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: | , , , |
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| Format: | Article |
| Published: |
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/ http://lib.physcon.ru/doc?id=d53cfd8b86a8 |
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| Summary: | 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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