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NING Xiang-liang,TAN Ping,LIU Hong-jun,ZHOU Fu-lin.Multi-objective variance control of structural vibration[J].Journal of Harbin Institute Of Technology(New Series),2011,18(3):139-143.DOI:10.11916/j.issn.1005-9113.2011.03.026.

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Multi-objective variance control of structural vibration

Author Name	Affiliation
NING Xiang-liang	Dept.of Urban and Civil Engineering,Harbin Institute of Technology(Shenzhen Graduate School),Shenzhen 518055,China
TAN Ping	Earthquake Engineering Research and Test Center,Guangzhou University,Guangzhou 510405,China
LIU Hong-jun	Dept.of Urban and Civil Engineering,Harbin Institute of Technology(Shenzhen Graduate School),Shenzhen 518055,China
ZHOU Fu-lin	Dept.of Urban and Civil Engineering,Harbin Institute of Technology(Shenzhen Graduate School),Shenzhen 518055,China Earthquake Engineering Research and Test Center,Guangzhou University,Guangzhou 510405,China

Abstract:

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.

Key words: variance control convex optimization linear matrix inequality state feedback

DOI：10.11916/j.issn.1005-9113.2011.03.026

Clc Number:TU311.3

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