PUBLICATIONS RELATED TO GPOPS
ALGORITHMS AND METHODOLOGY
Darby, C. L., Hager, W. W., and Rao, A. V., “An hp-Adaptive Pseudospectral Method for Solving Optimal Control Problems,” Optimal Control Applications and Methods, Accepted for Publication, June 2010 (to appear).
Garg, D., Patterson, M. A., Hager, W. W, Rao, A. V., Benson, D. A., and Huntington, G. T., “A Unified Framework for the Numerical Solution of Optimal Control Problems Using Pseudospectral Methods,” Automatica, Accepted for Publication, June 2010 (to appear).
Garg, D., Patterson, M. A., Darby, C. L. Francolin, F., Huntington, G. T., Hager, W. W, and Rao, A. V., “Direct Trajectory Optimization and Costate Estimation of Finite-Horizon and Infinite-Horizon Optimal Control Problems Using a Radau Pseudospectral Method,” Computational Optimization and Applications, Published Online at SpringerLink, 6 October 2009. See http://www.springerlink.com/content/n851q6n343p9k60k.
Rao, A. V., Benson, D. A., Darby, C. L., Patterson, M. A., Francolin, C., and Huntington, G. T., “Algorithm: GPOPS, A MATLAB Software for Solving Multiple-Phase Optimal Control Problems Using The Gauss Pseudospectral Method,” ACM Transactions on Mathematical Software, Vol. 37, No. 2, April-June 2010, pp. 22:1-39.
Darby, C. L. and Rao, A. V., “An Initial Examination of Using Pseudospectral Methods for Time-Scale and Differential Geometric Analysis of Nonlinear Optimal Control Problems,” 2008 Astrodynamics Speclaist Conference, AIAA Paper 2008-6449, Honolulu, Hawaii, August 18-21, 2008.
Huntington, G. T. and Rao A. V., "Comparison of Global and Local Collocation Methods for Optimal Control," Journal of Guidance, Control, and Dynamics, Vol. 31, No. 2, March-April 2008, pp. 432-436.
Huntington, G. T. and Rao A. V., "A Comparison of Local and Global Orthogonal Collocation Methods for Solving Optimal Control Problems," 2007 American Control Conference, July 11-13, New York.
Huntington, G. T., Advancement and Analysis of a Gauss Pseudospectral Transcription for Optimal Control Problems, Ph.D. Thesis, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, May 2007.
Benson, D. A., Huntington, G. T., Thorvaldsen, T. P., and Rao, A. V., "Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method," Journal of Guidance, Control, and Dynamics, Vol. 29. No. 6, November-December, 2006, pp. 1435-1440.
Benson. D. A., A Gauss Pseudospectral Transcription for Optimal Control, Ph.D. Thesis, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, November 2004.
APPLICATIONS
Baumgartner, K. A. C., Ferrari, S., and Rao, A. V., "Optimal Control of an Underwater Sensor Network for Cooperative Target Tracking," IEEE Journal of Oceanic Engineering, Vol. 34, No. 4, October 2009, pp. 678-697.
Matsumura, T., Gogu, C., Haftka, R., and Rao, A. V., “Aeroassisted Orbital Transfer Trajectory Optimization Considering Thermal Protection System Mass,” Journal of Guidance, Control, and Dynamics, Accepted for Publication (to appear).
Rao, A. V., Scherich, A. W., Cox, S., and Mosher, T., “A Concept for Operationally Responsive Space Mission Planning Using Aeroassisted Orbital Transfer,” 2008 Responsive Space Conference, AIAA Paper RS6-2008-1001, Los Angeles, California, April 28-May 1, 2008.
Huntington, G. T. and Rao, A. V., "Optimal Reconfiguration of Spacecraft Formations Using the Gauss Pseudospectral Method," Journal of Guidance, Control, and Dynamics, Vol. 31, No. 3, May-June 2008, pp. 689-698.
Huntington, G. T., Benson, D. A., and Rao, A. V., "Design of Optimal Tetrahedral Spacecraft Formations," The Journal of the Astronautical Sciences, Vol. 55, No. 2., April-June 2007, pp. 141-169.
Huntington, G. T., Benson, D. A., and Rao, A. V., "Post-Optimality Analysis and Evaluation of a Formation Flying Problem via a Gauss Pseudospectral Method," 2005 Astrodynamics Specialist Conference, Lake Tahoe, California, August 2005.
Huntington, G. T. and Rao, A. V., "Optimal Reconfiguration of Tetrahedral Spacecraft Formations via a Gauss Pseudospectral Method," 2005 Astrodynamics Specialist Conference, Lake Tahoe, California, August 2005.
Huntington, G. T. and Rao, A. V., "Optimal Configuration of Tetrahedral Spacecraft Formations via a Gauss Pseudospectral Method," 2005 Space Flight Mechanics Meeting, Copper Mountain, Colorado, January 2005.