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非线性土木结构振动控制的逆系统方法
引用本文:张强,何玉敖. 非线性土木结构振动控制的逆系统方法[J]. 地震工程与工程振动, 2007, 27(2): 112-119
作者姓名:张强  何玉敖
作者单位:天津大学,建筑工程学院,抗震理论研究室,天津,300072;中国民航大学,交通工程学院,土木工程系教研室,天津,300300;天津大学,建筑工程学院,抗震理论研究室,天津,300072
摘    要:采用多变量非线性控制的逆系统理论,将多变量、非线性的复杂被控对象精确线性化成伪线性系统,对于该伪线性系统很容易基于线性系统理论设计综合最优控制器。克服了传统的非线性结构近似线性化控制方法不够精确的缺点,实现了非线性结构的动态精确线性化控制。给出了一个仿真实例,将其控制效果与一般的线性和近似线性化最优控制作了比较,达到同样控制效果时本方法所需控制力显著减小。

关 键 词:非线性结构  土木结构  振动控制  精确线性化  逆系统
文章编号:1000-1301(2007)02-0112-08
修稿时间:2006-08-092006-11-28

Inverse system method for Vibration control of nonlinear civil structure
ZHANG Qiang,HE Yu'ao. Inverse system method for Vibration control of nonlinear civil structure[J]. Earthquake Engineering and Engineering Vibration, 2007, 27(2): 112-119
Authors:ZHANG Qiang  HE Yu'ao
Affiliation:1. School of Civil Engineering, Tianjin University, Tianjin 300072, China; 2. School of Transportation Engineering, Civil Aviation University of China,Tianjin 300300, China
Abstract:The multivariable nonlinear system is linearized precisely into pseudo-linear integral systems on the basis of the multivariable inverse system theory.It's easy to design linear controllers for pseudo-linear system on the basis of linear system theory.The method adopts exact linearization instead of traditional approximate linearization.The analytical result shows that the control strategy can realize the precise dynamic control of vibration.A simulation example is given,and its control effect is compared with normal linear and approximate linearization control method.Simulation results demonstrate that the required control force for proposed method is significantly lesser than the other two to achieve equal control effect.
Keywords:Nonlinear structure  Civil structure  Vibration control  Exact linearization  Inverse system
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