Minimum-landing-error powered-descent guidance for mars landing using convex optimization

Journal of Guidance, Control, and Dynamics

Volumn 33, Issue 4, 2010, Pages 1161-1171

  Blackmore, Lars ^a,b   Açikmeşe, Behçet ^a,b   Scharf, Daniel P ^a,b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b Guidance and Control Analysis Group   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVEX OPTIMIZATION; ERRORS; OPTIMAL CONTROL SYSTEMS; RELAXATION PROCESSES; TRAJECTORIES;

CONVEX OPTIMIZATION PROBLEMS; CONVEX RELAXATION; GLOBAL OPTIMALITY; GUIDANCE ALGORITHM; NON-CONVEX OPTIMAL CONTROL PROBLEMS; OPTIMAL SOLUTIONS; ORDERS OF MAGNITUDE; REAL-TIME APPLICATION;

LANDING;

EID: 77956383849     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.47202     Document Type: Article

References (27)

1. Williams, D. R., "Mars Pathfinder Landing Site, " Dec. 2004, http://nssdc.gsfc.nasa.gov/planetary/marsland.html [retrieved 22 March 2010].
2. Knocke, P. C., Wawrzyniak, G. G., Kennedy, B. M., Desai, P. N., Parker, T. J., Golombek, M. P., Duxbury, T. C., and Kass, D. M., "Mars Exploration Rovers Landing Dispersion Analysis, " Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, AIAA Paper 2004- 5093, 2004.
3. Acikmese, B., and Ploen, S. R., "Convex Programming Approach to Powered Descent Guidance for Mars Landing, " Journal of Guidance, Control, and Dynamics, Vol.30, No.5, 2007, pp. 1353-1366. doi:10.2514/1.27553
4. Arvidson, R., Adams, D., Bonglio, G., Christensen, P., Cull, S., Golombek, M., et al., "Mars Exploration Program 2007 Phoenix Landing Site Selection and Characteristics, " Journal of Geophysical Research, Vol.113, 2008, Paper E00A03. doi:10.1029/2007JE003021
5. Wolf, A. A., Tooley, J., Ploen, S., Ivanov, M., Acikmese, B., and Gromov, K., "Performance Trades for Mars Pinpoint Landing, " IEEE Aerospace Conference, Inst. of Electrical and Electronics Engineers Paper 1661, 2006.
6. Meditch, J. S., "On the Problem of Optimal Thrust Programming for a Lunar Soft Landing, " IEEE Transactions on Automatic Control, Vol.9, No.4, 1964, pp. 477-484. doi:10.1109/TAC.1964.1105758
7. Miele, A., The Calculus of Variations in Applied Aerodynamics and Flight Mechanics in Optimization Techniques, edited by G. Leitmann, Academic Press, New York, 1962.
8. Klumpp, A. R., "Apollo Lunar Descent Guidance, " Automatica, Vol.10, No.2, 1974, pp. 133-146. doi:10.1016/0005-1098(74)90019-3
9. Topcu, U., Casoliva, J., and Mease, K., "Fuel Efficient Powered Descent Guidance for Mars Landing, " AIAA Paper 2005-6286, 2005.
10. Sostaric, R., and Rea, J., "Powered-Descent Guidance Methods for the Moon and Mars, " AIAA Guidance, Navigation, and Control Conference, San Francisco, AIAA Paper 2005-6287, 2005.
11. Najson, F., and Mease, K., "A Computationally Non-Expensive Guidance Algorithm for Fuel Efficient Soft Landing, " AIAAGuidance, Navigation, and Control Conference, San Francisco, AIAAPaper 2005- 6289, 2005.
12. Steinfeldt, B., Grant, M., Matz, D., and Braun, R., "Guidance, Navigation, and Control Technology System Trades for Mars Pinpoint Landing, " AIAA Guidance, Navigation, and Control Conference, AIAA Paper 2008-6216, 2008.
13. Ye, Y., Interior Point Algorithms, Wiley, New York, 1997.
14. Sturm, J. F., "Using SeDuMi 1.02, a MATLAB Toolbox for Optimization over Symmetric Cones, " Optimization Methods and Software, Vol.11, No.1, 1999, pp. 625-653. doi:10.1080/10556789908805766
15. Sturm, J. F., "Implementation of Interior Point Methods for Mixed Semidefinite and Second Order Cone Optimization Problems, " Optimization methods and software, Vol.17, No.6, 2002, pp. 1105-1154. doi:10.1080/ 1055678021000045123
16. Boyd, S., and Vandenberghe, L., Convex Optimization, Cambridge Univ. Press, New York, 2004.
17. D'Souza, C., "An Optimal Guidance Law for Planetary Landing, " AIAA Guidance, Navigation, and Control Conference, AIAA Paper 1997-3709, 1997.
18. Ploen, S., Acikmese, B., and Wolf, A., "A Comparison of Powered Descent Guidance Laws for Mars Pinpoint Landing, " AIAA Guidance, Navigation, and Control Conference, Keystone, CO, AIAAPaper 2006- 6676, 2006.
19. Antsaklis, P. J., and Michel, A. N., A Linear Systems Primer, Birkhäuser, Boston, 2007.
20. Vandenberghe, L., and Boyd, S., "Semidefinite Programming, " SIAM Review, Vol.38, No.1, 1996, pp. 49-95. doi:10.1137/1038003
21. Acikmese, B., Blackmore, L., Scharf, D. P., and Wolf, A., "Enhancements on the Convex Programming Based powered-descent Guidance Algorithm for Mars Landing, " AIAA Guidance, Navigation, and Control Conference, AIAA Paper 2008-6426, 2008.
22. Bertsekas D. P., Nonlinear Programming, 2nd ed., Athena Scientific, Belmont, MA, 2000.
23. Berkovitz, L. D., Optimal Control Theory, Springer-Verlag, New York, 1975.
24. Macki, J., and Strauss, A., Introduction to Optimal Control Theory, Springer-Verlag, New York, 1982.
25. Bartle, R. G., The Elements of Integration and Lebesgue Measure, Wiley, New York, 1985.
26. n, Wiley, New York, 2002.
27. Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., and Mischenko, E. F., The Mathematical Theory of Optimal Processes, Pergamon, New York, 1964.