Tracking control for a class of fractional order uncertain systems with time-delay based on composite nonlinear feedback control-Reference-Cited by-同舟云学术

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

Published:2024 Issue:5 Volume:9 Page:13058-13076
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Xing Guijun¹,Chen Huatao¹,Aghayan Zahra S.²,Jiang Jingfei¹,Guirao Juan L. G.³

Affiliation:

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference53 articles.

1. R. L. Bagley, R. A. Calico, Fractional order state equations for the control of viscoelasticallydamped structures, J. Guid. Control Dynam., 14 (1991), 304–311. https://doi.org/10.2514/3.20641

2. I. Podlubny, Fractional differential equations: An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, San Diego: Academic Press, 1999. https://doi.org/10.1016/s0076-5392(99)x8001-5

3. R. Hilfer, Applications of fractional calculus in physics, Singapore: World Scientific, 2000. https://doi.org/10.1142/3779

4. K. Diethelm, N. J. Ford, Analysis of fractional differential equations, J. Math. Anal. Appl., 265 (2002), 229–248. https://doi.org/10.1006/jmaa.2000.7194

5. A. Loverro, Fractional calculus: History, definitions and applications for the engineer, 2004.