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

Sang-Young Oh and Ho-Lim Choi

International Journal of Systems Science, 2021, vol. 52, issue 15, 3266-3279

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.

Date: 2021
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DOI: 10.1080/00207721.2021.1925992

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