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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 513530, 8 pages
http://dx.doi.org/10.1155/2014/513530
Research Article

Feedforward and Feedback Vibration Control and Algorithm Design for Cable-Bridge Structure Nonlinear Systems

1School of Computer and Information Engineering, Anyang Normal University, Anyang 455000, China
2School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China
3College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266042, China

Received 9 December 2013; Revised 15 February 2014; Accepted 20 February 2014; Published 23 March 2014

Academic Editor: Ryan Loxton

Copyright © 2014 Yan-Jun Liang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Technique of feedforward and feedback optimal vibration control and simulation for long-span cable-bridge coupled systems is developed. Buffeting loading systems of long-span cable-bridge structure are constructed by weighted amplitude wave superposition method. Nonlinear model of cable-bridge coupled vibration control system is established and the corresponding system of state space form is described. In order to reduce buffeting loading influence of the wind-induced vibration for the structure and improve the robust performance of the vibration control, based on semiactive vibration control devices and optimal control approach, a feedforward and feedback optimal vibration controller is designed, and an algorithm is presented for the vibration controller. Numerical simulation results are presented to illustrate the effectiveness of the proposed technique.