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Minimum energy control of fractional-order differential-algebraic system


Citation

Muhafzan and Zulakmal and Yulanda Mardiana Putri and Leong, Wah June (2022) Minimum energy control of fractional-order differential-algebraic system. Cybernetics and Physics, 11 (3). 151 - 156. ISSN 2223-7038; ESSN: 2226-4116

Abstract

This paper discusses the minimum energy control problem of fractional-order differential-algebraic system. The main aim of this paper is to find the minimum energy that drives an initial state of the fractional order differential-algebraic system to the zero state such that an index performance is minimized. The method of solving is to convert the minimum energy control problem of fractional-order differential-algebraic system into the standard fractional-order linear quadratic optimization problem by using a transformation and further solve the standard fractional-order linear quadratic optimization using the available theory in the literature. Under some particular conditions, we find the explicit formulas of the minimum energy control of fractional-order differential-algebraic system in Mittag-Leffler terms.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.35470/2226-4116-2022-11-3-151-156
Publisher: Russian Academy of Sciences, Institute of Problems in Mechanical Engineering
Keywords: Minimum energy control; Fractional-order; Differential-algebraic system; Mittag-Leffler
Depositing User: Ms. Che Wa Zakaria
Date Deposited: 06 Nov 2023 06:22
Last Modified: 06 Nov 2023 06:22
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.35470/2226-4116-2022-11-3-151-156
URI: http://psasir.upm.edu.my/id/eprint/102184
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