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Proceedings Paper

Multimodal active vibration suppression of a flexible structure by loop shaping
Author(s): Vineet Sethi; Matthew A. Franchek; Gangbing Song
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Paper Abstract

This paper reports multimodal vibration control of a flexible beam structure with piezoceramic actuators and sensors using the loop shaping method. These piezoceramic patch actuators and sensors are surface-bonded on the flexible beam. The non-parametric identification of the flexible beam structure is carried out using the Schroeder wave. The identified open loop model is then used for loop shaping based on the extended sensitivity charts. A loop shaping compensator is designed to achieve multimodal vibration suppression. Numerical results showed a reduction of 8 decibels for first mode, 12-14 decibels for second and third mode, respectively. Experimental results closely match the simulation results. Furthermore, the results of loop shaping method are compared with those of the methods of LQR (Linear Quadratic Regulator) and pole-placement control, which are designed using state space models. Comparisons show that the loop shaping method requires less control effort while maintaining the effectiveness in vibration suppression.

Paper Details

Date Published: 17 May 2005
PDF: 12 pages
Proc. SPIE 5764, Smart Structures and Materials 2005: Smart Structures and Integrated Systems, (17 May 2005); doi: 10.1117/12.602263
Show Author Affiliations
Vineet Sethi, Univ. of Houston (United States)
Matthew A. Franchek, Univ. of Houston (United States)
Gangbing Song, Univ. of Houston (United States)

Published in SPIE Proceedings Vol. 5764:
Smart Structures and Materials 2005: Smart Structures and Integrated Systems
Alison B. Flatau, Editor(s)

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