Composite synchronization of three inductor motors with a circular distribution by a fuzzy proportional–integral–derivative method in a vibration system

IF 1 4区工程技术 Q4 ENGINEERING, MECHANICAL

Mechanical Sciences Pub Date : 2023-03-23 DOI:10.5194/ms-14-143-2023

Lei Jia, Jiankang Yang, Xiaojiao Gu, Ziliang Liu, Xiaoying Ma

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Abstract

Abstract. In this article, the composite synchronization of three inductor motors with a circular distribution by a fuzzy PID (proportional–integral–derivative) method in a vibration system is investigated. The composite synchronization motion is comprised of self-synchronization and controlled synchronization motions. In the self-synchronization section, the electromechanical coupling dynamical model of the vibration system is established by introducing an inductor motor model into the dynamic model. The responses of the vibrating system are calculated, and the synchronous condition and stability criterion are both derived. With the controlled synchronization section, a master–slave controlling strategy and fuzzy PID method are applied on the controlling model. The stability of the control system is proved by the Lyapunov stability theory. A series of simulations are employed to demonstrate the practicability of the designed method. Finally, some experiments are conducted to verify the effectiveness of the proposed control method in practical application. The proposed control method exhibits a superior ability to satisfy the control of multiple motors, to be accurate in targeting the rotational speed arrival, and to be strongly robust against uncertainties and disturbances. The composite synchronization theory introduces a novel concept to design and develop types of vibration equipment.

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用模糊比例-积分-导数法实现振动系统中三台圆形分布电感电机的复合同步

摘要本文采用模糊PID（比例-积分-微分）方法研究了振动系统中三个圆形分布感应电机的复合同步。复合同步运动包括自同步运动和受控同步运动。在自同步部分，通过在动力学模型中引入感应电机模型，建立了振动系统的机电耦合动力学模型。计算了振动系统的响应，导出了系统的同步条件和稳定判据。在控制同步段的情况下，将主从控制策略和模糊PID方法应用于控制模型。用李雅普诺夫稳定性理论证明了控制系统的稳定性。通过一系列仿真验证了所设计方法的实用性。最后，通过实验验证了该控制方法在实际应用中的有效性。所提出的控制方法表现出满足多个电机控制的优越能力，精确地定位转速到达，并且对不确定性和干扰具有较强的鲁棒性。复合同步理论引入了一个新的概念来设计和开发各种类型的振动设备。

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

Mechanical Sciences ENGINEERING, MECHANICAL-

CiteScore

2.20

自引率

7.10%

发文量

审稿时长

29 weeks

期刊介绍： The journal Mechanical Sciences (MS) is an international forum for the dissemination of original contributions in the field of theoretical and applied mechanics. Its main ambition is to provide a platform for young researchers to build up a portfolio of high-quality peer-reviewed journal articles. To this end we employ an open-access publication model with moderate page charges, aiming for fast publication and great citation opportunities. A large board of reputable editors makes this possible. The journal will also publish special issues dealing with the current state of the art and future research directions in mechanical sciences. While in-depth research articles are preferred, review articles and short communications will also be considered. We intend and believe to provide a means of publication which complements established journals in the field.