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Arabian Journal for Science and Engineering
Published in: Arabian Journal for Science and Engineering 3/2020

26-09-2019 | Research Article - Systems Engineering

Adaptive Stabilization for a Class of Fractional-Order Systems with Nonlinear Uncertainty

Authors: A. Jmal, O. Naifar, A. Ben Makhlouf, N. Derbel, M. A. Hammami

Published in: Arabian Journal for Science and Engineering | Issue 3/2020

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Abstract

The stabilization task for uncertain integer-order systems has been widely and extensively investigated in the literature. However, stabilizing uncertain fractional-order systems (despite the recent great interest given by researchers to this research axis) is still considered as a fertile area of research. In this paper, an original adaptive scheme to handle this particular problem, under the nonlinear uncertainty modeling, is suggested. The approach consists of estimating the upper bound of uncertainties and designing an adaptive output feedback controller, using the Lyapunov direct method. The concept of uniform practical Mittag–Leffler stability is used throughout the paper. The feasibility and effectiveness of the theoretical results are shown through simulations via two numerical examples.
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Metadata
Title
Adaptive Stabilization for a Class of Fractional-Order Systems with Nonlinear Uncertainty
Authors
A. Jmal
O. Naifar
A. Ben Makhlouf
N. Derbel
M. A. Hammami
Publication date
26-09-2019
Publisher
Springer Berlin Heidelberg
Published in
Arabian Journal for Science and Engineering / Issue 3/2020
Print ISSN: 2193-567X
Electronic ISSN: 2191-4281
DOI
https://doi.org/10.1007/s13369-019-04148-3

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