Publications
The following publication describes PSOPT and can be used as a reference to the software, together with the user's manual:
Becerra, V.M. (2010). "Solving complex optimal control problems at no cost with PSOPT". Proc. IEEE Multi-conference on Systems and Control, Yokohama, Japan, September 7-10, 2010, pp. 1391-1396.
PSOPT has been used to generate results in the following publications.
Journal articles
Becerra, V.M. and Galvao, R.K.H. (2010) "A tutorial on pseudospectral methods for computational optimal control" (In Portuguese). SBA Controle & Automação, Campinas, v. 21, n. 3, June 2010, pp. 224-244
Ceriotti, M. and McInnes, C.R. (2011). "Systems design of a hybrid pole-sitter". Advances in Space Research. 48(11), 1 December 2011, Pages 1754–1762
Ceriotti, M. and Mcinnes, C.R. (2011). "Generation of optimal trajectories for Earth hybrid pole-sitters". Journal of Guidance, Control and Dynamics, 34 (3). pp. 847-859. ISSN 0731-5090. DOI: 10.2514/1.50935
Audu, M., Nataraj, R., Gartman, S., and Triolo, R. (2011), "Posture shifting after spinal cord injury using functional neuromuscular stimulation: a computer simulation study". Journal of Biomechanics, 44(9), pp. 1639-1645.
Heiligers, J., Ceriotti, M., C. R. McInnes and J.D. Biggs (2011). "Displaced geostationary orbit design using hybrid sail propulsion". Journal of Guidance, Control and Dynamics, 34(6), pp. 1852-1866. ISSN 0731-5090. DOI: 10.2514/1.53807.
Docherty, Stephanie and Macdonald, Malcolm (2011). "Analytical sun synchronous low-thrust manoeuvres". Journal of Guidance, Control and Dynamics. ISSN 0731-5090. (In Press).
Heiligers, J., McInnes, C.R., Biggs, J.D., Ceriotti, M., “Displaced geostationary orbits using hybrid low-thrust propulsion”, Acta Astronautica (2012), Vol. 71, Pages 51-67.
Heiligers, J., Ceriotti, M., McInnes, C. R., and Biggs, J., 2012, Design of Optimal Earth Pole-Sitter Transfers Using Low-Thrust Propulsion, Acta Astronautica, 79, pp. 253-268
Wang, B. De Schutter, T.J.J. van den Boom, and B. Ning, “Optimal trajectory planning for trains – A pseudospectral method and a mixed integer linear programming approach", Transportation Research Part C, vol. 29, pp. 97–114, Apr. 2013.
Martin Short, Ashley B. Pitcher and Maria R. D’Orsogna. “External conversions of player strategy in an evolutionary game: A cost-benefit analysis through optimal control”. Euro. Jnl of Applied Mathematics (2013), vol. 24, pp. 131–159.
Heiligers, J, Ceriotti, M., McInnes, C and Biggs, J. (2014). "Mission analysis and systems design of a near-term and far-term pole-sitter mission". Acta Astronautica, 94 (1). pp. 455-469.
Ceriotti, M., Heiligers, J., and McInnes, C. R., 2014, Trajectory and Spacecraft Design for a Pole-Sitter Mission, AIAA Journal of Spacecraft and Rockets, 51 (1). pp. 311-326
Heiligers, J., Mingotti, G., and McInnes, C.R., 2015, Optimal Solar Sail Transfers Between Halo Orbits of Different Sun-Planet Systems, Advances in Space Research, 55 (5), pp. 1405-1421
C Blouin, E Lanteigne, W Gueaieb (2016), "Trajectory optimization of a small airship in a moving fluid", Transactions of the Canadian Society for Mechanical Engineering 40 (2), 191-200
Ye, H and Liu, R orcid.org/0000-0003-0627-3184 (2016) A multiphase optimal control method for multi-train control and scheduling on railway lines. Transportation Research Part B: Methodological, 93 (Part A). pp. 377-393
O. Bara, S.M. Djouadi, J.D Day, S. Lenhart (2017), "Immune Therapeutic Strategies Using Optimal Controls with L1 and L2 Type Objectives", Mathematical Biosciences, Available online 31 May 2017, ISSN 0025-5564.
de Jong, Paul; Bussink, F. J L; Verhoeven, RPM; de Gelder, N; van Paassen, Rene; Mulder, Max. "Time and Energy Management During ApproachA Human-in-the-Loop Study". Journal of Aircraft, Vol. 54, No. 1, pp. 177-189, 2017
L'Afflitto, Andrea and Haddad, Wassim M. "Abnormal Optimal Trajectory Planning of Multi-Body Systems in the Presence of Holonomic and Nonholonomic Constraints", