Pseudospectral optimal control (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Pseudospectral optimal control" in English language version.

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20doi.org

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12semanticscholar.org

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Huneker, Laurens; Sagliano, Marco; Arslantas, Yunus (2015). SPARTAN: An Improved Global Pseudospectral Algorithm for High-fidelity Entry-Descent-Landing Guidance Analysis (PDF). The 30th International Symposium on Space Science and Technology. Kobe, Japan.
Sagliano, Marco (2014). "Performance analysis of linear and nonlinear techniques for automatic scaling of discretized control problems" (PDF). Operations Research Letters. 42 (3): 213–6. doi:10.1016/j.orl.2014.03.003.
d'Onofrio, Vincenzo; Sagliano, Marco; Arslantas, Yunus E. (2016). "Exact Hybrid Jacobian Computation for Optimal Trajectories via Dual Number Theory" (PDF). AIAA Guidance, Navigation, and Control Conference. doi:10.2514/6.2016-0867. ISBN 978-1-62410-389-6.

doi.org

Ross, I. Michael; Karpenko, Mark (2012). "A review of pseudospectral optimal control: From theory to flight". Annual Reviews in Control. 36 (2): 182–97. doi:10.1016/j.arcontrol.2012.09.002.
Ross, I M. (2005). "A Roadmap for Optimal Control: The Right Way to Commute". Annals of the New York Academy of Sciences. 1065: 210–31. Bibcode:2005NYASA1065..210R. doi:10.1196/annals.1370.015. PMID 16510411. S2CID 7625851.
Fahroo, Fariba; Ross, I. Michael (2008). "Advances in Pseudospectral Methods for Optimal Control". AIAA Guidance, Navigation and Control Conference and Exhibit. pp. 18–21. doi:10.2514/6.2008-7309. ISBN 978-1-60086-999-0. S2CID 17819443.
Ross, I.M.; Fahroo, F. (2003). "A unified computational framework for real-time optimal control". 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475). Vol. 3. pp. 2210–5. doi:10.1109/CDC.2003.1272946. ISBN 0-7803-7924-1. S2CID 122755607.
Qi Gong; Wei Kang; Bedrossian, Nazareth S.; Fahroo, Fariba; Pooya Sekhavat; Bollino, Kevin (2007). "Pseudospectral Optimal Control for Military and Industrial Applications". 2007 46th IEEE Conference on Decision and Control. pp. 4128–42. doi:10.1109/CDC.2007.4435052. hdl:10945/29677. ISBN 978-1-4244-1497-0. S2CID 2935682.
Li, Jr-Shin; Ruths, Justin; Yu, Tsyr-Yan; Arthanari, Haribabu; Wagner, Gerhard (2011). "Optimal pulse design in quantum control: A unified computational method". Proceedings of the National Academy of Sciences. 108 (5): 1879–84. Bibcode:2011PNAS..108.1879L. doi:10.1073/pnas.1009797108. JSTOR 41001785. PMC 3033291. PMID 21245345.
Ross, I. M.; Proulx, R. J. (September 2019). "Further Results on Fast Birkhoff Pseudospectral Optimal Control Programming" (PDF). Journal of Guidance, Control, and Dynamics. 42 (9): 2086–2092. Bibcode:2019JGCD...42.2086R. doi:10.2514/1.g004297. ISSN 1533-3884. S2CID 191166808.
Gong, Q.; Kang, W.; Ross, I.M. (2006). "A Pseudospectral Method for the Optimal Control of Constrained Feedback Linearizable Systems". IEEE Transactions on Automatic Control. 51 (7): 1115–29. doi:10.1109/TAC.2006.878570. hdl:10945/29674. S2CID 16048034.
Gong, Qi; Ross, I. Michael; Kang, Wei; Fahroo, Fariba (2007). "Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control". Computational Optimization and Applications. 41 (3): 307–35. doi:10.1007/s10589-007-9102-4. hdl:10945/48182. S2CID 38196250.
