Finite-time dissipative control design for one-sided Lipschitz nonlinear singular Caputo fractional order systems

This paper presents an efficient analytical approach for solving the problem of dissipative control in one-sided Lipschitz singular Caputo fractional-order systems subject to nonlinear perturbations. The approach is based on mathematical transformations, and fractional calculus. A state feedback con...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of systems science Vol. 54; no. 8; pp. 1694 - 1712
Main Authors Thi Phuong, Nguyen, Huu Sau, Nguyen, Viet Thuan, Mai
Format Journal Article
LanguageEnglish
Published London Taylor & Francis 11.06.2023
Taylor & Francis Ltd
Subjects
Closed loops
Control systems design
Dissipation
Feedback control
Fractional calculus
Linear matrix inequalities
Mathematical analysis
one-sided Lipschitz condition
Performance indices
Perturbation
Singular fractional-order systems
singularity value theory
State feedback
uncertainty
Online AccessGet full text

Cover

More Information
Summary:This paper presents an efficient analytical approach for solving the problem of dissipative control in one-sided Lipschitz singular Caputo fractional-order systems subject to nonlinear perturbations. The approach is based on mathematical transformations, and fractional calculus. A state feedback controller is designed to ensure that the closed-loop system is regular, impulse-free, and finite-time bounded with a dissipativity performance index. The results are established using tractable strict linear matrix inequalities (LMIs) without any equality constraint. Two numerical examples are provided to demonstrate the effectiveness of the proposed approach.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2023.2208156