Output feedback finite‐time dissipative control for uncertain nonlinear fractional‐order systems

This paper solves the robustly finite‐time dissipativity control problems for uncertain nonlinear fractional‐order systems (FOS). Firstly, by using some basic mathematical transformations associated with linear matrix inequality (LMI) techniques, a novel condition for the existence of output feedbac...

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Bibliographic Details
Published inAsian journal of control Vol. 24; no. 5; pp. 2284 - 2293
Main Authors Thi Hong, Duong, Huu Sau, Nguyen, Viet Thuan, Mai
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc 01.09.2022
Subjects
Control systems
Dissipation
dissipative control
Feedback control
finite‐time stabilizable
Fractional calculus
fractional‐order systems
Linear matrix inequalities
linear matrix inequality
Mathematical analysis
Nonlinear control
Output feedback
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Summary:This paper solves the robustly finite‐time dissipativity control problems for uncertain nonlinear fractional‐order systems (FOS). Firstly, by using some basic mathematical transformations associated with linear matrix inequality (LMI) techniques, a novel condition for the existence of output feedback controllers is established to ensure the closed‐loop FOS is finite‐time stabilizable. Then, based on the proposed stabilization criterion combined with some well‐known properties of fractional calculus, the finite‐time dissipativity control problem for nonlinear FOS subject to uncertainties is studied for the first time. Two numerical examples are provided to illustrate the effectiveness of the proposed results.
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ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2643