Elnagar, G.; Kazemi, M.A.; Razzaghi, M. (1995). "The pseudospectral Legendre method for discretizing optimal control problems". IEEE Transactions on Automatic Control. 40 (10): 1793–6. doi:10.1109/9.467672.
Fahroo, Fariba; Ross, I. Michael (2001). "Costate Estimation by a Legendre Pseudospectral Method". Journal of Guidance, Control, and Dynamics. 24 (2): 270–7. Bibcode:2001JGCD...24..270F. doi:10.2514/2.4709. hdl:10945/29649. S2CID 122759455.
Gong, Qi; Fahroo, Fariba; Ross, I. Michael (2008). "Spectral Algorithm for Pseudospectral Methods in Optimal Control". Journal of Guidance, Control, and Dynamics. 31 (3): 460–71. Bibcode:2008JGCD...31..460G. CiteSeerX 10.1.1.301.3354. doi:10.2514/1.32908. hdl:10945/56995. S2CID 18145691.
Elnagar, Gamal N.; Kazemi, Mohammad A. (1998). "Pseudospectral Chebyshev Optimal Control of Constrained Nonlinear Dynamical Systems". Computational Optimization and Applications. 11 (2): 195–217. doi:10.1023/A:1018694111831. S2CID 30241469.
Fahroo, Fariba; Ross, I. Michael (2002). "Direct Trajectory Optimization by a Chebyshev Pseudospectral Method". Journal of Guidance, Control, and Dynamics. 25 (1): 160–6. Bibcode:2002JGCD...25..160F. doi:10.2514/2.4862.
Benson, David A.; Huntington, Geoffrey T.; Thorvaldsen, Tom P.; Rao, Anil V. (2006). "Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method". Journal of Guidance, Control, and Dynamics. 29 (6): 1435–40. Bibcode:2006JGCD...29.1435B. CiteSeerX 10.1.1.658.9510. doi:10.2514/1.20478.
Rao, Anil V.; Benson, David A.; Darby, Christopher; Patterson, Michael A.; Francolin, Camila; Sanders, Ilyssa; Huntington, Geoffrey T. (2010). "Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method". ACM Transactions on Mathematical Software. 37 (2). doi:10.1145/1731022.1731032. S2CID 15375549.
Garg, Divya; Patterson, Michael A.; Francolin, Camila; Darby, Christopher L.; Huntington, Geoffrey T.; Hager, William W.; Rao, Anil V. (2009). "Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method". Computational Optimization and Applications. 49 (2): 335–58. CiteSeerX 10.1.1.663.4215. doi:10.1007/s10589-009-9291-0. S2CID 8817072.
Sagliano, Marco; Theil, Stephan (2013). "Hybrid Jacobian Computation for Fast Optimal Trajectories Generation". AIAA Guidance, Navigation, and Control (GNC) Conference. doi:10.2514/6.2013-4554. ISBN 978-1-62410-224-0.
Sagliano, Marco (2014). "Performance analysis of linear and nonlinear techniques for automatic scaling of discretized control problems" (PDF). Operations Research Letters. 42 (3): 213–6. doi:10.1016/j.orl.2014.03.003.
d'Onofrio, Vincenzo; Sagliano, Marco; Arslantas, Yunus E. (2016). "Exact Hybrid Jacobian Computation for Optimal Trajectories via Dual Number Theory" (PDF). AIAA Guidance, Navigation, and Control Conference. doi:10.2514/6.2016-0867. ISBN 978-1-62410-389-6.

escholarship.org

Gong, Q.; Kang, W.; Ross, I.M. (2006). "A Pseudospectral Method for the Optimal Control of Constrained Feedback Linearizable Systems". IEEE Transactions on Automatic Control. 51 (7): 1115–29. doi:10.1109/TAC.2006.878570. hdl:10945/29674. S2CID 16048034.
Gong, Qi; Ross, I. Michael; Kang, Wei; Fahroo, Fariba (2007). "Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control". Computational Optimization and Applications. 41 (3): 307–35. doi:10.1007/s10589-007-9102-4. hdl:10945/48182. S2CID 38196250.

