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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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