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Article Dans Une Revue IEEE Control Systems Letters Année : 2023

Observer-based stabilization of Lipschitz nonlinear systems by using a new matrix-multiplier based LMI approach

Résumé

This paper deals with observer-based control design for a class of Lipschitz nonlinear systems with nonlinear outputs. Based on the use of Lipschitz property and Young inequality in convenient ways, a novel LMI-based design technique is proposed. The method is also mainly based on exploiting new matrix-multiplier techniques, which allow the involvement of extra decision variables in the LMI conditions while improving the feasibility of the proposed LMI conditions. All these mathematical tools, used in a judicious manner, made it possible to obtain less conservative LMI conditions compared to previous LMIs existing in the literature. Furthermore, the established approach ensures a real-time ISS bound on the observer-based stabilization error. The validity and superiority of the developed methodology are validated through a numerical example.
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Dates et versions

hal-04343033 , version 1 (13-12-2023)

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Shivaraj Mohite, Marouane Alma, Ali Zemouche. Observer-based stabilization of Lipschitz nonlinear systems by using a new matrix-multiplier based LMI approach. IEEE Control Systems Letters, 2023, 7, pp.3723-3728. ⟨10.1109/LCSYS.2023.3341549⟩. ⟨hal-04343033⟩
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