采用粒子群算法设计分数阶时滞过程和PI控制器

IF 2.2 Q1 MATHEMATICS, APPLIED
M. M. Özyetkin, Hasan Birdane
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引用次数: 2

摘要

本文研究了分数阶时滞系统的稳定性分析。此外,还提出了基于粒子群优化(PSO)技术的PI控制器设计。采用粒子群算法获取稳定区域内的控制器参数。众所周知,用诸如鲁斯-赫维茨准则之类的解析方法来研究分数阶时滞系统的稳定性是不可能的。此外,这类系统的稳定性分析相当困难。在本研究中,对于此类系统的稳定性测试,使用了通讯作者先前在文献中介绍的近似方法。此外,还研究了单位阶跃响应来评价系统的性能。应该指出的是,由于缺乏分析方法,检验具有分数阶延迟的系统的单位阶跃响应是不可能的。本研究的目的之一就是利用所提出的近似方法来克服这一缺陷。此外,利用粒子群算法解决了稳定区域内控制器参数的选取问题,提供了所有稳定PI控制器的计算。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The processes with fractional order delay and PI controller design using particle swarm optimization
In this study, the stability analysis of systems with fractional order delay is presented. Besides, PI controller design using particle swarm optimization (PSO) technique for such systems is also presented. The PSO algorithm is used to obtain the controller parameters within the stability region. As it is known that it is not possible to investigate the stability of systems with fractional order delay using analytical methods such as the Routh-Hurwitz criterion. Furthermore, stability analysis of such systems is quite difficult. In this study, for stability testing of such systems, an approximation method previously introduced in the literature by the corresponding author is used. In addition, the unit step responses have been examined to evaluate the systems' performances. It should be noted that examining unit step responses of systems having fractional-order delay is not possible due to the absence of analytical methods. One of the aims of this study is to overcome this deficiency by using the proposed approximation method. Besides, a solution to the question of which controller parameter values should be selected in the stability region, which provides the calculation of all stabilizing PI controllers, is proposed using the PSO algorithm.
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来源期刊
CiteScore
3.30
自引率
6.20%
发文量
13
审稿时长
16 weeks
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