Gauss's variational equation-based dynamics and control for formation flying spacecraft

Journal of Guidance, Control, and Dynamics

Volumn 30, Issue 2, 2007, Pages 437-448

  Breger, Louis ^a,b   How, Jonathan P ^a,b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b Department of Aeronautics and Astronautics ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLIGHT CONTROL SYSTEMS; FUELS; LINEARIZATION; MATHEMATICAL MODELS; MODEL PREDICTIVE CONTROL; OPTIMIZATION; SPACE APPLICATIONS;

MODEL PREDICTIVE CONTROLLER; SPACE MISSIONS; VARIATIONAL EQUATION-BASED DYNAMICS;

SPACECRAFT;

EID: 33947656479     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.22649     Document Type: Article

References (33)

1. Bauer, F. H., Hartman, K., Bristow, J., Weidow, D., How, J. P., and Busse, F., "Enabling Spacecraft Formation Flying Through Spaceborne GPS and Enhanced Autonomy Technologies," ION-GPS '99, Proceedings of the 12th International Technical Meeting of the Satellite Division of the Institute of Navigation, Institute of Navigation, Alexandria, VA, 1999, pp. 369-383; also Institute of Navigation Paper A01-27218 06-32.
2. Leitner, J., Bauer, F., Folta, D., Moreau, M., Carpenter, R., and How, J. P., "Distributed Spacecraft Systems Develop New GPS Capabilities," GPS World: Formation Flight in Space [online journal], 1 Feb. 2002, p. 1, http://www.gpsworld.com/gpsworld/article/articleDetail.jsp? id=9518 [retrieved 15 Dec. 2005].
3. Tillerson, M., Inalhan, G., and How, J. P., "Coordination and Control of Distributed Spacecraft Systems Using Convex Optimization Techniques," International Journal of Robust and Nonlinear Control, Vol. 12, Nos. 2-3, Feb.-Mar. 2002, pp. 207-242.
4. Alfriend, K. T., Schaub, H., and Gim, D.-W., "Formation Flying: Accommodating Non-linearity and Eccentricity Perturbations," 12th AAS/AIAA Space Flight Mechanics Meeting, American Astronautical Society Paper 02-184, Jan. 2002, pp. 1-20.
5. Curtis, S., "The Magnetospheric Multiscale Mission Resolving Fundamental Processes in Space Plasmas," NASA TM2000-209883, Dec. 1999.
6. Breger, L. S., Model Predictive Control for Formation Flying Spacecraft, S.M. Thesis, Dept. Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA, June 2004.
7. 2 Invariant Relative Orbits for Spacecraft Formations," Flight Mechanics Symposium, NASA Paper 11, 2002.
8. Junkins, J., Akella, M., and Alfriend, K. T., "Non-Gaussian Error Propagation in Orbital Mechanics," Journal of the Astronautical Sciences, Vol. 44, No. 4, 1996, pp. 541-563.
9. Ilgen, M. R., "Low Thrust OTV Guidance using Lyapunov Optimal Feedback Control Techniques," American Astronautical Society/AIAA Astrodynamics Specialist Conference, American Astronautical Society Paper 93-680, Aug. 1993.
10. Naasz, B., "Classical Element Feedback Control for Spacecraft Orbital Maneuvers," S.M. Thesis, Dept. of Aerospace Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, May 2002.
11. Gurfil, P., "Control-Theoretic Analysis of Low-Thrust Orbital Transfer Using Orbital Elements," Journal of Guidance, Control, and Dynamics, Vol. 26, No. 6, Nov.-Dec. 2003, pp. 979-983.
12. Schaub, H., and Alfriend, K., "Impulsive Feedback Control to Establish Specific Mean Orbit Elements of Spacecraft Formations," Journal of Guidance, Control, and Dynamics, Vol. 24, No. 4, July-Aug. 2001, pp. 739-745.
13. 2 Perturbations," American Astronautical Society/AIAA Astrodynamics Specialist Conference, AIAA Paper 2002-4430, Aug. 2002.
14. Maciejowski, J. M., Predictive Control with Constraints, Prentice-Hall, Upper Saddle River, NJ, 2002.
