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.
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.
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.
Betts, J. T., 1998, “Survey of Numerical Methods for Trajectory Optimization,”Journal of Guidance, Control and Dynamics, Vol. 21, No. 2, pp. 193–207.
Bryson, A. E. and Ho, Y. C., 1975,Applied Optimal Control, Hemisphere Publishing Corporation, WA.
Bryson, A. E., 1999,Dynamic Optimization, Addition Wesley, Longman, Menlo Park, CA.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Author information
Authors and Affiliations
Corresponding author
Rights 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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02916260