handle.net

hdl.handle.net

Qi Gong; Wei Kang; Bedrossian, Nazareth S.; Fahroo, Fariba; Pooya Sekhavat; Bollino, Kevin (2007). "Pseudospectral Optimal Control for Military and Industrial Applications". 2007 46th IEEE Conference on Decision and Control. pp. 4128–42. doi:10.1109/CDC.2007.4435052. hdl:10945/29677. ISBN 978-1-4244-1497-0. S2CID 2935682.
Gong, Q.; Kang, W.; Ross, I.M. (2006). "A Pseudospectral Method for the Optimal Control of Constrained Feedback Linearizable Systems". IEEE Transactions on Automatic Control. 51 (7): 1115–29. doi:10.1109/TAC.2006.878570. hdl:10945/29674. S2CID 16048034.
Gong, Qi; Ross, I. Michael; Kang, Wei; Fahroo, Fariba (2007). "Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control". Computational Optimization and Applications. 41 (3): 307–35. doi:10.1007/s10589-007-9102-4. hdl:10945/48182. S2CID 38196250.
Fahroo, Fariba; Ross, I. Michael (2001). "Costate Estimation by a Legendre Pseudospectral Method". Journal of Guidance, Control, and Dynamics. 24 (2): 270–7. Bibcode:2001JGCD...24..270F. doi:10.2514/2.4709. hdl:10945/29649. S2CID 122759455.
Gong, Qi; Fahroo, Fariba; Ross, I. Michael (2008). "Spectral Algorithm for Pseudospectral Methods in Optimal Control". Journal of Guidance, Control, and Dynamics. 31 (3): 460–71. Bibcode:2008JGCD...31..460G. CiteSeerX 10.1.1.301.3354. doi:10.2514/1.32908. hdl:10945/56995. S2CID 18145691.

harvard.edu

ui.adsabs.harvard.edu

Ross, I M. (2005). "A Roadmap for Optimal Control: The Right Way to Commute". Annals of the New York Academy of Sciences. 1065: 210–31. Bibcode:2005NYASA1065..210R. doi:10.1196/annals.1370.015. PMID 16510411. S2CID 7625851.
Li, Jr-Shin; Ruths, Justin; Yu, Tsyr-Yan; Arthanari, Haribabu; Wagner, Gerhard (2011). "Optimal pulse design in quantum control: A unified computational method". Proceedings of the National Academy of Sciences. 108 (5): 1879–84. Bibcode:2011PNAS..108.1879L. doi:10.1073/pnas.1009797108. JSTOR 41001785. PMC 3033291. PMID 21245345.
Ross, I. M.; Proulx, R. J. (September 2019). "Further Results on Fast Birkhoff Pseudospectral Optimal Control Programming" (PDF). Journal of Guidance, Control, and Dynamics. 42 (9): 2086–2092. Bibcode:2019JGCD...42.2086R. doi:10.2514/1.g004297. ISSN 1533-3884. S2CID 191166808.
Fahroo, Fariba; Ross, I. Michael (2001). "Costate Estimation by a Legendre Pseudospectral Method". Journal of Guidance, Control, and Dynamics. 24 (2): 270–7. Bibcode:2001JGCD...24..270F. doi:10.2514/2.4709. hdl:10945/29649. S2CID 122759455.
Gong, Qi; Fahroo, Fariba; Ross, I. Michael (2008). "Spectral Algorithm for Pseudospectral Methods in Optimal Control". Journal of Guidance, Control, and Dynamics. 31 (3): 460–71. Bibcode:2008JGCD...31..460G. CiteSeerX 10.1.1.301.3354. doi:10.2514/1.32908. hdl:10945/56995. S2CID 18145691.
Fahroo, Fariba; Ross, I. Michael (2002). "Direct Trajectory Optimization by a Chebyshev Pseudospectral Method". Journal of Guidance, Control, and Dynamics. 25 (1): 160–6. Bibcode:2002JGCD...25..160F. doi:10.2514/2.4862.
Benson, David A.; Huntington, Geoffrey T.; Thorvaldsen, Tom P.; Rao, Anil V. (2006). "Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method". Journal of Guidance, Control, and Dynamics. 29 (6): 1435–40. Bibcode:2006JGCD...29.1435B. CiteSeerX 10.1.1.658.9510. doi:10.2514/1.20478.

