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Boundary Control and Boundary Variations pp 18–37Cite as

Stability enhancement of flexible structures by nonlinear boundary-feedback control

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 100))

Abstract

We establish strong stability for a class of nonlinear boundary feedback controllers using an abstract wave-equation formulation of a beam stabilization problem arising in the control of flexible structures in space.

Research supported in part under AFOSR grant #83-0318, Applied Math Division.

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References

  1. SCOLE Workshop Proceedings, 1984. Compiled by L.W. Taylor. NASA Langley FRC, Hampton, Virginia.

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  2. A.V. Balakrishnan: On a Large Space Structure Control Problem, Proceedings of the IFIP Working Conference on Control of Systems Governed by Partial Differential Equations, Gaineville, Florida, 1986. (To be published.)

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  3. A.V. Balakrishnan: A Mathematical Formulation of the SCOLE Control Problem, Part 1, NASA CR-172581.

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  4. I. Lasiecka and R. Triggiani: A Cosine Operator Approach to Modelling L2 (O, T; L2(Γ)) Boundary Input Hyperbolic Equations, Applied Math and Optimization, Vol. 7, No. 1 (1981), pp. 35–93.

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  5. C.D. Benchimol: Feedback Stabilization in Hilbert Spaces, Applied Math and Optimization, Vol. 4, No. 3 (1978), pp. 225–248.

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  6. N. Levan: Stability Enhancement by State Feedback, in Proceedings of the IFIP Working Conference on Control of Systems Governed by Partial Differential Equations, Gainesville, florida, February 1986.

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  7. A.V. Balakrishnan: Applied Functional Analysis, 2nd edition. Springer-Verlag, 1981.

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Authors and Affiliations

  1. Laboratory for Flight Systems Research, 6750 Boelter Hall, 90024, Los Angeles, California

    A. V. Balakrishnan

Authors
  1. A. V. Balakrishnan
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Editor information

J. P. Zolésio

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© 1988 Springer-Verlag

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Balakrishnan, A.V. (1988). Stability enhancement of flexible structures by nonlinear boundary-feedback control. In: Zolésio, J.P. (eds) Boundary Control and Boundary Variations. Lecture Notes in Control and Information Sciences, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041908

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  • DOI: https://doi.org/10.1007/BFb0041908

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18546-8

  • Online ISBN: 978-3-540-48015-0

  • eBook Packages: Springer Book Archive

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