智能柔性构件振动改进多模态正位置反馈控制

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (10) : 115-120.

论文

娄军强1，魏燕定2，杨依领2，谢锋然2，赵晓伟2

作者信息 +

Modified multi-mode positive position feedback for active vibration control of a smart flexible structure

LOU Jun-qiang1，WEI Yan-ding2，YANG Yi-ling2，XIE Feng-ran2，ZHAO Xiao-wei2

Author information +

文章历史 +

摘要

为实现较少致动器数目下柔性构件多个振动模态的主动控制，基于力学原理及模态理论建立智能柔性构件动力学方程。在研究单模态PPF控制器性能特点及稳定条件基础上，提出考虑不同模态权重的改进多模态PPF控制器。采用根轨迹法分析系统的闭环阻尼特性确立各阶PPF控制器最佳控制参数并进行数值仿真；搭建实验平台验证相关分析及控制策略的有效性。结果表明，所提考虑模态权重的改进多模态PPF控制器利用单组致动器能有效抑制柔性梁构件的多阶振动模态、显著缩短柔性构件振动的衰减时间。实验中柔性构件的衰减时间由6 s减少为2.5 s。实现较少数目致动器下柔性构件多阶弹性模态的振动主动控制。

Abstract

To active suppress the multi-mode vibration of the structure with less number of actuators, the dynamic model of a smart flexible structure is derived based on mechanical principle and modal theory. Characteristics and stability condition for a single-mode Positive Position Feedback(PPF) controller are proposed, and then a modified Multi-mode PPF controller considering different weight of each mode is presented. Damping characteristics of the close-loop system is acquired by root locus method; therefore, the optimum parameters of the PPF controller for each mode are obtained. After some numerical simulations, the experimental system is set up. The validity and feasibility of the proposed controller are demonstrated by the analytical and experimental results. The multi-mode vibration of the structure is significantly reduced using only a pair of piezoelectric actuators, and its damping process is shorten to 2.5s from 6s. So the multi-mode vibration of the flexible structure is well suppressed using less number of piezoelectric actuators.

导出引用

娄军强1，魏燕定2，杨依领2，谢锋然2，赵晓伟2. 智能柔性构件振动改进多模态正位置反馈控制[J]. 振动与冲击, 2015, 34(10): 115-120

LOU Jun-qiang1，WEI Yan-ding2，YANG Yi-ling2，XIE Feng-ran2，ZHAO Xiao-wei2. Modified multi-mode positive position feedback for active vibration control of a smart flexible structure[J]. Journal of Vibration and Shock, 2015, 34(10): 115-120

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