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Optimal Flight Planning for a Jet Aircraft

  • Harris McClamrochEmail author
  • Taeyoung Lee
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 212)

Abstract

This chapter formulates a flight optimization problem to characterize the optimal flight of a jet aircraft subject to mission constraints and constraints that arise from the basic physics of flight of the aircraft. A hierarchical optimization approach is suggested: a flight plan is first developed, specified by way points and segments of helical paths between these waypoints, that meet the mission constraints; then an optimal steady flight problem is formulated and solved for each of the helical flight path segments. The required background in flight physics is summarized and optimal flight conditions for several categories of steady flight are described. Finally, a specific fuel optimal flight optimization problem for an example of a jet aircraft is introduced as a case study. The hierarchical optimization approach is followed and a fuel optimal flight plan is obtained and its flight performance is analyzed.

Keywords

Lift Coefficient Flight Path Flight Condition Bank Angle Flight Path Angle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Supplementary material

273578_1_En_15_MOESM1_ESM.pdf (395 kb)
(pdf 395 KB)

References

  1. 1.
    Anderson, J. D. (2000). Introduction to flight (4th edn.) Boston: McGraw-Hill.Google Scholar
  2. 2.
    Betts, J. (2001). Practical methods for optimal control using nonlinear programming, advances in design and control. Philadelphia: SIAM.Google Scholar
  3. 3.
    Bryson, A., & Ho, Y. C. (1975). Applied optimal control. Washington, DC: Hemisphere.Google Scholar
  4. 4.
  5. 5.
    MATLAB optimization toolbox. Mathworks. http://www.mathworks.com/help/optim/.
  6. 6.
    McClamroch, N. H. (2011). Steady aircraft flight and performance. Princeton: Princeton University Press.Google Scholar
  7. 7.
    Ross, I. M., & D’Souza, C. N. (2005). A hybrid optimal control framework for mission planning. Journal of Guidance, Control and Dynamics, 28(4), 686–697.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.University of MichiganAnn ArborUSA
  2. 2.George Washington UniversityWashington, DCUSA

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