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On control and stabilization of a rotating beam by applying moments at the base only

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Optimal Control of Partial Differential Equations

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 149))

Abstract

A decomposition-method introduced in [Le1] is used to decompose the rigid-body motion from the elastic vibration of a slowly rotating beam. On the base of the transformed system, a controller is constructed that steers all oscillations of the beam to rest in finite time. In addition, the beam is thereby driven to zero angular velocity. A second result is concerned with strong feed-back stabilizability.

This work has been supported by the Deutsche Forschungsgemeinschaft (DFG), Heisenbergreferat, Le 595-3-1

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Georgetown University, 20057, Washington, D.C.

    G. Leugering

Authors
  1. G. Leugering
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Editor information

Karl-Heinz Hoffmann Werner Krabs

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© 1991 International Federation for Information Processing

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Leugering, G. (1991). On control and stabilization of a rotating beam by applying moments at the base only. In: Hoffmann, KH., Krabs, W. (eds) Optimal Control of Partial Differential Equations. Lecture Notes in Control and Information Sciences, vol 149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043223

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  • DOI: https://doi.org/10.1007/BFb0043223

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53591-1

  • Online ISBN: 978-3-540-46883-7

  • eBook Packages: Springer Book Archive

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