| 参数激励系统的主共振分岔控制 |
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| 引用本文： | 符文彬,唐驾时. 参数激励系统的主共振分岔控制[J]. 动力学与控制学报, 2003, 1(1): 41-46 |
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| 作者姓名： | 符文彬 唐驾时 |
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| 作者单位： | 湖南大学工程力学系,长沙,410082 |
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| 基金项目： | 湖南省自然科学基金(00JJY2007).~~ |
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| 摘 要： | 设计了非线性参数控制器来改变参数激励系统的稳态响应,消除了系统主共振时的鞍结分岔和减小了系统稳态响应的幅值.从而消除了系统特有的跳跃和滞后现象.首先由多尺度法得到系统的近似频响方程,再由奇异性理论来分析分岔特性,从而实现非线性控制的目标.由数值模拟来确定了非线性参数控制器的有效性和可行性.
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| 关 键 词： | 参数激励系统 分岔控制 非线性参数前馈控制 鞍结分岔 跨临界分岔 |
| 收稿时间： | 2003-08-20 |
| 修稿时间： | 2003-08-20 |
Primary resonance bifurcation control of a parametrically excited system |
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| Fu Wenbin and Tang Jiashi. Primary resonance bifurcation control of a parametrically excited system[J]. Journal of Dynamics and Control, 2003, 1(1): 41-46 |
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| Authors: | Fu Wenbin and Tang Jiashi |
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| Abstract: | In order to modify the steady-state resonance responses,a nonlinear parametric feedback control was proposed to reduce the amplitude of the response and to eliminate the saddle-node bifurcations that take place in the resonance responses.From the singularity theory approach,the nonlinear gain of the feedback control was determined by analyzing the bifurcation diagrams associated with the corresponding frequency-response equation.The illustrative examples show that the proposed nonlinear feedback is effective for controlling the primary resonance response. |
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| Keywords: | parametrically excited system bifurcation control nonlinear parametric feedback saddle-node bifurcation transcritical bifurcation |
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