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Pseudospectral optimal control is a joint theoretical-computational method for solving optimal control problems.[1][2][3][4] It combines pseudospectral (PS) theory with optimal control theory to produce a PS optimal control theory. PS optimal control theory has been used in ground and flight systems[1] in military and industrial applications.[5] The techniques have been extensively used to solve a wide range of problems such as those arising in UAV trajectory generation, missile guidance, control of robotic arms, vibration damping, lunar guidance, magnetic control, swing-up and stabilization of an inverted pendulum, orbit transfers, tether libration control, ascent guidance and quantum control.[5][6]
^ abRoss, 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.
^ abQi 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.
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