Skip to main content

Part of the book series: Control Engineering ((CONTRENGIN))

  • 509 Accesses

Abstract

In the previous chapters, controllers were designed for mechanical systems that are modeled by nonlinear ODEs. For the remainder of this book, we will focus our attention on the development of control algorithms for mechanical systems that are assumed to be modeled by PDEs.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. F. Baicu, C. D. Rahn, and B. D. Nibali, Active Boundary Control of Elastic Cables: Theory and Experiment, Journal of Sound and Vibration, Vol. 198, No. 1, pp. 17–26, 1996.

    Article  Google Scholar 

  2. C. F. Baicu, C. D. Rahn, and D. M. Dawson, Backstepping Boundary Control of a Flexible-Link Electrically Driven Gantry Robots, IEEE Transactions on Mechatronics, Vol. 3, No. 1, pp. 60–66, Mar. 1998.

    Article  Google Scholar 

  3. H. Canbolat, D. Dawson, C. Rahn, and S. Nagarkatti, Adaptive Control of Out-of-Plane Cable Vibration, ASME Journal of Applied Mechanics, Vol. 65, pp. 963–969, Dec. 1998.

    Article  MathSciNet  Google Scholar 

  4. I. Fried, Large Deformation Static and Dynamic Finite Element Analysis of Extensible Cables, Computers and Structures, Vol. 15, pp. 315–319, 1982.

    Article  MathSciNet  MATH  Google Scholar 

  5. Y. Fujino, P. Warnitchai, and B. Paeheco, Active Stiffness Control of Cable Vibration, Journal of Applied Mechanics, Vol. 60, pp. 948–953, Dec. 1993.

    Article  Google Scholar 

  6. Y. Fujino and T. Susumpow, Active Control of Multimodal Cable Vibrations by Axial Support Motion, Smart Materials and Structures, Vol. 4, pp. A41–51, 1995.

    Article  Google Scholar 

  7. H. Irvine, Cable Structure, Cambridge, MA: MIT Press, 1981.

    Google Scholar 

  8. J. U. Kim and Y. Renardy, Boundary Control of the Timoshenko Beam, SIAM Journal of Control and Optimization, Vol. 25, No. 6, Nov. 1987.

    Google Scholar 

  9. M. Krstić, I. Kanellakopoulos, and P. Kokotović, Nonlinear and Adaptive Control Design, New York, NY: Wiley Interscience, 1995.

    Google Scholar 

  10. O. Morgiil, Control and Stabilization of a Flexible Beam Attached to a Rigid Body, International Journal of Control, Vol. 51, No. 1, pp. 11–31, Jan. 1990.

    Article  MathSciNet  Google Scholar 

  11. O. Morgül, B. Rao, and F. Conrad, On the Stabilization of a Cable with a Tip Mass, IEEE Transactions on Automatic Control, Vol. 39, No. 10, pp. 2140–2145, Oct. 1994.

    Article  MATH  Google Scholar 

  12. D. Oplinger, Frequency Response of a Nonlinear Stretched String, Journal of the Acoustical Society of America, Vol. 32, No. 12, pp. 1529–1538, Dec. 1960.

    Article  MathSciNet  Google Scholar 

  13. N. Perkins and C. Mote, Three-dimensional Vibration of Travelling Elastic Cables, Journal of Sound and Vibration, Vol. 114, No. 2, pp. 325–340, 1987.

    Article  Google Scholar 

  14. http://www.quanser.com.

  15. S. M. Shahruz and L. G. Krishna, Boundary Control of a Nonlinear String, Proceedings of the ASME Dynamics Systems and Control Division, DSC-Vol. 58, pp.831–835, 1996.

    Google Scholar 

  16. A. Soler, Dynamic Response of Single Cable with Initial Sag, Journal of the Franklin Institute, Vol. 190, pp. 377–387, 1970.

    Article  Google Scholar 

  17. H. West, L. Geschwinder, and J. Suchoski, Natural Vibrations of Suspension Cables, ASCE Journal of the Structural Division, Vol. 101, pp. 2277–2291, 1975.

    Google Scholar 

  18. F. Zhang, D. M. Dawson, S. P. Nagarkatti, and D. V. Haste, Boundary Control for a General Class of Nonlinear Actuator-String Systems, Proceedings of the IEEE Conference on Decision and Control, pp. 3484–3489, Tampa, FL, Dec. 1998.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media New York

About this chapter

Cite this chapter

de Queiroz, M.S., Dawson, D.M., Nagarkatti, S.P., Zhang, F. (2000). Strings and Cables. In: Lyapunov-Based Control of Mechanical Systems. Control Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1352-9_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-1352-9_5

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7108-6

  • Online ISBN: 978-1-4612-1352-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics