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Research Papers: Control

Fractional Order Filter Enhanced LQR for Seismic Protection of Civil Structures

[+] Author and Article Information
Abdollah Shafieezadeh

Department of Civil and Environmental Engineering, Utah State University, 4110 Old Main Hill, Logan, UT 84322-4110a.shafiee@aggiemail.usu.edu

Keri Ryan

Department of Civil and Environmental Engineering, Utah State University, 4110 Old Main Hill, Logan, UT 84322-4110kryan@engineering.usu.edu

YangQuan Chen

CSOIS, Department of Electrical and Computer Engineering, Utah State University, 4120 Old Main Hill, Logan, UT 84322-4120yqchen@ece.usu.edu

J. Comput. Nonlinear Dynam 3(2), 021404 (Feb 04, 2008) (7 pages) doi:10.1115/1.2833947 History: Received July 02, 2007; Revised October 08, 2007; Published February 04, 2008

This study presents fractional order filters to enhance the performance of the conventional linear quadratic regulator (LQR) method for optimal robust control of a simple civil structure. The introduced filters modify the state variables fed back to the constant gain controller. Four combinations of fractional order filter and LQR are considered and optimized based on a new performance criterion defined in the paper. Introducing fractional order filters is shown to considerably improve the results for both the artificially generated ground motions and previously recorded earthquake data.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figure 1

Schematic view of a simple two-story structure

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Figure 2

The SIMULINK model of the LQR control

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Figure 3

Relative response of the Case 1 controller

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Figure 4

Structural performance of the building for different controllers subjected to artificially generated ground motions

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