Discrete Time-Delay Optimal Control Method for Experimental Active Chatter Suppression and Its Closed-Loop Stability Analysis

Author:

Zhang Xingwu12,Yin Ziyu13,Gao Jiawei4,Liu Jinxin15,Gao Robert X.6,Cao Hongrui17,Chen Xuefeng18

Affiliation:

1. State Key Laboratory for Manufacturing System Engineering,Xi’an Jiaotong University,Xi’an, Shaanxi 710049, China;

2. School of Mechanical Engineering,Xi’an Jiaotong University,Xi’an, Shaanxi 710049, Chinae-mail: xwzhang@mail.xjtu.edu.cn

3. School of Mechanical Engineering,Xi’an Jiaotong University,Xi’an, Shaanxi 710049, Chinae-mail: 2606443498@qq.com

4. China National Aeronautical Radio Electronics Research Institute,Shanghai 200241, Chinae-mail: bodie926@126.com

5. School of Mechanical Engineering,Xi’an Jiaotong University,Xi’an, Shaanxi 710049, Chinae-mail: jinxin.liu@xjtu.edu.cn

6. Department of Mechanical and Aerospace Engineering,Case Western Reserve University,Cleveland, OH 44106e-mail: robert.gao@case.edu

7. School of Mechanical Engineering,Xi’an Jiaotong University,Xi’an, Shaanxi 710049, Chinae-mail: chr@mail.xjtu.edu.cn

8. School of Mechanical Engineering,Xi’an Jiaotong University,Xi’an, Shaanxi 710049, Chinae-mail: chenxf@mail.xjtu.edu.cn

Abstract

Abstract Chatter is a self-excited and unstable vibration phenomenon during machining operations, which affects the workpiece surface quality and the production efficiency. Active chatter control has been intensively studied to mitigate chatter and expand the boundary of machining stability. This paper presents a discrete time-delay optimal control method for chatter suppression. A dynamical model incorporating the time-periodic and time-delayed characteristic of active chatter suppression during the milling process is first formulated. Next, the milling system is represented as a discrete linear time-invariant (LTI) system with state-space description through averaging and discretization. An optimal control strategy is then formulated to stabilize unstable cutting states, where the balanced realization method is applied to determine the weighting matrix without trial and error. Finally, a closed-loop stability lobe diagram (CLSLD) is proposed to evaluate the performance of the designed controller based on the proposed method. The CLSLD can provide the stability lobe diagram with control and evaluate the performance and robustness of the controller cross the tested spindle speeds. Through many numerical simulations and experimental studies, it demonstrates that the proposed control method can make the unstable cutting parameters stable with control on, reduce the control force to 21% of traditional weighting matrix selection method by trial and error in simulation, and reduce the amplitude of chatter frequency up to 78.6% in experiment. Hence, the designed controller reduces the performance requirements of actuators during active chatter suppression.

Funder

National Natural Science Foundation of China

Research Organization of Information and Systems

Key Laboratory of Engineering Structures Damage and Diagnosis of Hunan Province

Publisher

ASME International

Subject

Industrial and Manufacturing Engineering,Computer Science Applications,Mechanical Engineering,Control and Systems Engineering

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Development of a vibration free machine structure for high-speed micro-milling center;The International Journal of Advanced Manufacturing Technology;2021-07-21

2. Experimental oscillation-assisted cylindrical plunge grinding;Journal of Manufacturing Science and Engineering;2021-06-02

3. Active suppression of milling chatter based on LQR-ANFIS;The International Journal of Advanced Manufacturing Technology;2020-10-27

4. Active Chatter Suppression in Low Immersion Intermittent Milling Process;Journal of Manufacturing Science and Engineering;2020-08-27

5. Active Chatter Suppression in Turning by Simultaneous Adjustment of Amplitude and Frequency of Spindle Speed Variation;Journal of Manufacturing Science and Engineering;2019-12-17

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3