结构主动控制最优极点配置算法研究

杜永峰; 李春锋; 李慧;

振动与冲击 ›› 2012, Vol. 31 ›› Issue (19) : 95-98.

PDF(943 KB)
PDF(943 KB)
振动与冲击 ›› 2012, Vol. 31 ›› Issue (19) : 95-98.
论文

结构主动控制最优极点配置算法研究

  • 杜永峰1,3 李春锋1,2 李慧1,3
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The Optimal Pole Assignment Algorithm Research on Structural Active Control

  • DU Yong-feng1, 3, LI Chun-feng1, 2, LI Hui1, 3
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摘要

针对结构主动控制极点配置理论所得控制力矩阵的不唯一性,提出一种基于结构主动控制极点配置的优化算法。该算法与经典LQR最优主动控制主要区别表现在用于结构主动控制时不受加权矩阵Q和R的影响,具有明显的物理或工程意义。首先,对比了结构主动控制系统各数学模型之间的相互关系,依据传递函数矩阵的唯一性, 在复平面内进行最优零极点配置;其次,构造基于期望零极点的目标传递函数矩阵,并对传递函数矩阵进行目标最小实现,从而实现结构主动控制的最优极点配置;最后采用算例说明本文算法的有效性和实用性。

Abstract

Based on the non-uniqueness of control force matrix on structure active control pole assignment, the Optimal pole assignment algorithm was proposed. The main difference between the performances of the algorithm with the classical LQR optimal active control is not used for active structural control weighting matrix Q and R, with obvious physical or engineering significance. Firstly, compared to relationship between the mathematical models of structural active control system, based on the uniqueness of the transfer function matrix, the optimal pole assignment was achieved in complex plane. Secondly, the target transfer function matrix which was used to calculate its minimum state equation was established based on the expectation zero-pole, then optimal pole assignment of structure active control was achieved. Finally, this algorithm effectiveness and practicality was proved through an example.

关键词

结构主动控制 / 数学模型 / 最优极点配置 / 算法

Key words

Structural Active Control / Mathematic Model / Optimal Pole Assignment / Algorithm

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导出引用
杜永峰; 李春锋; 李慧;. 结构主动控制最优极点配置算法研究[J]. 振动与冲击, 2012, 31(19): 95-98
DU Yong-feng;;LI Chun-feng;;LI Hui;. The Optimal Pole Assignment Algorithm Research on Structural Active Control[J]. Journal of Vibration and Shock, 2012, 31(19): 95-98

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