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CRONE Control: Principles and Extension to Time-Variant Plants with Asymptotically Constant Coefficients

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Abstract

The principles of CRONE control, a frequency-domain robust control designmethodology based on fractional differentiation, are presented.Continuous time-variant plants with asymptotically constant coefficientsare analysed in the frequency domain, through their representation usingtime-variant frequency responses. A stability theorem for feedbacksystems including time-variant plants with asymptotically constantcoefficients is proposed. Finally, CRONE control is extended to robustcontrol of these plants.

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Authors and Affiliations

  1. LAP, UMR 5131 CNRS, Université Bordeaux 1, ENSEIRB, 351, Cours de la Libération, F-33405, Talence, France

    Jocelyn Sabatier, Alain Oustaloup, Aitor Garcia Iturricha & Patrick Lanusse

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  1. Jocelyn Sabatier
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  2. Alain Oustaloup
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  3. Aitor Garcia Iturricha
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  4. Patrick Lanusse
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Sabatier, J., Oustaloup, A., Iturricha, A.G. et al. CRONE Control: Principles and Extension to Time-Variant Plants with Asymptotically Constant Coefficients. Nonlinear Dynamics 29, 363–385 (2002). https://doi.org/10.1023/A:1016531915706

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