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.
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Multimode Modified Positive Position Feedback to Control a Collocated Structure
Ehsan Omidi,
Ehsan Omidi
Department of Mechanical Engineering,
e-mail: eomidi@crimson.ua.edu
The University of Alabama
,Box 870276
,Tuscaloosa, AL 35487
e-mail: eomidi@crimson.ua.edu
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S. Nima Mahmoodi
S. Nima Mahmoodi
1
Department of Mechanical Engineering,
e-mail: nmahmoodi@eng.ua.edu
The University of Alabama
,Box 870276
,Tuscaloosa, AL 35487
e-mail: nmahmoodi@eng.ua.edu
1Corresponding author.
Search for other works by this author on:
Ehsan Omidi
Department of Mechanical Engineering,
e-mail: eomidi@crimson.ua.edu
The University of Alabama
,Box 870276
,Tuscaloosa, AL 35487
e-mail: eomidi@crimson.ua.edu
S. Nima Mahmoodi
Department of Mechanical Engineering,
e-mail: nmahmoodi@eng.ua.edu
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. May 2015, 137(5): 051003 (7 pages)
Published Online: May 1, 2015
Article history
Received:
May 2, 2013
Revision Received:
November 5, 2014
Online:
December 10, 2014
Citation
Omidi, E., and Nima Mahmoodi, S. (May 1, 2015). "Multimode Modified Positive Position Feedback to Control a Collocated Structure." ASME. J. Dyn. Sys., Meas., Control. May 2015; 137(5): 051003. https://doi.org/10.1115/1.4029030
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