jstor.org

Li, Jr-Shin; Ruths, Justin; Yu, Tsyr-Yan; Arthanari, Haribabu; Wagner, Gerhard (2011). "Optimal pulse design in quantum control: A unified computational method". Proceedings of the National Academy of Sciences. 108 (5): 1879–84. Bibcode:2011PNAS..108.1879L. doi:10.1073/pnas.1009797108. JSTOR 41001785. PMC 3033291. PMID 21245345.

nih.gov

pubmed.ncbi.nlm.nih.gov

Ross, I M. (2005). "A Roadmap for Optimal Control: The Right Way to Commute". Annals of the New York Academy of Sciences. 1065: 210–31. Bibcode:2005NYASA1065..210R. doi:10.1196/annals.1370.015. PMID 16510411. S2CID 7625851.
Li, Jr-Shin; Ruths, Justin; Yu, Tsyr-Yan; Arthanari, Haribabu; Wagner, Gerhard (2011). "Optimal pulse design in quantum control: A unified computational method". Proceedings of the National Academy of Sciences. 108 (5): 1879–84. Bibcode:2011PNAS..108.1879L. doi:10.1073/pnas.1009797108. JSTOR 41001785. PMC 3033291. PMID 21245345.

ncbi.nlm.nih.gov

Li, Jr-Shin; Ruths, Justin; Yu, Tsyr-Yan; Arthanari, Haribabu; Wagner, Gerhard (2011). "Optimal pulse design in quantum control: A unified computational method". Proceedings of the National Academy of Sciences. 108 (5): 1879–84. Bibcode:2011PNAS..108.1879L. doi:10.1073/pnas.1009797108. JSTOR 41001785. PMC 3033291. PMID 21245345.

nps.edu

calhoun.nps.edu

Ross, I. M.; Proulx, R. J. (September 2019). "Further Results on Fast Birkhoff Pseudospectral Optimal Control Programming" (PDF). Journal of Guidance, Control, and Dynamics. 42 (9): 2086–2092. Bibcode:2019JGCD...42.2086R. doi:10.2514/1.g004297. ISSN 1533-3884. S2CID 191166808.

psu.edu

citeseerx.ist.psu.edu

Gong, Qi; Fahroo, Fariba; Ross, I. Michael (2008). "Spectral Algorithm for Pseudospectral Methods in Optimal Control". Journal of Guidance, Control, and Dynamics. 31 (3): 460–71. Bibcode:2008JGCD...31..460G. CiteSeerX 10.1.1.301.3354. doi:10.2514/1.32908. hdl:10945/56995. S2CID 18145691.
Benson, David A.; Huntington, Geoffrey T.; Thorvaldsen, Tom P.; Rao, Anil V. (2006). "Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method". Journal of Guidance, Control, and Dynamics. 29 (6): 1435–40. Bibcode:2006JGCD...29.1435B. CiteSeerX 10.1.1.658.9510. doi:10.2514/1.20478.
Garg, Divya; Patterson, Michael A.; Francolin, Camila; Darby, Christopher L.; Huntington, Geoffrey T.; Hager, William W.; Rao, Anil V. (2009). "Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method". Computational Optimization and Applications. 49 (2): 335–58. CiteSeerX 10.1.1.663.4215. doi:10.1007/s10589-009-9291-0. S2CID 8817072.

