变分数阶振子振动控制方法研究

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (16) : 119-121.

论文

变分数阶振子振动控制方法研究

叶宇旻1, 周林根2 ,谢兴博3

作者信息 +

Research on active vibration control method of variable order oscillator

YE Yu-min1, ZHOU Lin-gen2 ，XIE Xing-bo3

Author information +

文章历史 +

摘要

针对含变分数阶无量纲振子振动方程，考虑变分数阶微分算子表达式的复杂性，直接进行控制器设计不现实。通过分析位移时程曲线，采用截断变分数阶微分算子方式获得较好拟合效果。提出变遗忘因子概念，使变分数阶算子变为有限阶次，用其进行控制器设计成为可能，并仿真实例验证该方法的有效性。

Abstract

In the paper, a dimensionless version of the model oscillator is studied, the equation of motion is given as . Considering that the approximation expression of variable order(VO) differential operator is more complicated, it is difficult to design directly the controller, based on the curve analysis of displacement versus time, a truncation mode of VO differential operator is proposed, a concept of variable oblivion factor is proposed, meanwhile, an optimal controller is developed for the VO differential equation under study in order to reduce the dynamic responses.

导出引用

叶宇旻1, 周林根2,谢兴博3. 变分数阶振子振动控制方法研究[J]. 振动与冲击, 2015, 34(16): 119-121

YE Yu-min1, ZHOU Lin-gen2,XIE Xing-bo3. Research on active vibration control method of variable order oscillator[J]. Journal of Vibration and Shock, 2015, 34(16): 119-121

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