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Minimum energy control of fractional-order differential-algebraic system

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 m...

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Main Authors: Muhafzan, Zulakmal, Yulanda Mardiana Putri, Leong, Wah June
Format: Article
Published: Russian Academy of Sciences, Institute of Problems in Mechanical Engineering 2022
Online Access:http://psasir.upm.edu.my/id/eprint/102184/
http://lib.physcon.ru/doc?id=d53cfd8b86a8
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spelling my.upm.eprints.1021842023-11-06T06:22:19Z http://psasir.upm.edu.my/id/eprint/102184/ Minimum energy control of fractional-order differential-algebraic system Muhafzan Zulakmal Yulanda Mardiana Putri Leong, Wah June 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. Russian Academy of Sciences, Institute of Problems in Mechanical Engineering 2022 Article PeerReviewed 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 http://lib.physcon.ru/doc?id=d53cfd8b86a8 10.35470/2226-4116-2022-11-3-151-156
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description 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.
format Article
author Muhafzan
Zulakmal
Yulanda Mardiana Putri
Leong, Wah June
spellingShingle Muhafzan
Zulakmal
Yulanda Mardiana Putri
Leong, Wah June
Minimum energy control of fractional-order differential-algebraic system
author_facet Muhafzan
Zulakmal
Yulanda Mardiana Putri
Leong, Wah June
author_sort Muhafzan
title Minimum energy control of fractional-order differential-algebraic system
title_short Minimum energy control of fractional-order differential-algebraic system
title_full Minimum energy control of fractional-order differential-algebraic system
title_fullStr Minimum energy control of fractional-order differential-algebraic system
title_full_unstemmed Minimum energy control of fractional-order differential-algebraic system
title_sort minimum energy control of fractional-order differential-algebraic system
publisher Russian Academy of Sciences, Institute of Problems in Mechanical Engineering
publishDate 2022
url http://psasir.upm.edu.my/id/eprint/102184/
http://lib.physcon.ru/doc?id=d53cfd8b86a8
_version_ 1783879940591058944
score 13.211869

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