Journal of Electrical Engineering and Renewable Energies Development
Volume 1, Numéro 2, Pages 41-48
2026-01-31
Design And Analysis Of A Fractional-order State-space Adaptive Controller For Second-order Systems
Authors : Anteur Souad . Bachir Bouiadjra Rochdi . Debbat Mohammed Benmadani . Vilanova Arbos Ramon . Gaidi Marwa . Hacene Fatima Zohra .
Abstract
This article proposes an adaptive control method for a class of second-order fractional-order dynamic systems characterized by distinct eigenvalues in the state space. The control scheme developed is a generalization of the MRAC (Model Reference Adaptive Control) framework to scalar systems with fractional derivatives. To ensure accurate tracking of a reference model that is also fractional, an adaptive state feedback controller is designed. This is based on the tracking error between the outputs of the system and the model, incorporating a fractional-order adaptation law to ensure parameter convergence. Numerical simulations validate the effectiveness of the proposed approach and, through comparison with conventional MRAC control, highlight its superior performance in terms of tracking accuracy and robustness in the presence of uncertainties.
Keywords
Fractional Order Systems, Adaptive Control, State-Space Model, Second-Order Systems.
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