结构主动控制最优极点配置算法研究  

Optimal pole assignment algorithm for structural active control

作　　者：杜永峰[1,2] 李春锋[1,3] 李慧[1,2] 

机构地区：[1]兰州理工大学防震减灾研究所,兰州730050 [2]西部土木工程防灾减灾教育部工程研究中心,兰州730050 [3]河西学院土木工程学院,张掖734000

出　　处：《振动与冲击》2012年第19期95-98,103,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(50978130)

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。Based on the non-uniqueness of control force matrix for structural active control pole assignment, an optimal pole assignment algorithm was proposed. The main difference between the performances of the algorithm and the classical LQR optimal active control was that structural active control weighted matries Q and R did not affect the proposed algorithm, so the new algorithm had obvious physical or engineering significance. Firstly, compared to the relationships among mathematical models of structural active control systems, based on the uniqueness of the transfer function matrix, the optimal zero-pole assignment was achieved in a complex plane. Secondly, the target transfer function matrix used to calculate its minimum state equation was established based on the expectative zero-pole, then the optimal pole assignment for structural active control was achieved. Finally, this algorithm＇s effectiveness and practicability were 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 

分 类 号：TU352.1[建筑科学—结构工程]