0
Research Papers

Active Vibration Control With Modified Positive Position Feedback

[+] Author and Article Information
S. Nima Mahmoodi1

Department of Mechanical Engineering, Center for Vehicle Systems & Safety, Virginia Tech, MC-0901, Blacksburg, VA 24061mahmoodi@vt.edu

Mehdi Ahmadian

Department of Mechanical Engineering, Center for Vehicle Systems & Safety, Virginia Tech, MC-0901, Blacksburg, VA 24061ahmadian@vt.edu

1

Corresponding author.

J. Dyn. Sys., Meas., Control 131(4), 041002 (Apr 27, 2009) (8 pages) doi:10.1115/1.3089565 History: Received July 02, 2008; Revised December 22, 2008; Published April 27, 2009

A novel active vibration control technique based on positive position feedback method is developed. This method, which is a modified version of positive position feedback, employs a first-order compensator that provides damping control and a second-order compensator for vibration suppression. In contrast, conventional positive position feedback uses a single second-order compensator. The technique is useful for strain-based sensors and can be applied to piezoelectrically controlled systems. After introducing the concept of modified positive position feedback, this paper investigates the stability of the new method for locating gain limits. Stability conditions are global and independent of the dynamical characteristics of the open-loop system. Using root locus plots, proper compensator frequency is identified and damping of the closed-loop system is studied. The performance of the modified positive position feedback for both steady-state and transient dynamic control is studied. The experimental and numerical results show that the proposed method is significantly more effective in controlling steady-state response and slightly advantageous for transient dynamics control, as compared with conventional positive position feedback.

Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 7

Damping of the closed-loop system for equal gains: ωf=ωn=1 and η=0.02

Grahic Jump Location
Figure 9

Free vibration of cantilever with 25 mm initial displacement at the tip

Grahic Jump Location
Figure 12

PPF Closed-loop response to the periodic disturbances with g=0.6 and ζa=0.35

Grahic Jump Location
Figure 15

Bode plot of the open-loop (solid line) and closed-loop systems (MPPF, dashed line)

Grahic Jump Location
Figure 16

Bode plot of the open-loop (solid line) and PPF closed-loop (dashed line) with g=0.6 and ζa=0.35

Grahic Jump Location
Figure 1

Block diagram of modified positive position feedback

Grahic Jump Location
Figure 2

Nyquist diagram: (a) stable system, α+β<1, α<1, and β<1; (b) unstable system, α+β>1, α<1, and β<1

Grahic Jump Location
Figure 3

Root locus plot of MPPF for ωf<ωn

Grahic Jump Location
Figure 4

Root locus plot of MPPF for ωf=ωn

Grahic Jump Location
Figure 5

Root locus plot of MPPF for ωf>ωn

Grahic Jump Location
Figure 6

Damping of the closed-loop system for different gains: ωf=ωn=1 and η=0.02

Grahic Jump Location
Figure 8

Piezoelectrically controlled cantilever beam: (a) test setup; (b) position of actuators and sensors

Grahic Jump Location
Figure 10

MPPF closed-loop free vibration of cantilever with 25 mm initial displacement at the tip

Grahic Jump Location
Figure 11

PPF closed-loop free vibration of cantilever with 25 mm initial displacement at the tip

Grahic Jump Location
Figure 13

MPPF closed-loop response to the periodic disturbances

Grahic Jump Location
Figure 14

Control power of closed-loop responses to periodic disturbances: (a) MPPF controller of Fig. 1; (b) PPF controller of Fig. 1

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