Optimization of low-thrust reconfiguration maneuvers for spacecraft flying in formation

Journal of Guidance, Control, and Dynamics

Volumn 32, Issue 5, 2009, Pages 1629-1638

  Massari, Mauro ^a,b   Bernelli Zazzera, Franco ^a,b  

^a POLITECNICO DI MILANO   (Italy)

^b Dipartimento di Ingegneria Aerospaziale   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR PROGRAMMING; OPTIMAL CONTROL SYSTEMS;

DIFFERENTIAL CONSTRAINTS; INTERIOR-POINT METHOD; LOW-THRUST RECONFIGURATIONS; MINIMUM DISTANCE; MULTIPLE SHOOTING; NONLINEAR PROGRAMMING PROBLEM; OBJECTIVE FUNCTIONS; OPTIMAL CONTROL PROBLEM;

CONSTRAINT SATISFACTION PROBLEMS;

EID: 72149115405     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.37335     Document Type: Article

References (23)

1. Vaddi, S., Alfriend, K., Vadali, S., and Sengupta, P., "Formation Establishment and Reconfiguration Using Impulsive Control," Journal of Guidance, Control, and Dynamics, Vol. 28, No. 2, 2005, pp. 262-268. doi:10.2514/1.6687
2. Mailhe, L., and Guzman, J., "Initialization and Resizing of Formation Flying Using Global and Local Optimization Methods," 2004 Aerospace Conference Proceedings, Vol. 1, Inst. of Electrical and Electronics Engineers, New York, 2004, pp. 556-572.
3. Milam, M., Petit, N., and Murray, R., "Constrained Trajectory Generation for Microsatellite Formation Flying," AIAA Paper 2001-4030, 2001.
4. Guibout, V., and Scheeres, D., "Solving Relative Two Point Boundary Value Problems: Applications to Spacecraft Formation Flight Transfers," Journal of Guidance, Control, and Dynamics, Vol. 27, No. 4, 2004, pp. 693-704. doi:10.2514/1.11164
5. Sultan, C., Seereeram, S., and Mehra, R., "Energy Optimal Multi- Spacecraft Relative Reconfiguration of Deep Space Formation Flying," 43rd IEEE Conference on Decision and Control, Vol. 1, Inst. of Electrical and Electronics Engineers, New York, 2004, pp. 284-289.
6. Betts, J., "Survey of Numerical Methods for Trajectory Optimization," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 2, March- April 1998, pp. 193-207. doi:10.2514/2.4231
7. Bock, H., and Plitt, K., "A Multiple Shooting Algorithm for Direct Solution of Optimal Control Processes," Proceedings of the 9th IFAC World Congress, Vol. 222, Pergamon, Oxford/New York, 1984, pp. 243-247.
8. Herman, A., and Conway, B., "Direct Optimization Using Collocation Based on High-Order Gauss-Lobatto Quadrature Rules," Journal of Guidance, Control, and Dynamics, Vol. 19, No. 3, 1996, pp. 592-599. doi:10.2514/3.21662
9. Fahroo, F., and Ross, I., "Direct Trajectory Optimization by Chebyshev Pseudospectral Method," Journal of Guidance, Control, and Dynamics, Vol. 25, No. 1, Jan.-Feb. 2002, pp. 160-166. doi:10.2514/2.4862
10. Seywald, H., "Trajectory Optimization Based on Differential Inclusion," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 3, May-June 1994, pp. 480-487. doi:10.2514/3.21224
11. Betts, J., and Huffman, W., "Path-Constrained Trajectory Optimization Using Sparse Sequential Quadratic Programming," Journal of Guidance, Control, and Dynamics, Vol. 16, No. 1, Jan.-Feb. 1993 pp. 59-68. doi:10.2514/3.11428
12. Forsgren, A., Gill, P., and Wright, M., "Interior Methods for Nonlinear Optimization," SIAM Review, Vol. 44, No. 4, 2002, pp. 525-597. doi:10.1137/S0036144502414942
13. Forsgren, A., and Gill, P., "Primal-Dual Interior Methods for Nonconvex Nonlinear Programming," SIAM Journal on Optimization, Vol. 8, 1998, pp. 1132-1152. doi:10.1137/S1052623496305560
14. Laurent-Varin, J., Bonnans, J., Berend, N., Haddou, M., and Talbot, C., "Interior-Point Approach to Trajectory Optimization," Journal of Guidance, Control, and Dynamics, Vol. 30, No. 5, 2007, pp. 1228-1238. doi:10.2514/1.18196 (Pubitemid 47607259)
15. Clohessy, W., and Wiltshire, R., "Terminal Guidance for Satellite Rendezvous," Journal ofthe Aerospace Sciences, Vol. 27, No. 9, 1960, pp. 653-658.
16. Inalhan, G., Tilerson, M., and How, J. , "Relative Dynamics and Control of Spacecraft Formations in Eccentric Orbits," Journal of Guidance, Control, and Dynamics, Vol. 25, No. 1, Jan.-Feb. 2002, pp. 48-59. doi:10.2514/2.4874
17. Bryson, A., and Ho, Y., Applied Optimal Control, Wiley, New York, 1975.
18. Betts, J., Practical Methods for Optimal Control Using Nonlinear Programming, Advances in Design and Control, Society for Industrial and Applied Mathematics, Philadelphia, May 2001.
19. Herman, A., and Spencer, D., "Optimal, Low-Thrust Earth-Orbit Transfers Using Higher-Order Collocation Methods," Journal of Guidance, Control, and Dynamics, Vol. 25, No. 1, Jan.-Feb. 2002, pp. 40-47. doi:10.2514/2.4873
20. Battin, R., An Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, AIAA, New York, 1987.
21. Gill, P., Murray, W., and Wright, M., Practical Optimization, Academic Press, New York/London/Orlando, FL, 1981.
22. Steinbach, M., "A Structured Interior Point SQP Method for Nonlinear Optimal Control Problems," Computational Optimal Control, edited by R. Bulirsch, and D. Kraft, Birkhäuser, Basel, 1994, pp. 213-222.
23. Chamberlain, R., Powell, M., Lemarechal, C., and Pedersen, H., "The Watchdog Technique for Forcing Convergence in Algorithms for Constrained Optimization," Mathematical Programming, Vol. 16, 1982, pp. 1-17. doi:10.1007/BFb0120944