Re-Entry Trajectory Tracking Via an Inverse Dynamics Method

  • Lee, Dae-Woo (Department of Aerospace Engineering Pusan National University, Research Institute of Mechanical Technology) ;
  • Cho, Kyeum-Rae (Department of Aerospace Engineering Pusan National University, Research Institute of Mechanical Technology) ;
  • Hui Yan (Department of Mathematics, Texas A&M)
  • Published : 2004.09.01

Abstract

Atmospheric Re-Entry guidance is divided as longitudinal and lateral. This paper proposes a longitudinal reference trajectory and control law using the inverse dynamics method with pseudospectral Legendre method. Application of this method into Re-Entry problem forces a power of calculation time-reduction due to unnecessary of integration or any iteration as well as sufficient accuracy convergence. The used guidance scheme is time-to-go.

Keywords

References

  1. Alberto Cavallo, 1996, 'Atmosphere Re-entry Control for Low Lift/Drag Vehicle,' Journal of Guidance, Control, and Dynamics, Vol. 19, No. 1, pp.47-53
  2. Axel J. Roenneke, 1993, 'Trajectory Control for a Low-Lift Re-Entry Vehicle,' Journal of Guidance, Control, and Dynamics, Vol. 16, No.5, pp.927-933
  3. 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
  4. Bryson, A. E., 1975, Applied Optimal Control, Hemisphere Publishing Corporation
  5. Canuto, C., Hussaini, M. Y., Quarteroni, A. and Zang, T. A., 1988, Spectral Methods in Fluid Dyanmics, Springer, New York
  6. Elnagar. J., Kazemi, M. A. and Razzaghi, M., 1995, 'The Pseudospectral Legendre Method for Discretizing Optimal Control Problem,' IEEE Transcations on Automatic Control, Vol. 40, No. 10, pp. 1793-1796 https://doi.org/10.1109/9.467672
  7. Frank J. Regan and Satya M. Anandakrishnan, 1993, Dynamics of Atmospheric Re-entry, AIAA
  8. Frank P. Incropera and David P. DeWitt, 1985, Introduction to Heat Transfer, John Wiley & Sons
  9. Gamal N. Elnagar and Mohsen Razzaghi, 1997, 'A Collocation-Type Method for Linear Quadratic Optimal Control Problem,' Optimal Control Application & Methods, Vol. 18, pp. 227-235 https://doi.org/10.1002/(SICI)1099-1514(199705/06)18:3<227::AID-OCA598>3.0.CO;2-A
  10. 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
  11. Harpold, J. C. and Graves, C. A., Jr., 1979, 'Shuttle Entry Guidance,' Journal of Astronautical Sciences, Vol. 26, No.3, pp.239-268
  12. Jinhee Lee, 2003, '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
  13. Jinhee Lee, 2003, 'In-Plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudo spectral Method,' KSME International Journal in Korea, Vol. 17, No.8, pp. 1156-1163
  14. Jong-Phil Kim, and Jeha Ryu, 2002, 'Inverse Kinematic and Dynamic Analyses of 6-DOF PUS Type Parallel Manipulators,' KSME International Journal in Korea, Vol. 16, No. 1, pp.13-23
  15. Lee, D. W. and Cho, K. R., 2002, 'Reference Trajectory Analysis and Trajectory Control by Bank Angle for Re-Entry Vehicle,' KSME International Journal in Korea, Vol. 16, No.6, pp.745-756
  16. 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
  17. Regan, F. J., 1993, Dynamic of Atmospheric Re-entry, AIAA Education Series
  18. Sim, W. G. and Kim, J. M., 1996, 'Application of Spectral Collocation Method to Conduction and Laminar Forced Heat Convection in Eccentric Annuli,' KSME International Journal, Vol. 10, No. 1, pp. 04-104