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伺服系统受摩擦扰动产生极限环的因为及稳定性分析
引用本文:宋彦,高慧斌,田彦涛,张淑梅.伺服系统受摩擦扰动产生极限环的因为及稳定性分析[J].吉林大学学报(工学版),2011,41(1):214-0220.
作者姓名:宋彦  高慧斌  田彦涛  张淑梅
作者单位:1. 中国科学院长春光学精密机械与物理研究所,长春130033;中国科学院研究生院,北京100039
2. 中国科学院长春光学精密机械与物理研究所,长春,130033
3. 吉林大学控制理论与智能系统研究室长春130022
基金项目:“863”国家高技术研究发展计划项目(2008AA0047)
摘    要:讨论了低速工况下,由摩擦造成极限环现象.首先,采用分段线性化的方法,将Stribeck摩擦模型转换为线性的摩擦模型,获得了系统的状态方程;随后,应用系统平衡点性质分析和Poincare-Bendixson定理,证明了极限环的存在,确定了存在区域;最后,通过对Poincare映射的分析,判断了极限环的稳定性.仿真与实验结...

关 键 词:自动控制技术  摩擦扰动  非线性动力学  极限环  速度平稳性
收稿时间:2009-05-12

Reasoning and stability of limit cycle generated by friction in servo system
SONG Yan,GAO Hui-bin,TIAN Yan-tao,ZHANG Shu-mei.Reasoning and stability of limit cycle generated by friction in servo system[J].Journal of Jilin University:Eng and Technol Ed,2011,41(1):214-0220.
Authors:SONG Yan  GAO Hui-bin  TIAN Yan-tao  ZHANG Shu-mei
Affiliation:SONG Yan1,2,GAO Hui-bin1,TIAN Yan-tao3,ZHANG Shu-mei1 (1.Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China,2.Graduate University of the Chinese Academy of Science,Beijing 100039,3.Lab of Control Theory and Intelligent System,Jilin University,Changchun 130022,China)
Abstract:The phenomenon of limit cycle was observed in low-velocity servo system. With the help of nonlinear analysis tools, this paper analyzes the kinetics of limit cycle and finds out the reasons that induce this phenomenon. First, the Stribeck model was converted to piecewise linearized friction model and the state space model was also obtained. Then, by analyzing the feature of the system balance point and using Poincare-Bendixson theorem, the existence of the limit cycle was proved. The region where the limit ...
Keywords:automatic control technology  friction disturbance  non-linear dynamic  limit cycle  velocity stability  
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