Parametric control of flexible systems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

One position sensor, a bilinear observer, and quadratic, observer-based feedback to a parametric actuator asymptotically stabilize n modes of a flexible system. Using a perturbation approach, the transient and forced response of a controlled mode are approximated. The decay rate and resonance amplitude are related to the control gains, initial conditions, and forcing amplitude. A forced spillover instability is discovered that can destabilize uncontrolled modes with insufficient damping. A control bound is determined, based on the damping coefficients and frequencies of the controlled modes, that prevents this instability. Experiments on a tension-controlled, pinned-pinned beam demonstrate that parametric control provides substantially faster transient decay and constrained response at resonance.

Original languageEnglish (US)
Title of host publicationActive Control of Noise and Vibration - 1992
PublisherPubl by ASME
Pages131-138
Number of pages8
ISBN (Print)0791810933
StatePublished - Dec 1 1992
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA
Duration: Nov 8 1992Nov 13 1992

Publication series

NameAmerican Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC
Volume38

Other

OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAnaheim, CA, USA
Period11/8/9211/13/92

Fingerprint

Damping
Gain control
Actuators
Feedback
Sensors
Experiments

All Science Journal Classification (ASJC) codes

  • Software
  • Mechanical Engineering

Cite this

Rahn, C. D., & Mote, C. D. (1992). Parametric control of flexible systems. In Active Control of Noise and Vibration - 1992 (pp. 131-138). (American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC; Vol. 38). Publ by ASME.
Rahn, Christopher D. ; Mote, C. D. / Parametric control of flexible systems. Active Control of Noise and Vibration - 1992. Publ by ASME, 1992. pp. 131-138 (American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC).
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Rahn, CD & Mote, CD 1992, Parametric control of flexible systems. in Active Control of Noise and Vibration - 1992. American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC, vol. 38, Publ by ASME, pp. 131-138, Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, CA, USA, 11/8/92.

Parametric control of flexible systems. / Rahn, Christopher D.; Mote, C. D.

Active Control of Noise and Vibration - 1992. Publ by ASME, 1992. p. 131-138 (American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC; Vol. 38).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Rahn CD, Mote CD. Parametric control of flexible systems. In Active Control of Noise and Vibration - 1992. Publ by ASME. 1992. p. 131-138. (American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC).