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New tuning rules for fractional PIα controllers

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Abstract

This paper describes a new tuning method for fractional PIα controllers. The main theoretical contribution of the paper is the analytical solution of a nonlinear function minimization problem, which plays a central role in deriving the tuning formulae. These formulae take advantage of the fractional order α to offer an excellent tradeoff between dynamic performances and stability robustness. Finally, a position control is implemented to compare laboratory experiments with computer simulations. The comparison results show the good performance of the tuning formulae.

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Authors and Affiliations

  1. Dipartimento di Ingegneria dell‘Ambiente e per lo Sviluppo Sostenibile, Politecnico di Bari-Viale del Turismo, 8-74100, Taranto, Italy

    G. Maione

  2. Dipartimento di Elettrotecnica ed Elettronica, Politecnico di Bari, Via E. Orabona, 4-70125, Bari, Italy

    P. Lino

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  1. G. Maione
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  2. P. Lino
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Correspondence to G. Maione.

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Maione, G., Lino, P. New tuning rules for fractional PIα controllers. Nonlinear Dyn 49, 251–257 (2007). https://doi.org/10.1007/s11071-006-9125-x

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  • DOI: https://doi.org/10.1007/s11071-006-9125-x

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