Linear quadratic optimization for fractional order differential algebraic system of Riemann-Liouville type

Q3 Physics and Astronomy

Cybernetics and Physics Pub Date : 2020-12-30 DOI:10.35470/2226-4116-2020-9-4-192-197

A. Nazra, Zulakmal, L. Yulianti, Muhafzan

引用次数: 2

Abstract

In this article, the linear quadratic optimization problem subject to fractional order differential algebraic systems of Riemann-Liouville type is studied. The goal of this article is to find the optimal control-state pairs satisfying the dynamic constraint of the form a fractional order differential algebraic systems such that the linear quadratic objective functional is minimized. The transformation method is used to find the optimal controlstate pairs for this problem. The optimal control-state pairs is stated in terms of Mittag-Leffler function.

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分数阶Riemann-Liouville型微分代数系统的线性二次优化

本文研究了分数阶Riemann-Liouville型微分代数系统的线性二次优化问题。本文的目标是找到满足分数阶微分代数系统的动态约束的最优控制状态对，使得线性二次目标函数最小化。利用变换方法求解该问题的最优控制状态对。最优控制状态对用Mittag-Leffler函数表示。

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.