机敏约束层阻尼H∞混合灵敏度控制研究

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摘要以SCLD对边约束板结构为研究对象，采用H∞混合灵敏度控制算法对机敏约束结构振动主动控制问题展开研究。基于有限元单元法，引入GHM模型建立了系统的动力学模型。采用动力缩聚和内平衡相结合的降阶方法，获得了可控可观的控制模型。提出H∞混合灵敏度控制算法加权函数选取方法并设计出H∞鲁棒控制器。最终在不同外扰激励下对实际控制效果进行了试验验证，结果表明：根据本文方法所设计出的鲁棒H∞控制器对板结构主动控制取得良好的效果，对正弦激励振动响应幅值衰减近40%，对白噪声激励振动响应均方根值衰减18%。

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关键词 ：振动；主动控制；机敏约束层阻尼；H&infin, 混合灵敏度；加权函数

Abstract：The vibration active control of piezoelectric smart constrained layer damping technology was researched by using the mixed sensitivity method of H∞ robust control theory. The system dynamics model was established based on finite method and GHM damping model. The controllable and observable control model was obtained by using dynamic condensation method and balanced model reduction method. This paper proposes the general selection method of weighting function and the H∞ controller was designed. Finally, the experiment was carried out under different external disturbance excitation, the results show that the effect of active control of the plate vibration is good by robust H∞ controller which designed by this paper’s method. The vibration response of sine excitation amplitude attenuation nearly 40%, The vibration response of random white noise amplitude attenuation nearly 18%.

Key words： vibration active control Smart constrained layer damping mixed sensitivity method of H∞ weighting function

收稿日期: 2015-05-13 出版日期: 2016-11-25

引用本文:

王攀1，廖海辰1，邓兆祥1,2，鲁俊1，王正亚1. 机敏约束层阻尼H∞混合灵敏度控制研究[J]. 振动与冲击, 2016, 35(23): 168-173.
WANG Pan1 LIAO Hai-chen1 DENG Zhao-xiang1,2 LU Jun1 WANG Zheng-ya1. Study on H∞ mixed sensitivity control for smart constrained layer damping. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(23): 168-173.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I23/168

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