Trajectory Optimization and Optimal Explicit Guidance Algorithm Design for a Satellite Launch Vehicle

위성발사체의 궤적최적화와 최적 유도 알고리듬 설계

  • Roh, Woong-Rae (Korea Aerospace Research Institute) ;
  • Kim, Yodan (Dept.of Mechanical Aerospace Engineering, Seoul National University) ;
  • Song, Taek-Lyul (Dept. of Control and Instrumentation Engineering, Hanyang University)
  • 노웅래 (한국항공우주연구소) ;
  • 김유단 (서울대학교 기계항공공학부) ;
  • 송택렬 (한양대학교 제어계측공학과)
  • Published : 2001.02.01

Abstract

Ascent trajectory optimization and optimal explicit guidance problems for a satellite launch vehicle in a 2-dimensional pitch plane are studied. The trajectory optimization problem with boundary conditions is formulated as a nonlinear programming problem by parameterizing the pitch attitude control variable, and is solved by using the SQP algorithm. The flight constraints such as gravity-turn are imposed. An optimal explicit guidance algorithm in the exoatmospheric phase is also presented, the guidance algorithm provides steering command and time-to-go value directly using the current states of the vehicle and the desired orbit insertion conditions. To verify the optimality and accuracy of the algorithm simulations are performed.

Keywords

References

  1. 노웅래, 김유단, '다단발사체의 유도제어 시스템,' 제어,자동화,시스템공학회지, 제5권, 제6호, pp. 10-19, 11. 1999
  2. R. G. Brusch, 'Trajectory optimization for the Atlas/Centaur launch vehicle,' Journal of Spacecraft and Rockets, vol. 14, no. 9, pp. 550-555, Sept., 1977
  3. 노웅래, 김유단, 이상률, 김학정, '비선형 프로그래밍을 이용한 다목적실용위성 발사체의 궤적최적화,' 한국항공우주학회지, 제28권, 제1호, pp. 106-114, 2. 2000
  4. R. G. Brush, 'Bilinear Tangent Yaw Guidance,' AIAA Guidance and Control Conference, pp. 250-264, Aug., 1979
  5. K. Schittowoski, 'NLPQL: A FORTRAN subroutine solving constrained nonlinear programming problems,' (edited by Clyde L. Monma), Annals of Operations Research, vol. 5, pp. 485-500, 1985-1986 https://doi.org/10.1007/BF02022087
  6. A. E. Bryson, Jr., and Y. C. Ho, Applied Optimal Control, Hemisphere Publishing, Washington, 1975
  7. D. C. Chandler and I. E. Smith, 'Development of the iterative guidance mode with its application to various vehicles and missions,' Journal of Spacecraft and Rockets, vol. 4, no. 7, pp. 898-903 July, 1967
  8. D. T. Martin, R. F. Sievers, R. M. O'Brien, and A. F. Rice, 'Saturn V guidance, navigation and targeting,' Journal of Spacecraft and Rockets, vol. 4, no. 7, pp. 891-898, July, 1967
  9. R. L. McHenry, T. j. Brand, A. D. Long, B. F. Cockrell, and J. R. Thibodeau, 'Space shuttle ascent guidance, navigation, and control,' The Journal of the Astronautical Sciences, vol. 27, no. 1, pp. 1-38, 1979
  10. S. J. Isakowitz, International Reference Guide to Space Launch Systems, 2nd ed., AIAA Washington, DC, 1992
  11. C. D. Brown, Spacecraft Mission Design, AIAA, Washington, DC, 1992
  12. G. P. Sutton, Rocket Propulsion Elements, 6th ed., John Wiley & Sons Inc., New York, 1992