Second look at approximating differential inclusions

Journal of Guidance, Control, and Dynamics

Volumn 24, Issue 1, 2001, Pages 131-133

  Fahroo, Fariba ^a   Ross, I Michael ^a,b  

^a NAVAL POSTGRADUATE SCHOOL   (United States)

^b CHARLES STARK DRAPER LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONSTRAINT THEORY; DIFFERENTIAL EQUATIONS; FUNCTIONS; INTEGRATION; LAGRANGE MULTIPLIERS; NONLINEAR PROGRAMMING;

DIFFERENTIAL INCLUSIONS; EULER INTEGRATION RULES; LEGENDRE PSEUDOSPECTRAL METHOD; POLYNOMIAL APPROXIMATION;

OPTIMAL CONTROL SYSTEMS;

EID: 0034830482     PISSN: 07315090     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.4686     Document Type: Article

References (12)

1. Hargraves, C. R., and Paris, S. W., "Direct Trajectory Optimization Using Nonlinear Programming and Collocation," Journal of Guidance, Control, and Dynamics, Vol. 10, No. 4, 1987, pp. 338-342.
2. Herman, A. L., and Conway, B. A., "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.
3. Conway, B. A., and Larson, K. M., "Collocation vs Differential Inclusion in Direct Optimization," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 5, 1998, pp. 780-785.
4. Enright, P. J., and Conway, B. A., "Discrete Approximations to Optimal Trajectories Using Direct Transcription and Nonlinear Programming," Journal of Guidance, Control, and Dynamics, Vol. 15, No. 3, 1992, pp. 994-1002.
5. Seywald, H., "Trajectory Optimization Based on Differential Inclusion," Journal of Guidance, Control, and Dynamics. Vol. 17, No. 3, 1994, pp. 480-487.
6. Kumar, R. R., and Seywald, H., "Should Controls be Eliminated While Solving Optimal Control Problems via Direct Method?" Journal of Guidance, Control, and Dynamics, Vol. 19, No. 2, 1996, pp. 418-423.
7. Canuto, C., Hussaini, M. Y., Quarteroni, A., and Zang, T. A., Spectral Methods in Fluid Dynamics, Springer-Verlag, New York, 1988.
8. Gottlieb, D., Hussaini, M. Y., and Orszag, S. A., "Theory and Applications of Spectral Methods," Spectral Methods for PDE's, Society for Industrial and Applied Mathematics, Philadelphia, 1984, pp. 1-54.
9. 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.
10. Fahroo, F., and Ross, I. M., "Costate Estimation by a Legendre Pseudospectral Method," Journal of Guidance, Control, and Dynamics (to be published); also AIAA Paper 98-4222, 1998.
11. Fahroo, F., and Ross, I. M., "Computational Optimal Control by Spectral Collocation with Differential Inclusion," Proceedings of the 1999 Flight Mechanics Symposium, NASA CP-1999-209235, 1999, pp. 185-200.
12. Gill, P. E., Murray, W., Saunders, M. A., and Wright, M. A., "User's Guide to NPSOL 5.0: A Fortran Package for Nonlinear Programming," Standard Optimization Lab., TR 86-1, July 1998.