| 二自由度轴盘扭振系统的极限环稳定性控制 |
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| 引用本文： | 刘爽,李晓梅,刘彬. 二自由度轴盘扭振系统的极限环稳定性控制[J]. 燕山大学学报, 2010, 34(4): 289-292. DOI: 10.3969/j.issn.1007-791X.2010.04.002 |
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| 作者姓名： | 刘爽 李晓梅 刘彬 |
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| 作者单位： | 1. 燕山大学,工业计算机控制工程河北省重点实验室,河北,秦皇岛,066004
2. 冀东发展集团公司,河北,唐山063000 |
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| 基金项目： | 河北省自然科学基金资助项目，河北省教育厅科学研究计划资助项目 |
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| 摘 要： | 建立一类含非线性阻尼的二自由度轴盘扭振系统的动力学方程,根据Hopf定理确定非线性系统的分岔临界点,并采用数值模拟的方法分析在非线性阻尼变化时系统产生极限环的稳定性。针对未受控系统极限环不稳定而引起的失稳振荡问题,引入非线性状态反馈控制器,运用多尺度法求取非线性系统分岔点处的规范形,并给出控制极限环稳定性的反馈增益。仿真表明,该控制器能有效的控制系统极限环的稳定性。
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| 关 键 词： | 轴盘扭振系统 Hopf分岔 极限环 稳定性 |
Stability control of limit cycle for a shaft-disk system with two-degree freedom |
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| LIU Shuang,LI Xiao-mei,LIU Bin. Stability control of limit cycle for a shaft-disk system with two-degree freedom[J]. Journal of Yanshan University, 2010, 34(4): 289-292. DOI: 10.3969/j.issn.1007-791X.2010.04.002 |
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| Authors: | LIU Shuang LI Xiao-mei LIU Bin |
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| Affiliation: | LIU Shuang 1,LI Xiao-mei 2,LIU Bin 1 (1. Key Lab of Industrial Computer Control Engineering of Hebei Province,Yanshan University,Qinhuangdao,Hebei 066004,China,2. Jidong Development Group,Tangshan,Hebei 063000,China) |
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| Abstract: | The dynamics equations of shaft-disk system with 2 degree freedom are established including nonlinear damps. According to the Hopf theorem the critical bifurcation point can be found, and the stability of limit cycle is analyzed with numerical simulation under the condition of different damps. For the unstable limit cycle can cause the vibration in system, a nonlinear feedback controller is proposed, and the normal form is obtained with the aid of multi-scale time method, further more the gain of controller... |
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| Keywords: | shaft-disk system Hopf bifurcation limit cycle stability |
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