摘要
设计了非线性参数控制器 ,改变了参数激励系统 2倍超谐共振时的稳态响应 ,减小了系统的响应幅值和消除了超谐共振时的鞍结分岔 ,从而消除了跳跃和滞后现象 .首先由多尺度法得到参数系统的近似频响方程 ,再进行分岔分析 ,从而实现非线性控制的目标 .通过数值模拟 。
A nonlinear parametric feedback control is proposed to modify the steady_state resonance responses, thus to reduce the amplitude of the response and to eliminate the saddle_node bifurcations that take place in the resonance responses. The nonlinear gain of the feedback control is determined by analyzing the bifurcation function associated with the corresponding frequency_response equation and the Jacobian matrix. It is shown by illustrative examples that the proposed nonlinear feedback is effective for controlling superharmonic resonance responses.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2004年第9期2889-2893,共5页
Acta Physica Sinica
基金
湖南省自然科学基金 (批准号 :0 1JJY2 0 0 7)资助的课题~~
关键词
非线性参数控制器
参数激励
鞍结分岔
分岔控制
2倍超谐共振
parametrically excited system, saddle-node bifurcation, bifurcation control, superharmonic resonance
