Parametric control of conservative mechanical systems

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

1 Citation (Scopus)

Abstract

Parametric excitation is used to control the vibration of a conservative mechanical system. The excitation is varied according to a quadratic, state feedback, control law. If the system has distinct eigenvalues and a full rank, diagonalizable, parametric control matrix, then the control law is asymptotically stabilizing. To eliminate the required full state sensing, an observer is designed to estimate the states from the minimum number of linear measurements. There always exists an observer if the system is linearly observable and the control is bounded. An example demonstrates the method.

Original languageEnglish (US)
Title of host publicationActive Control of Noise and Vibration - 1992
PublisherPubl by ASME
Pages337-343
Number of pages7
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

State feedback
Feedback control

All Science Journal Classification (ASJC) codes

  • Software
  • Mechanical Engineering

Cite this

Rahn, C. D., & Mote, C. D. (1992). Parametric control of conservative mechanical systems. In Active Control of Noise and Vibration - 1992 (pp. 337-343). (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 conservative mechanical systems. Active Control of Noise and Vibration - 1992. Publ by ASME, 1992. pp. 337-343 (American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC).
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Rahn, CD & Mote, CD 1992, Parametric control of conservative mechanical 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. 337-343, Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, CA, USA, 11/8/92.

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

Active Control of Noise and Vibration - 1992. Publ by ASME, 1992. p. 337-343 (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 conservative mechanical systems. In Active Control of Noise and Vibration - 1992. Publ by ASME. 1992. p. 337-343. (American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC).