Conversion of optimal control problems into parameter optimization problems

Journal of Guidance, Control, and Dynamics

Volumn 20, Issue 1, 1997, Pages 57-60

  Hull, David G ^a,b,c,d,e,f  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b PURDUE UNIVERSITY   (United States)

^c UNIVERSITY OF WASHINGTON   (United States)

^d RICE UNIVERSITY   (United States)

^e SANDIA NATIONAL LABORATORIES   (United States)

^f Sandia National Laboratories ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; DIFFERENTIAL EQUATIONS; INTEGRATION; INTERPOLATION; PARAMETER ESTIMATION; PROBLEM SOLVING; STATE ESTIMATION;

CONTROL SYSTEM PARAMETERS;

OPTIMAL CONTROL SYSTEMS;

EID: 0030829242     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.4033     Document Type: Article

References (10)

1. Hull, D. G., and Speyer, J. L., "Optimal Reentry and Plane-Change Trajectories," Journal of the Astronautical Sciences, Vol. 30, No. 2, 1982, pp. 117-130.
2. 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.
3. 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. 4, 1992, pp. 994-1001.
4. Betts, J. T., "Using Sparse Nonlinear Programming to Compute Low Thrust Orbit Transfers," Journal of the Astronautical Sciences, Vol. 41, No. 3, 1993, pp. 349-371.
5. Seywald, H., "Trajectory Optimization Based on Differential Inclusion," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 3, 1994, pp. 480-487.
6. Hoffman, J. D., Numerical Methods for Engineers and Scientists, McGraw-Hill, New York, 1992.
7. Ascher, U. M., Martheij, R. M. M., and Russell, R. D., Numerical Solution of Boundary Value Problems for Ordinary Differential Problems, Prentice-Hall, Englewood Cliffs, NJ, 1988.
8. Butcher, J. C., "Implicit Runge-Kutta Processes," Mathematics of Computation, Vol. 18, No. 85, 1964, pp. 50-64.
9. Hempel, P., "Application of Implicit Runge-Kutta Methods," AIAA Paper 76-818, Aug. 1976.
10. 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.