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基于改进的共识导向随机搜索方法的干扰抑制分数阶PID控制器的二自由度多目标优化整定

2DOF multi-objective optimal tuning of disturbance reject fractional order PIDA controllers according to improved consensus oriented random search method.

作者信息

Ozbey Necati, Yeroglu Celaleddin, Alagoz Baris Baykant, Herencsar Norbert, Kartci Aslihan, Sotner Roman

机构信息

Inonu University, Faculty of Engineering, Department of Computer Engineering, Malatya, Turkey.

Brno University of Technology, Faculty of Electrical Engineering and Communication, Department of Telecommunications, Brno, Czech Republic.

出版信息

J Adv Res. 2020 Apr 4;25:159-170. doi: 10.1016/j.jare.2020.03.008. eCollection 2020 Sep.

DOI:10.1016/j.jare.2020.03.008
PMID:32922983
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7474210/
Abstract

This study presents a Fractional Order Proportional Integral Derivative Acceleration (FOPIDA) controller design methodology to improve set point and disturbance reject control performance. The proposed controller tuning method performs a multi-objective optimal fine-tuning strategy that implements a Consensus Oriented Random Search (CORS) algorithm to evaluate transient simulation results of a set point filter type Two Degree of Freedom (2DOF) FOPIDA control system. Contributions of this study have three folds: Firstly, it addresses tuning problem of FOPIDA controllers for first order time delay systems. Secondly, the study aims fine-tuning of 2DOF FOPIDA control structure for improved set point and disturbance rejection control according to transient simulations of implementation models. This enhances practical performance of theoretical tuning method according to implementation requirements. Thirdly, the paper presents a hybrid controller tuning methodology that increases effectiveness of the CORS algorithm by using stabilizing controller coefficients as an initial configuration. Accordingly, the CORS algorithm performs the fine-tuning of 2DOF FOPIDA controllers to achieve an improved set point and disturbance rejection control performances. This fine-tuning is carried out by considering transient simulation results of 2DOF FOPIDA controller implementation model. Moreover, Reference to Disturbance Ratio (RDR) formulation of the FOPIDA controller is derived and used for measurement of disturbance rejection control performance. Illustrative design examples are presented to demonstrate effectiveness of the proposed method.

摘要

本研究提出了一种分数阶比例积分微分加速(FOPIDA)控制器设计方法,以改善设定值和抗干扰控制性能。所提出的控制器整定方法执行一种多目标最优微调策略,该策略采用面向共识的随机搜索(CORS)算法来评估设定值滤波器型二自由度(2DOF)FOPIDA控制系统的暂态仿真结果。本研究的贡献有三个方面:首先,它解决了一阶时滞系统的FOPIDA控制器整定问题。其次,该研究旨在根据实现模型的暂态仿真,对2DOF FOPIDA控制结构进行微调,以改善设定值和抗干扰控制。这根据实现要求提高了理论整定方法的实际性能。第三,本文提出了一种混合控制器整定方法,通过使用稳定控制器系数作为初始配置来提高CORS算法的有效性。相应地,CORS算法对2DOF FOPIDA控制器进行微调,以实现改进的设定值和抗干扰控制性能。这种微调是通过考虑2DOF FOPIDA控制器实现模型的暂态仿真结果来进行的。此外,推导了FOPIDA控制器的参考干扰比(RDR)公式,并将其用于测量抗干扰控制性能。给出了说明性设计示例,以证明所提方法的有效性。

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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f65/7474210/6f0a74d971c0/ga1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f65/7474210/dfd4fa54f948/gr1.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f65/7474210/b49f790f7840/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f65/7474210/48771aa80b67/gr6.jpg
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An integer order approximation method based on stability boundary locus for fractional order derivative/integrator operators.一种基于分数阶导数/积分算子稳定性边界轨迹的整数阶近似方法。
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Disturbance rejection performance analyses of closed loop control systems by reference to disturbance ratio.
基于干扰比的闭环控制系统干扰抑制性能分析
ISA Trans. 2015 Mar;55:63-71. doi: 10.1016/j.isatra.2014.09.013. Epub 2014 Oct 11.