GPOPS

Open-Source General Pseudospectral Optimal Control Software

Publications Related to GPOPS



[1] Rao, A. V., Benson, D. A., Darby, C. L., Patterson, M. A., Francolin, C., and Huntington, G. T., “Algorithm 902: 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, Article No. 22, pp. 1-39. DOI: 10.1145/1731022.1731032.

[2] Darby, C. L., Hager, W. W., and Rao, A. V., “
Direct Trajectory Optimization Using a Variable Low-Order Adaptive Pseudospectral Method,” Journal of Spacecraft and Rockets, Vol. 49, No. 3, May-June 2011, pp. 433-445.

[3] 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, Vol. 32, No. 4, July-August 2011, pp. 476-502.

[4] Garg, D., Patterson, M. A., Hager, W. W, Rao, A. V., Benson, D. A., and Huntington, G. T., “
Pseudospectral Methods for Solving Infinite-Horizon Optimal Control Problems,” Automatica, Vol. 47, No. 4, April 2011, pp. 829-837.

[5] 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, Vol. 46, No. 11, pp. 1843-1851. DOI: 10.1016/j.automatica.2010.06.048.

[6] 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, Vol. 49, No. 2, June 2011, pp. 335-358.

[7] 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.

[8] Garg, D.,
Advances in Global Pseudospectral Methods for Optimal Control, Ph.D. Thesis, Department of Mechanical and Aerospace Engineering, University of Florida, August 2011.

[9] Darby, C. L.,
hp-Pseudospectral Method for Solving Continuous-Time Nonlinear Optimal Control Problems, Ph.D. Thesis, Department of Mechanical and Aerospace Engineering, University of Florida, April 2011.

[10] 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.

[11] Benson, D. A., A Gauss Pseudospectral Transcription for Optimal Control, Ph.D. Thesis, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, November 2004.