Skip to main content
Log in

Optimization analysis of trajectory for re-entry vehicle using global orthogonal polynomial

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

We present a procedure for the application of global orthogonal polynomial into an atmospheric re-entry maneuvering problem. This trajectory optimization is imbedded in a family of canonically parameterized optimal control problem. The optimal control problem is transcribed to nonlinear programming via global orthogonal polynomial and is solved a sparse nonlinear optimization algorithm. We analyze the optimal trajectories with respect to the performance of re-entry maneuver.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • B. P. and Sng, K. B., 1980, “Numerical Solution of the Constrained Re-Entry Vehicle Trajectory Problem via Quasilinearization,”Journal of Guidance, Control, and Dynamics, Vol. 3, No. 5, pp. 392–397.

    Article  Google Scholar 

  • Baker, C. D., Causey, W. E. and Ingram, H. L., 1971, “Mathematical Concepts and Historical Development of the MOSCOT Guidance Technique for Space Vehicle,”NASA Technical Memorandum, NASA TM-44408.

  • Betts, J. T., 2001,Practical Methods for Optimal Control Using Nonlinear Programming, SIAM: Advances in Control and Design Series, Philadelphia, PA.

    MATH  Google Scholar 

  • Betts, J. T., 1998, “Survey of Numerical Methods for Trajectory Optimization,”Journal of Guidance, Control and Dynamics, Vol. 21, No. 2, pp. 193–207.

    MATH  Google Scholar 

  • Bryson, A. E. and Ho, Y. C., 1975,Applied Optimal Control, Hemisphere Publishing Corporation, WA.

    Google Scholar 

  • Bryson, A. E., 1999,Dynamic Optimization, Addition Wesley, Longman, Menlo Park, CA.

    Google Scholar 

  • Calise, A. J. and Leung, S. K., 1994, “Hybrid Approach the Solution of Optimal Control Problem,”Journal of Guidance, Control, and Dynamics, Vol. 17, No. 75, pp. 966–974.

    Article  Google Scholar 

  • Elnagar, G. N. and Razzaghi, M., 1997, “A Collocation-Type Method For Linear Quadratic Optimal Control Problem,”Optimal Control Application and Methods, Vol. 18, pp. 227–235.

    Article  MATH  MathSciNet  Google Scholar 

  • Fahroo, F. and Ross, I. M., 1998, “Costate Estimation by a Legendre Pseudospectral Method,”Journal of Guidance, Control, and Dynamics, Vol. 24, No. 2, pp. 270–277.

    Google Scholar 

  • Han, B. K., Chung, K. and Han, D. S., 1989, “Vibration Analysis on Plates By Orthogonal Polynomial,”KSME International Journal, Vol. 3, No. 2, pp. 95–102.

    Google Scholar 

  • Hull, D. G., 1997, “Conversion of Optimal Control Problem into Parameter Optimization Problems,”Journal of Guidance, Control, and Dynamics, Vol. 20, No. 1, pp. 57–60.

    MATH  Google Scholar 

  • Jinhee, Lee, 2003a, “In-Plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudospectral Method,”KSME International Journal in Korea, Vol. 17, No. 8, pp. 1156–1163.

    Google Scholar 

  • Jinhee, Lee, 2003b, “Application of the Chebyshev-Fourier Pseudospectral Method to the Eigenvalue Analysis of Circular Mindlin Plates with Free Boundary Conditions,”KSME International Journal in Korea, Vol. 17, No. 10, pp. 1458–1465.

    Google Scholar 

  • Lee, D. W. and Cho, K. R., 2000, “Flight Range Control of Atmosphere Re-Entry Vehicle Using the Reference Trajectory Correction,”Journal of The Korean Society for Aeronautical and Space Sciences, Vol. 28, No. 6, pp. 77–85.

    MathSciNet  Google Scholar 

  • Lee, D. W. and Cho, K. R., 2002, “Reference Trajectory Analysis and Trajectory Control by the Bank Angle for Re-Entry Vehicle,”KSME International Journal, Vol. 16, No. 6, pp. 745–756.

    Google Scholar 

  • Lee, D. W. and Cho, K. R., 2004, “Re-Entry Trajectory Tracking Via an Inverse Dynamics Methods,”KSME International Journal, Vol. 18, No. 9, pp. 1519–1528.

    Google Scholar 

  • Lu, P., 1997, “Entry Guidance and Trajectory Control for Reusable Launch Vehicle,”Journal of Guidance, Control, and Dynamics, Vol. 20, No. 1, pp. 143–149.

    Article  MATH  Google Scholar 

  • Regan, F. J., 1993,Dynamics of Atmospheric Re-Entry, AIAA Education Series.

  • Vinh, N. X., Busemann, A. and Culp, R. D. 1980,Hypersonic and Planetary Entry Flight Mechanics, Univ. of Michigan Press, Ann Arbor, MI.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daewoo Lee.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, D. Optimization analysis of trajectory for re-entry vehicle using global orthogonal polynomial. J Mech Sci Technol 20, 1557–1566 (2006). https://doi.org/10.1007/BF02916260

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02916260

Key Words:

Navigation