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Research Article | Open Access

Tracking control for a class of fractional order uncertain systems with time-delay based on composite nonlinear feedback control

Guijun Xing1Huatao Chen1Zahra S. Aghayan2Jingfei Jiang1( )Juan L. G. Guirao3( )
Center for Dynamics and Intelligent Control Research, School of Mathematics and Statistics, Shandong University of Technology, ZiBo 255000, China
Faculty of Electrical Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran
Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, Cartagena 30203, Spain
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Abstract

In this paper, we dealt with the tracking control problem of a class of fractional-order uncertain systems with time delays. In order to handle the effects brought by the uncertainties, external disturbances, time-delay terms, and to overcome the obstacles caused by inputs saturation, the tracking controller, which consisted of linear control law, nonlinear law, and robust control law proposed in this paper, was designed by combining the composite nonlinear feedback control method and the properties of fractional order operators. Furthermore, the validation of this tracking controller was proved.

CLC number: 34H05, 93C15

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AIMS Mathematics
Pages 13058-13076

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Cite this article:
Xing G, Chen H, Aghayan ZS, et al. Tracking control for a class of fractional order uncertain systems with time-delay based on composite nonlinear feedback control. AIMS Mathematics, 2024, 9(5): 13058-13076. https://doi.org/10.3934/math.2024637

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Received: 27 January 2024
Revised: 07 March 2024
Accepted: 20 March 2024
Published: 15 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)