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Reduced-Order State Estimation for a Class of Nonlinear Fractional-Order Systems

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Abstract

This paper studies the state estimation problem for a class of nonlinear fractional-order systems subject to external disturbances. The nonlinear function in the plans is assumed to be satisfied the one-sided Lipschitz condition and the quadratically inner-bounded condition. We first propose a new reduced-order fractional-order observer for the nonlinear fractional-order systems. Then, based on some results on the Caputo fractional derivative combined with Cauchy matrix inequality and Schur complement lemma, we establish a new sufficient condition to ensure the stability of the error dynamic. Three examples are provided to demonstrate the effectiveness of the proposed method.

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Acknowledgements

The author sincerely thanks the anonymous reviewers for their constructive comments that helped improve the quality and presentation of this paper.

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  1. Institute of Engineering and Technology, Thu Dau Mot University, Binh Duong Province, Vietnam

    Dinh Cong Huong

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Huong, D.C. Reduced-Order State Estimation for a Class of Nonlinear Fractional-Order Systems. Circuits Syst Signal Process 42, 2740–2754 (2023). https://doi.org/10.1007/s00034-022-02267-1

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