一种严密的结构最优控制极值条件及算法实现  

A RIGOROUS EXTREME VALUE CONDITION FOR OPTIMAL STRUCTURAL CONTROL AND ITS REALIZATION ALGORITHM

作　　者：杜永峰[1] 

机构地区：[1]兰州理工大学防震减灾研究所,兰州730050

出　　处：《工程力学》2006年第11期1-8,共8页Engineering Mechanics

基　　金：国家自然科学基金资助项目(50548016)

摘　　要：针对结构振动控制的特点,导出了可用于时域响应最优控制的极值条件。该组表达式对于采用线性二次型最优控制的强迫振动系统而言,是概念上严密的极值条件。对比了几种现有最优控制算法的思路,介绍了对结构控制算法建模思路进行改进的技术要点。利用伴随方程与状态方程形式上的相似性,用数值方法实现了一种新的结构最优控制算法。选用由作者承担设计过的三个实际隔震工程作为算例,对比了输入三种不同地震波时各种算法在模型表达和减震效果上的几个重要特点。An extreme value condition is derived for optimal control to time-domain response of structures subjected to earthquake excitation by taking the special properties of structural vibration control into account. For the purpose of calculating the control force of a forced vibration system using LQR method, the extreme value condition presented in the study is conceptually rigorous. Several current algorithms for optimal control to structural vibration were compared, and the main improvement over the current algorithms was highlighted. A new algorithm of optimal control to structural vibration has been realized by using state transition method which is based on the similarity between the companion equation and the state equation. Three isolated buildings designed by the author are employed as numerical examples, and several important features such as the model expression and control effect of different algorithms are investigated due to three different earthquake signals.

关 键 词：结构振动控制 控制算法 最优控制 基础隔震 智能隔震 

分 类 号：TU352.12[建筑科学—结构工程]