On tracking control problem for fractional order descriptor systems

Q3 Physics and Astronomy

Cybernetics and Physics Pub Date : 2022-09-30 DOI:10.35470/2226-4116-2022-11-2-87-93

Muhafzan, A. Nazra, A. I. Baqi, Zulakmal

引用次数: 0

Abstract

In this paper, we discuss the tracking control problem for fractional order descriptor systems. The aim of this paper is to find the optimal tracking control-state pair satisfying the dynamic constraint of the form a fractional order descriptor system such that the performance index is minimized. The method of solving is to convert such the tracking control problem for a fractional order descriptor system into the standard fractional order system. Under some particular conditions, we find the explicit formulas of the optimal tracking control-state pair which minimize the performance index.

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分数阶广义系统的跟踪控制问题

本文讨论了分数阶广义系统的跟踪控制问题。本文的目的是找到满足分数阶广义系统动态约束的最优跟踪控制状态对，以使性能指标最小化。求解方法是将这样的分数阶广义系统的跟踪控制问题转化为标准分数阶系统。在某些特定条件下，我们找到了使性能指标最小化的最优跟踪控制状态对的显式公式。

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.