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Global exponential stabilisation of nonlinear systems by reduced-order observer-based output feedback control via matrix inequality approach

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  • Sang-Young Oh
  • Ho-Lim Choi

Abstract

In this paper, we consider the global exponential stabilisation problem by output feedback for a class of nonlinear systems with the extended structure of nonlinearity over the existing control scheme. The new feature is that we present a newly designed reduced-order observer-based output feedback controller with a gain-scaling factor. In our proposed method, we provide more flexibility in the selection of control parameters by utilising a matrix inequality approach under the extended structure of nonlinearity. Using examples, we illustrate the improved results of the proposed control scheme over the existing control scheme.

Suggested Citation

  • Sang-Young Oh & Ho-Lim Choi, 2021. "Global exponential stabilisation of nonlinear systems by reduced-order observer-based output feedback control via matrix inequality approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(15), pages 3266-3279, November.
  • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3266-3279
    DOI: 10.1080/00207721.2021.1925992
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