| 基于能量准则的梁振动控制的LQR方法 |
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| 引用本文： | 陈敏,常军,刘正兴. 基于能量准则的梁振动控制的LQR方法[J]. 上海交通大学学报, 2003, 37(12): 1942-1946,1952 |
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| 作者姓名： | 陈敏 常军 刘正兴 |
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| 作者单位： | 上海交通大学,建筑工程与力学学院,上海,200030 |
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| 基金项目： | 国家自然科学基金资助项目(10132010) |
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| 摘 要： | 针对压电层合结构振动的LQR控制方法，为了改善结构振动控制的效果，对选用结构振动能量和控制信号能量作为控制目标函数的算法作了初步研究，为LQR方法中的权系数矩阵(矩阵Q和R)的选取提供了一定的理论依据．运用该算法对压电层合梁的振动控制进行了分析计算，结果表明，该方法能达到有效控制结构振动和减小控制能量消耗的目的．
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| 关 键 词： | 压电元件 振动控制 LQR方法 能量准则 |
| 文章编号： | 1006-2467(2003)12-1942-05 |
Linear Quadratic Regulator (LQR) Method for Vibration Control of Beams Based on Energy Criterion |
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| CHEN Min,CHANG Jun,LIU Zheng-xing. Linear Quadratic Regulator (LQR) Method for Vibration Control of Beams Based on Energy Criterion[J]. Journal of Shanghai Jiaotong University, 2003, 37(12): 1942-1946,1952 |
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| Authors: | CHEN Min CHANG Jun LIU Zheng-xing |
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| Abstract: | Based on LQR (Linear Quadratic Regulator) control method, to improve the effect of the vibration control for piezoelectric laminated structure, this paper made analysis of the control method for choosing the vibration energy of the structure and the control signal energy as the object function. This method provides a theoretic basis for selecting the appropriate weighting factors (matrixes Q and R). Applying the control method in analyzing vibration control of piezoelectric laminated beam, the numerical (results) show that it is effective in controlling the vibration and reducing the control energy. |
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| Keywords: | piezoelectric element vibration control linear quadratic regulator method energy criterion |
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