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

Guijun Xing; Huatao Chen; Zahra S. Aghayan; Jingfei Jiang; Juan L. G. Guirao; Guijun Xing; Huatao Chen; Zahra S. Aghayan; Jingfei Jiang; Juan L. G. Guirao

doi:10.3934/math.2024637

AIMS Mathematics

2024, Volume 9, Issue 5: 13058-13076. doi: 10.3934/math.2024637

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

1.
Center for Dynamics and Intelligent Control Research, School of Mathematics and Statistics, Shandong University of Technology, ZiBo 255000, China
2.
Faculty of Electrical Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran
3.
Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, Cartagena 30203, Spain

Received: 27 January 2024 Revised: 07 March 2024 Accepted: 20 March 2024 Published: 08 April 2024
MSC : 34H05, 93C15

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.
- fractional-order uncertain systems,
- composite nonlinear feedback controller,
- saturation constraints
Citation: Guijun Xing, Huatao Chen, Zahra S. Aghayan, Jingfei Jiang, Juan L. G. Guirao. Tracking control for a class of fractional order uncertain systems with time-delay based on composite nonlinear feedback control[J]. AIMS Mathematics, 2024, 9(5): 13058-13076. doi: 10.3934/math.2024637

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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.

References

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