semanticscholar.org

api.semanticscholar.org

Ross, I M. (2005). "A Roadmap for Optimal Control: The Right Way to Commute". Annals of the New York Academy of Sciences. 1065: 210–31. Bibcode:2005NYASA1065..210R. doi:10.1196/annals.1370.015. PMID 16510411. S2CID 7625851.
Fahroo, Fariba; Ross, I. Michael (2008). "Advances in Pseudospectral Methods for Optimal Control". AIAA Guidance, Navigation and Control Conference and Exhibit. pp. 18–21. doi:10.2514/6.2008-7309. ISBN 978-1-60086-999-0. S2CID 17819443.
Ross, I.M.; Fahroo, F. (2003). "A unified computational framework for real-time optimal control". 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475). Vol. 3. pp. 2210–5. doi:10.1109/CDC.2003.1272946. ISBN 0-7803-7924-1. S2CID 122755607.
Qi Gong; Wei Kang; Bedrossian, Nazareth S.; Fahroo, Fariba; Pooya Sekhavat; Bollino, Kevin (2007). "Pseudospectral Optimal Control for Military and Industrial Applications". 2007 46th IEEE Conference on Decision and Control. pp. 4128–42. doi:10.1109/CDC.2007.4435052. hdl:10945/29677. ISBN 978-1-4244-1497-0. S2CID 2935682.
Ross, I. M.; Proulx, R. J. (September 2019). "Further Results on Fast Birkhoff Pseudospectral Optimal Control Programming" (PDF). Journal of Guidance, Control, and Dynamics. 42 (9): 2086–2092. Bibcode:2019JGCD...42.2086R. doi:10.2514/1.g004297. ISSN 1533-3884. S2CID 191166808.
Gong, Q.; Kang, W.; Ross, I.M. (2006). "A Pseudospectral Method for the Optimal Control of Constrained Feedback Linearizable Systems". IEEE Transactions on Automatic Control. 51 (7): 1115–29. doi:10.1109/TAC.2006.878570. hdl:10945/29674. S2CID 16048034.
Gong, Qi; Ross, I. Michael; Kang, Wei; Fahroo, Fariba (2007). "Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control". Computational Optimization and Applications. 41 (3): 307–35. doi:10.1007/s10589-007-9102-4. hdl:10945/48182. S2CID 38196250.
Fahroo, Fariba; Ross, I. Michael (2001). "Costate Estimation by a Legendre Pseudospectral Method". Journal of Guidance, Control, and Dynamics. 24 (2): 270–7. Bibcode:2001JGCD...24..270F. doi:10.2514/2.4709. hdl:10945/29649. S2CID 122759455.
Gong, Qi; Fahroo, Fariba; Ross, I. Michael (2008). "Spectral Algorithm for Pseudospectral Methods in Optimal Control". Journal of Guidance, Control, and Dynamics. 31 (3): 460–71. Bibcode:2008JGCD...31..460G. CiteSeerX 10.1.1.301.3354. doi:10.2514/1.32908. hdl:10945/56995. S2CID 18145691.
Elnagar, Gamal N.; Kazemi, Mohammad A. (1998). "Pseudospectral Chebyshev Optimal Control of Constrained Nonlinear Dynamical Systems". Computational Optimization and Applications. 11 (2): 195–217. doi:10.1023/A:1018694111831. S2CID 30241469.
Rao, Anil V.; Benson, David A.; Darby, Christopher; Patterson, Michael A.; Francolin, Camila; Sanders, Ilyssa; Huntington, Geoffrey T. (2010). "Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method". ACM Transactions on Mathematical Software. 37 (2). doi:10.1145/1731022.1731032. S2CID 15375549.
Garg, Divya; Patterson, Michael A.; Francolin, Camila; Darby, Christopher L.; Huntington, Geoffrey T.; Hager, William W.; Rao, Anil V. (2009). "Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method". Computational Optimization and Applications. 49 (2): 335–58. CiteSeerX 10.1.1.663.4215. doi:10.1007/s10589-009-9291-0. S2CID 8817072.

worldcat.org

search.worldcat.org

Ross, I. M.; Proulx, R. J. (September 2019). "Further Results on Fast Birkhoff Pseudospectral Optimal Control Programming" (PDF). Journal of Guidance, Control, and Dynamics. 42 (9): 2086–2092. Bibcode:2019JGCD...42.2086R. doi:10.2514/1.g004297. ISSN 1533-3884. S2CID 191166808.

zenodo.org

Fahroo, Fariba; Ross, I. Michael (2002). "Direct Trajectory Optimization by a Chebyshev Pseudospectral Method". Journal of Guidance, Control, and Dynamics. 25 (1): 160–6. Bibcode:2002JGCD...25..160F. doi:10.2514/2.4862.