摘要
理论分析表明：由于非线性磁力的作用，此类系统将产生一次余维二分叉和二次Ｈｏｐｆ分叉及异宿分叉；此时控制器参数的设计值将直接影响系统的稳定性．文中给出了分叉参数条件、分叉曲线、全开折平面相图．最后，对实际磁轴承系统进行仿真，其结果证明了理论分析的正确性．文中的分析研究为此类控制系统的优化设计、稳定控制提供了理论依据．
Developed is a dynamic model of magnetic levitation control system with nonlinear magnetic force and feedback control. Nonlinearity of the magnetic force gave rise to Hopf and Saddle node bifurcation. Theoretical analysis shows that the controller′s parameters depend on the stability of the system. Their ranges of applicability are determined from the bifurcation curve, set and phase portraits. The complex dynamic behavior of the magnetic bearing system is shown in correspond with that found theoretically. Design and stable control of magnetic levitation control system are thus enhanced.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
1999年第4期61-64,共4页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金
关键词
磁浮控制系统
余维二分叉
非线性
磁力轴承
magnetic levitation control system
condimemsion two bifurcations
stable control
