基于LMI的基准建筑物鲁棒控制研究  

Robust control of benchmark buildings based on LMI

作　　者：周星德[1] 竺启泽[1] 徐艳红[1] 

机构地区：[1]河海大学工程力学系,江苏南京210098

出　　处：《振动工程学报》2008年第1期7-12,共6页Journal of Vibration Engineering

基　　金：江苏省第二批"六大人才高峰"资助项目;江苏省自然科学基金资助项目(BK2003083)

摘　　要：提出了一种新的线性矩阵不等式(LMI),考虑到矩阵分解的奇异问题,提出一种降阶模式和广义逆运算。为了保证控制能够实现,还提出了附加力增益因子的概念。最后,以第三代基准建筑物中的3层建筑物为例进行了算例分析,其结果表明所提出的方法是可行的。In the course of employing active control technique to actual structures, the robust control technique can be used to reduce the influence of uncertainty factors （such as parameters, measurement noise as well as outer disturbance etc）. Although the better controller parameters can be determined by linear matrix inequalities （LMI） to design robust controller, the present H∞ controller design method with LMI will produce a larger tolerance of matrice inverse operation when the singular value decomposition（SVD） of a matrix with large condition number is made. Meanwhile,the designed controllers have a high order. In the paper, a new LMI is proposed and a reduced-order mode and generalized inverse operation are suggested to solve matrix singular value problem. Furthermore, the concept of accessional force gain factor is presented to ensure the systematic control effect. In the last, a 3-storey benchmark structure is used to demonstrate the feasibility of the proposed method.

关 键 词：基准结构 LMI H∞控制 鲁棒 附加力增益因子 

分 类 号：TU311.3[建筑科学—结构工程] TP273.1[自动化与计算机技术—检测技术与自动化装置]