Minimum energy control of fractional-order differential-algebraic system
Muhafzan Muhafzan, Zulakmal 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.
CYBERNETICS AND PHYSICS, VOL. 11, NO. 3, 2022 , 151–156 https://doi.org/10.35470/2226-4116-2022-11-3-151-156