| 压电结构作动/传感器配置优化 |
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| 引用本文： | 王锋,唐国金,李道奎.压电结构作动/传感器配置优化[J].暨南大学学报,2005,26(1):23-25. |
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| 作者姓名： | 王锋 唐国金 李道奎 |
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| 作者单位： | 国防科技大学航天与材料工程学院,湖南,长沙,410073 |
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| 基金项目： | 国家863基金项目(2002AA001006) |
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| 摘 要： | 提出了一种压电结构中作动／传感器优化配置的新方法．首先用有限元方法建立结构的动力学方程，并用模态方法进行降阶，然后通过Lyapunov方程分别求解扰动输入和作动器输入的能控性Grammian矩阵，通过使作动器输入的能控性矩阵向量在扰动能控性矩阵上投影长度的平方和最大值得到压电作动器的最优位置，同样的思想用于确定传感器的最优位置。
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| 关 键 词： | 振动控制 压电结构 Grammian矩阵 配置优化 |
| 文章编号： | 1000-9965(2005)01-0023-03 |
| 修稿时间： | 2004年6月10日 |
A new method for determining optimal location of piezoelectric actuator/sensor |
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| WANG Feng,TANG Guo-jin,LI Dao-kui.A new method for determining optimal location of piezoelectric actuator/sensor[J].Journal of Jinan University(Natural Science & Medicine Edition),2005,26(1):23-25. |
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| Authors: | WANG Feng TANG Guo-jin LI Dao-kui |
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| Abstract: | A new method for determining the optimal location of piezoelectric actuator and sensor are proposed. The piezoelectric structural dynamic equation is formed by finite element method and then transformed into lower dimension-alequation using modal subspace transformation, and the state space equation is established. The controllability matrices of the actuator input and the disturbance input are solved through Lyapunov equations, and the actuator controllability matrix is projected onto the disturbance controllability matrix to make a projection matrix. The optimal location of the actuator is obtained by maximizing the sum of squares of the length of the weighted column vectors in the projection matrix. Analogous method could be used to get the optimal location of the sensor. |
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| Keywords: | vibration control piezoelectric structure Grammian matrix location optimization |
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