15. Breger, L. S., and How, J. P., "GVE-Based Dynamics and Control for Formation Flying Spacecraft," 2nd International Formation Flying Symposium, Goddard Space Flight Center (NASA), Sept. 2004, pp. 1-12.
16. Tillerson, M., Breger, L. S., and How, J. P., "Distributed Coordination and Control of Formation Flying Spacecraft," Proceedings of American Control Conference, IEEE Publications, Piscataway, NJ, June 2003, pp. 1740-1745.
17. Gim, D. W., and Alfriend, K. T., "State Transition Matrix of Relative Motion for the Perturbed Noncircular Reference Orbit," Journal of Guidance, Control, and Dynamics, Vol. 26, No. 6, Nov.-Dec. 2003, pp. 956-971.
18. Battin, R. H., An Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, AIAA, New York, 1987.
19. Schaub, H., and Junkins, J. L., Analytical Mechanics of Space Systems, AIAA Education Series, AIAA, Reston, VA, 2003.
20. Das, A., and Cobb, R., "TechSat 21 - Space Missions Using Collaborating Constellations of Satellites," Proceedings of the AIAA/Utah State University Annual Conference on Small Satellites, Utah State University, Logan, UT, 1998, pp. 1-6; also Utah State University Paper A99-10826 01-20.
21. Kaplan, M., Modern Spacecraft Dynamics and Control, Wiley, New York, 1976.
22. Breger, L. S., Ferguson, P., How, J. P., Thomas, S., McLoughlin, T., and Campbell, M., "Distributed Control of Formation Flying Spacecraft Built on OA," AIAA Guidance, Navigation, and Control Conference and Exhibit, AIAA Paper 2003-5366, Aug. 2003.
23. Tillerson, M., and How, J., "Formation Flying Control in Eccentric Orbits," AIAA Guidance, Navigation, and Control Conference and Exhibit, AIAA Paper 2001-4092, 2001.
24. Franklin, G., Powell, J., and Workman, M., Digital Control of Dynamic Systems, 3rd ed., Addison Wesley Longman, Reading, MA, 1998.
25. Carpenter, J. R., and Alfriend, K. T., "Navigation Accuracy Guidelines for Orbital Formation Flying," AIAA Guidance, Navigation, and Control Conference and Exhibit, AIAA Paper 2003-5443, Aug 11-14, 2003.
26. Ren, W., and Beard, R., "Virtual Structure Based Spacecraft Formation Control with Formation Feedback," AIAA Guidance, Navigation, and Control Conference and Exhibit, AIAA Paper 2002-4963, Aug. 2002.
27. Busse, F., How, J. P., Simpson, J., and Leitner, J., "PROJECT ORION-EMERALD: Carrier Differential GPS Techniques and Simulation for Low Earth Orbit Formation Flying," IEEE Aerospace Conference, Vol. 2, IEEE Publications, Piscataway, NJ, Mar. 2001, pp. 523-534.
28. Carter, T. E., and Alvarez, S. A., "Quadratic-Based Computation of Four-Impulse Optimal Rendezvous near Circular Orbit," Journal of Guidance, Control, and Dynamics, Vol. 23, No. 1, Jan.-Feb. 2000, pp. 109-117.
29. Mailhe, L., Schiff, C., and Hughes, S., "Formation Flying in Highly Elliptical Orbits: Initializing the Formation," Proceedings of the International Symposium on Space Dynamics, Centre National d'Etudes Spatiales Paper MS00/21, June 2000.
30. Inalhan, G., Tillerson, M., and How, J. P., "Relative Dynamics & Control of Spacecraft Formations in Eccentric Orbits," Journal of Guidance, Control, and Dynamics, Vol. 25, No. 1, Jan.-Feb. 2002, pp. 48-59.
31. Vadali, S. R., Alfriend, K. T., and Vaddi, S., "Hills Equations, Mean Orbital Elements, and Formation Flying of Satellites," American Astronautical Society Paper 00-258, March 2000.
32. Bertsimas, D., and Tsitsiklas, J. N., Introduction to Linear Optimization, Athena Scientific, Belmont, MA, 1997.
33. "FreeFlyer User's Guide," Ver. 4.0, A. I. Solutions, Inc., Lanham, MD, March 1999.