Skip to main content

Near-Optimal Flight Trajectories Generated by Neural Networks

  • Chapter
Computational Optimal Control

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 115))

Abstract

A particular rendezvous mission is modeled, which is difficult to perform in practice by pilots. It serves as a demonstration of using neural networks to generate control laws. The problem emphasizes the need for a control law since it is non-linear and has a sensitive element included. A particular formulation of the optimal criteria is made. The optimization method used must be efficient and cheap to use as a large set of optimal solutions is needed as learning material for the neural networks. The worst problem with neural network is to show it all information needed for control within the whole state space. The application in this paper shows some of the difficulties found during our experimental sessions.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. Shinar, J., Well, K. and Järmark, B.: Near-Optimal Feedback Control for Three-Dimensional Interceptions, ICAS paper No 86-5.1.3. Presented in London, September 7–12, 1986.

    Google Scholar 

  2. Järmark, Bernt: On Closed-Loop Controls in Pursuit-Evasion, Journal of Computers and Mathematics with Applications, (Edits. Y. Yavin and M. Pachter). Vol. 13, 1987.

    Google Scholar 

  3. Järmark, Bernt: Various Optimal Climb Profiles, AIAA paper No. 91-2859-CP, AFM Conference, New Orleans, Louisiana, August 12-14, 1991, pp. 124-130.

    Google Scholar 

  4. McKelvey, Tomas: Neural Networks Applied to Optimal Flight Control, IFAC-IFIP-IMACS Int. Symp. on AI in real control, Delft, Netherlands June 1992.

    Google Scholar 

  5. Bengtsson, Henrick: Neurala Nätverk tillämpade pårendezvousproblemet, Master Thesis, LiTHISY-EX-1198, Department of Electrical Engineering, Division of Automatic Control Linköping, June 1992, (in Swedish).

    Google Scholar 

  6. Kohonen, Teuvo: Self-Organization and Associative Memory, Springer Verlag, 1989.

    Google Scholar 

  7. Lippmann, P. Richard: An Introduction to Computing with Neural Nets, IEEE, ASSP Magazine, April 1987.

    Google Scholar 

  8. NeuralWare Inc.: Neural Computing, manual to program package NeuralWorks Professional II/PLUS, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Birkhäuser Verlag Basel

About this chapter

Cite this chapter

Järmark, B., Bengtsson, H. (1994). Near-Optimal Flight Trajectories Generated by Neural Networks. In: Bulirsch, R., Kraft, D. (eds) Computational Optimal Control. ISNM International Series of Numerical Mathematics, vol 115. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8497-6_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8497-6_25

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-7643-5015-4

  • Online ISBN: 978-3-0348-8497-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics