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Observer design for nonlinear oscillatory systems

  • Part I Nonlinear Observer Design
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New Directions in nonlinear observer design

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 244))

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References

  1. R. Evan-Iwanowski Resonance Oscillations in Mechanical Systems, Elsevier, New York, 1976.

    MATH  Google Scholar 

  2. P. Hartman. Ordinary Differential Equations, Birkhauser Verlag, Boston, 1982.

    MATH  Google Scholar 

  3. A. Khajepour, F. Golnaraghi and K. A. Morris. “Modal Coupling Controller Design Using a Normal Form Method, Part 1 & 2,” Journal of Sound and Vibration, vol. 205, pp. 657–688, 1997.

    Article  Google Scholar 

  4. D. Kristiansen and O. Egeland. “Nonlinear Oscillations in Coriolis Based Gyroscopes,” Accepted for publication in Nonlinear Dynamics.

    Google Scholar 

  5. W. Lohmiller and J. J.-E. Slotine “On Metric Observers for Nonlinear Systems,” Proceedings IEEE International Conference on Control Applications, Dearborn, MI, pp. 320–326, 1996.

    Google Scholar 

  6. W. Lohmiller and J.-J.E. Slotine, “On Metric Controllers and Observers for Nonlinear Systems,” Proceedings 35th IEEE Conference on Decision and Control, Kobe, Japan, pp. 1477–1482, 1996.

    Google Scholar 

  7. W. Lohmiller and J.-J.E. Slotine. “Applications of Contraction Analysis,” Proceedings 36th IEEE Conference on Decision and Control, San Diego, CA, pp. 1044–1050, 1997.

    Google Scholar 

  8. W. Lohmiller and J.-J.E. Slotine, “Applications of Contraction Analysis,” Proceedings IEEE International Conference on Control Applications, Hartford, CT, pp. 699–704, 1997.

    Google Scholar 

  9. W. Lohmiller and J.-J.E. Slotine. “Simple Observers for Hamiltonian Systems,” American Control Conference, Albuquerque, NM, 1997.

    Google Scholar 

  10. W. Lohmiller and J.-J.E. Slotine. “On Contraction Analysis for Nonlinear Systems,” Automatica, vol. 34, pp. 683–696, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  11. D. Lovelock and H. Rund. Tensors, Differential Forms, and Variational Principles, Dover Publications, New York, 1989.

    Google Scholar 

  12. A. H. Nayfeh and D. T. Mook. Nonlinear Oscillations, Wiley, New York, 1979.

    MATH  Google Scholar 

  13. S. S. Oueini, A. H. Nayfeh and J. R. Pratt “A Nonlinear Vibration Absorber for Flexible Structures,” Nonlinear Dynamics, vol. 15, pp. 259–282, 1998.

    Article  MATH  Google Scholar 

  14. K. L. Tuer, M. F. Golnaraghi and D. Wang. “Towards a Generalized Regulation Scheme for Oscillatory Systems via Coupling Effects,” IEEE Transactions on Automatic Control, vol. 40, pp. 522–530, 1995.

    Article  MATH  MathSciNet  Google Scholar 

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H. Nijmeijer T.I. Fossen

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© 1999 Springer-Verlag London Limited

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Kristiansen, D., Egeland, O. (1999). Observer design for nonlinear oscillatory systems. In: Nijmeijer, H., Fossen, T. (eds) New Directions in nonlinear observer design. Lecture Notes in Control and Information Sciences, vol 244. Springer, London. https://doi.org/10.1007/BFb0109920

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  • DOI: https://doi.org/10.1007/BFb0109920

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-134-4

  • Online ISBN: 978-1-84628-536-3

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