摘要
讨论了一个两自由度的含立方非线性项的受迫振动系统,设计了反馈控制器,对弱非线性系统用近似解析方法求出了控制系统的幅值控制方程,得到了控制参数与幅值的函数关系,实现了反馈控制法在多自由度非线性系统的鞍结分岔控制中的应用,证实了多尺度摄动法对多自由度非线性系统鞍结分岔控制的有效性和适用性.
A forced two-degree-of-freedom coupled system with cubic nonlinear terms was analyzed,and a feedback controller of nonlinear was designed.With the aid of approximate analytical method,the relationship between the control parameters and the amplitude of the vibration system was obtained,which proves that the feedback control is suitable in saddle-node bifurcation control of nonlinear systems with multi-degrees of freedom,and the multi-scale method is also applicable.
出处
《动力学与控制学报》
2011年第1期64-67,共4页
Journal of Dynamics and Control
基金
浙江省教育厅科研资助项目(Y200906643)~~
关键词
单频外激励
耦合
鞍结分岔
振动幅值
反馈控制
single-frequency excitation
coupled
saddle-node bifurcation
amplitude
feedback control
