|本期目录/Table of Contents|

[1]杨益飞,骆敏舟,邢绍邦,等. D-分割技术确定磁轴承的PID参数鲁棒稳定域[J].电机与控制学报,2015,19(06):95-101.[doi:10. 15938/j. emc.2015.06.015]
 YANG Yi-fei,LUO Min-zhou,XING Shao-bang,et al. Robust stability regions of PID parameters for magneticbearing based on D-partition technique[J].,2015,19(06):95-101.[doi:10. 15938/j. emc.2015.06.015]
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 D-分割技术确定磁轴承的PID参数鲁棒稳定域(PDF)
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《电机与控制学报》[ISSN:1007-449X/CN:23-1 408/TM]

卷:
19
期数:
2015年06
页码:
95-101
栏目:
出版日期:
2015-06-15

文章信息/Info

Title:
 Robust stability regions of PID parameters for magnetic
bearing based on D-partition technique
作者:
 杨益飞骆敏舟邢绍邦韩晓新李月‘朱熀秋
 1.江苏理工学院电气信息工程学院,江苏常州213001;2.中国科学院合肥物质科学研究院,先进制造技术研究所,江苏常州213164;3.江苏大学电气信息工程学院,江苏镇江212013
Author(s):
 YANG Yi-feiLUO Min-zhou2XING Shao-bangHAN Xiao-xin LI Yue-hongZHU Huang-qiu
 1. School of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou 213001,China ;
2. Institute of Advanced Manufacturing Technology, Hefei Institutes of Physical Science, Chinese Academy of Sciences,Changzhou 213164,China; 3. School of Elec;tric;al and Information Engineering, Jiangsu
University, Zhenjiang 212013,China
关键词:
 PID控制器磁轴承时滞H∞指标稳定域
Keywords:
PID controllermagnetic bearingtime-delayH-infinity indexstabilizing region stability
分类号:
TP 273
DOI:
10. 15938/j. emc.2015.06.015
文献标志码:
A
摘要:
 摘要:给出仅依靠频率响应确定磁轴承的PID控制参数鲁棒稳定域的方法。根据小增益定理得
到闭环系统的鲁棒稳定性条件,由此推导出加性不确定性的内部稳定H∞指标,再由边界穿越定理
和D一分割技术,推导了满足H∞指标的PID控制器的鲁棒参数稳定域边界的解析表达式。在稳定
域中任选PID参数,可以使得系统稳定并满足鲁棒性能约束条件。该方法降低了PID控制器参数
稳定域设计的难度,对磁轴承时滞系统PID参数调节具有良好的鲁棒性。仿真和实验证明了本文
方法的有效性。
Abstract:
 Abstract:A method was introduced for finding all proportional integral derivation(PID)controllers that
satisfy a robust performance constraint for a given transfer function of magnetic bearing with time-delay by
using the frequency response. The H-infinity index of additive weight uncertainty on the basis of robust-
ness stability condition of closed loop system was first got by small gain theorem. Then,Based on the
boundary crossing theorem,the parameter boundaries with the expected decay ratio index of PID control-
ler were derived. The system can be stabilized and robustly meet the performance requirements by choosing PID controllers parameter in the stability region. The proposed method avoids the complexity of stability regions of PID parameters,and the closed-loop system has strong robustness for magnetic bearing with time-delay system. The simulation and experiment results demonstrate the validity of this method.

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备注/Memo

备注/Memo:
 基金项目:江苏省自然科学基金(BK2012909);江苏省高校自然科学研究项目(12KJJB470004);常州市科技支撑计划项目(CE20120100 );江
苏理工学院创新团队(20510311303);江苏理工学院教授博士专项项目(KYY13001) .
更新日期/Last Update: 2015-07-24