相邻结构间控制器位置及控制律的降阶优化方法研究  

The reduced order optimum method for the placement and control law design of control devices between two adjacent structures

作　　者：滕军[1] 

机构地区：[1]哈尔滨工业大学深圳研究生院,广东深圳518057

出　　处：《建筑结构学报》2003年第4期17-24,共8页Journal of Building Structures

基　　金：国家自然科学基金资助项目(50278057)。

摘　　要：相邻结构以控制器联系的控制体系结构间控制器设计包括两项内容,即控制器数量和位置确定及控制器参数确定。本文应用LQG问题的有关结论,建立了在系统最优反馈控制增益不变情况下系统最优控制性能指标随控制作用分布矩阵变化的增量解析式。在这个结论的基础上,建立了系统控制器优化分布的设计方法,并应用分级降阶的迭代方法,克服了反馈控制增益不变的缺陷,使大型结构中安装少量控制器时,求解出控制器最优布置的精确解。本文的研究结果建立了同时优化控制器的数量、位置和反馈增益的设计方法。The design of the control devices for the control system of adjacent structures connected with control devices involves two aspects: the number and placement of the control devices and the control law or the parameters of the control devices. The performance index increment equation is developed in this paper by using the conclusions of LQG problem at the condition of the optimal control gain unchanged. Hence the optimum placement method is established. The step reduced order iteration method is used to overcome the defect of the control gain unchanging and it can be applied to the case in which only a few control devices are to be placed into the building with a large number of storey units. The proposed method gives the optimum design of number, placement and control law of the control devices at the same time.

关 键 词：相邻结构 控制器 相邻结构 分布矩阵 

分 类 号：TU352.12[建筑科学—结构工程]