Multi-objective variance control of structural vibration  

作　　者：宁响亮 谭平 刘红军 周福霖 

机构地区：[1]Dept.of Urban and Civil Engineering,Harbin Institute of Technology(Shenzhen Graduate School) [2]Earthquake Engineering Research and Test Center,Guangzhou University

出　　处：《Journal of Harbin Institute of Technology(New Series)》2011年第3期139-143,共5页哈尔滨工业大学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 50608021,90815027)

摘　　要：A procedure for the design of state feedback controller for seismic-excited structures is presented in this paper.The external exciting-controlled structure-control system was simulated using state space model.Based on the convex optimization technology and variance control theorem,the general expression of linear matrix inequalities (LMIs) for state feedback controller with closed-loop poles and the steady variance responses constrained were deduced,in which the poles and variance response of system were guaranteed to satisfy certain constraints assigned in advance.LMI Toolbox of MATALB was employed for optimizing the state feedback controller.At last,a three-story simple lumped mass shear model was used to demonstrate the effectiveness and superiority of the proposed method.A procedure for the design of state feedback controller for seismic-excited structures is presented in this paper. The external exciting--controlled structure--control system was simulated using state space model. Based on the convex optimization technology and variance control theorem, the general expression of linear matrix inequalities （LMIs） for state feedback controller with closed-loop poles and the steady variance responses constrained were deduced, in which the poles and variance response of system were guaranteed to satisfy certain constraints assigned in advance. LMI Toolbox of MATALB was employed for optimizing the state feedback controller. At last, a three-story simple lumped mass shear model was used to demonstrate the effectiveness and superiority of the proposed method.

关 键 词：variance control convex optimization linear matrix inequality state feedback 

分 类 号：TU311.3[建筑科学—结构工程] P315.966[天文地球—地震学]