Minimum energy control of fractional-order differential-algebraic system

Q3 Physics and Astronomy

Cybernetics and Physics Pub Date : 2022-11-17 DOI:10.35470/2226-4116-2022-11-3-151-156

Muhafzan, Zulakmal, Y. M. Putri, L. June

引用次数: 0

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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分数阶微分代数系统的最小能量控制

本文讨论了分数阶微分代数系统的最小能量控制问题。本文的主要目的是找到将分数阶微分代数系统的初始状态驱动到零状态的最小能量，从而使指标性能最小化。求解方法是通过变换将分数阶微分代数系统的最小能量控制问题转化为标准分数阶线性二次优化问题，并利用文献中现有的理论进一步求解标准分数阶直线二次优化。在某些特定条件下，我们在Mittag-Leffler项下得到了分数阶微分代数系统最小能量控制的显式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Cybernetics and Physics Chemical Engineering-Fluid Flow and Transfer Processes

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

10 weeks

期刊介绍： The scope of the journal includes: -Nonlinear dynamics and control -Complexity and self-organization -Control of oscillations -Control of chaos and bifurcations -Control in thermodynamics -Control of flows and turbulence -Information Physics -Cyber-physical systems -Modeling and identification of physical systems -Quantum information and control -Analysis and control of complex networks -Synchronization of systems and networks -Control of mechanical and micromechanical systems -Dynamics and control of plasma, beams, lasers, nanostructures -Applications of cybernetic methods in chemistry, biology, other natural sciences The papers in cybernetics with physical flavor as well as the papers in physics with cybernetic flavor are welcome. Cybernetics is assumed to include, in addition to control, such areas as estimation, filtering, optimization, identification, information theory, pattern recognition and other related areas.