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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 |
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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 |
Statistic Details: | View Download Statistic |
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