Multi-objective variance control of structural vibration

NING Xiang-liang¹, TAN Ping², LIU Hong-jun¹, ZHOU Fu-lin^1,2

1.Dept.of Urban and Civil Engineering,Harbin Institute of Technology(Shenzhen Graduate School),Shenzhen 518055,China;2.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¡ªcontrolled structure¡ªcontrol 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£º10.11916/j.issn.1005-9113.2011.03.026

Clc Number:TU311.3

Fund: