Rapid verification method for the trajectory optimization of reentry vehicles

Journal of Guidance, Control, and Dynamics

Volumn 26, Issue 3, 2003, Pages 505-508

  Josselyn, Scott ^a   Ross, I Michael ^a  

^a NAVAL POSTGRADUATE SCHOOL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONSTRAINT THEORY; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; NONLINEAR PROGRAMMING; PROBLEM SOLVING; REENTRY; SPECTRUM ANALYSIS; TRAJECTORIES;

PSEUDOSPECTRAL METHOD; REENTRY VEHICLES;

OPTIMAL CONTROL SYSTEMS;

EID: 0037601834     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.5074     Document Type: Article

References (11)

1. Bryson, A. E., Mikami, K., and Battle, C. T., "Optimal Lateral Turns for a Re-Entry Glider," Aerospace Engineering, Vol. 21, No. 3, 1962.
2. Vinh, N. X., Optimal Trajectories in Atmospheric Flight, Elsevier, New York, 1981, pp. 1-52.
3. Betts, J. T., Practical Methods for Optimal Control Using Nonlinear Programming, Society for Industrial and Applied Mechanics, Philadelphia, 2001.
4. Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., and Mischenko, E. F., The Mathematical Theory of Optimal Processes, Wiley-Interscience, New York, 1962.
5. Kreim, H., Kugelmann, B., Pesch, H. J., and Breitner, M. H., "Minimizing the Maximum Heating of a Reentering Space Shuttle: An Optimal Control Problem with Multiple Control Constraints," Optimal Control Applications and Methods, Vol. 17, 1996, pp. 45-69.
6. Elnagar, J., Kazemi, M. A., and Razzaghi, M., "The Pseudospectral Legendre Method for Discretizing Optimal Control Problems," IEEE Transactions on Automatic Control, Vol. 40, No. 10, 1995, pp. 1793-1796.
7. Ross, I. M., and Fahroo, F., "A Pseudospectral Transformation of the Covectors of Optimal Control Systems," Proceedings of the First International Federation on Automatic Control (IFAC) Symposium on Systems Structure and Control, International Federation on Automatic Control, Laxenburg, Austria, 2001.
8. Ross, I. M., and Fahroo, F., "Convergence of Pseudospectral Approximations for Optimal Control Problems," Proceedings of the 2001 IEEE Conference on Decision and Control, IEEE Press, Piscataway, NJ, 2001.
9. Ross, I. M., and Fahroo, F., "User's Manual for DIDO 2002: A MATLAB Application Package for Dynamic Optimization," Dept. of Aeronautics and Astronautics, NPS Technical Rept. AA-02-002, Naval Postgraduate School, Monterey, CA, June 2002.
10. Gill, P. E., Murray, W., and Saunders, M. A., "SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization," Numerical Analysis Rept. 97-1, Dept. of Mathematics, Univ. of California, San Diego, La Jolla, CA, 1997.
11. Hartl, R. F., Sethi, S. P., and Vickson, R. G., "A Survey of the Maximum Principles for Optimal Control Problems with State Constraints," SIAM Review, Vol. 37, No. 2, 1995, pp. 181-218.