0
Research Papers

Multimode Modified Positive Position Feedback to Control a Collocated Structure

[+] Author and Article Information
Ehsan Omidi

Department of Mechanical Engineering,
The University of Alabama,
Box 870276,
Tuscaloosa, AL 35487
e-mail: eomidi@crimson.ua.edu

S. Nima Mahmoodi

Department of Mechanical Engineering,
The University of Alabama,
Box 870276,
Tuscaloosa, AL 35487
e-mail: nmahmoodi@eng.ua.edu

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 2, 2013; final manuscript received November 5, 2014; published online December 10, 2014. Assoc. Editor: May-Win L. Thein.

J. Dyn. Sys., Meas., Control 137(5), 051003 (May 01, 2015) (7 pages) Paper No: DS-13-1182; doi: 10.1115/1.4029030 History: Received May 02, 2013; Revised November 05, 2014; Online December 10, 2014

Multimode modified positive position feedback (MMPPF) is proposed to suppress vibrations at multi-resonance frequencies in flexible collocated structures. Typically, flexible structures have large numbers of active modes in low frequency bandwidths, which make them susceptible to multi-frequency resonant vibrations. Hence, it is essential for the controller to have effective suppression on all participating modes. The MMPPF controller consists of a first- and a second-order compensator for each mode, as they are all set parallel for all active modes. Because of suppression performance sensitivity to controller gain parameters, proper gain selection is essential. Here, the linear quadratic regulator (LQR) approach and a proposed method called M-norm are used for gain optimization of the MMPPF controller. The optimized controller is then evaluated experimentally using a cantilever beam, enhanced by a piezoelectric actuator. According to the obtained results, the MMPPF controller reduces vibration amplitudes to the expected lower level, under both LQR and M-norm optimization methods. In some cases, vibration amplitude at the place of piezo-actuator is reduced to even less than the vibration amplitude level of the disturbance input at clamped end.

FIGURES IN THIS ARTICLE
<>
Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Schematic view of the enhanced flexible structure

Grahic Jump Location
Fig. 2

Block diagram of closed-loop MMPPF collocated system

Grahic Jump Location
Fig. 3

Root locus plot of the resonant system with MMPPF controller, “x” denotes poles and “o” denotes zeros: (a) without the feed-through term and (b) with the feed-through term

Grahic Jump Location
Fig. 4

Frequency analysis of the influence of the feed-through term

Grahic Jump Location
Fig. 5

Experimental test setup

Grahic Jump Location
Fig. 6

Response of the cantilever beam to a chirp signal

Grahic Jump Location
Fig. 7

FFT plot of the vibration disturbance amplitude at the base

Grahic Jump Location
Fig. 8

FFT plot of the vibration amplitude of the uncontrolled system

Grahic Jump Location
Fig. 9

FFT plot of vibration amplitude for LQR-optimized MMPPF controller

Grahic Jump Location
Fig. 10

FFT plot of vibration amplitude for M-norm optimized MMPPF controller

Grahic Jump Location
Fig. 11

Input voltage to the piezoelectric actuator for vibration suppression: (a) MMPPF-LQR optimized approach and (b) MMPFF- M-norm approach

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In