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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Singular Value Decomposition Method: Application to Design of Observer-Based Control for Uncertain Atangana-Baleanu-Caputo Fractional-Order One-Sided Lipschitz Nonlinear Systems

Discontinuity, Nonlinearity, and Complexity 13(2) (2024) 387--397 | DOI:10.5890/DNC.2024.06.015

Duong Thi Hong

Department of Mathematics and Informatics, TNU--University of Science, Thainguyen, Vietnam

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Abstract

In this paper, the problems of observer-based control design and asymptotically stable for uncertain Atangana-Baleanu-Caputo fractional-order one-sided Lipschitz nonlinear systems have been considered. The purpose of this problem is that we design observer-based controller to ensure that the controlled system is asymtotically stable by using singular value decomposition method (SVD) and a well-behaved property of the Atangana-Baleanu-Caputo fractional calculus. The results are obtained in terms of LMI, which can be effectively solved in polynomial time by various computational tools. Finally, a numerical example has been presented to show the simplicity of our design method.

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