numerical example.

Suggested Citation

  • Rihab El Houda Thabet & Sofiane Ahmed Ali & Vicenç Puig, 2022. "High-gain interval observer for continuous–discrete-time systems using an LMI design approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(14), pages 3010-3026, October.
    • Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:3010-3026
    DOI: 10.1080/00207721.2022.2067912
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