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...
| Main Authors: | , , , |
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| Format: | Article |
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Russian Academy of Sciences, Institute of Problems in Mechanical Engineering
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/102184/ |
| _version_ | 1848863737222529024 |
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| author | Muhafzan Zulakmal Yulanda Mardiana Putri Leong, Wah June |
| author_facet | Muhafzan Zulakmal Yulanda Mardiana Putri Leong, Wah June |
| author_sort | Muhafzan |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T13:37:40Z |
| format | Article |
| id | upm-102184 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:37:40Z |
| publishDate | 2022 |
| publisher | Russian Academy of Sciences, Institute of Problems in Mechanical Engineering |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Muhafzan Zulakmal Yulanda Mardiana Putri Leong, Wah June Minimum energy control of fractional-order differential-algebraic system |
| title | 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_short | Minimum energy control of fractional-order differential-algebraic system |
| title_sort | minimum energy control of fractional-order differential-algebraic system |
| url | http://psasir.upm.edu.my/id/eprint/102184/ http://psasir.upm.edu.my/id/eprint/102184/ http://psasir.upm.edu.my/id/eprint/102184/ |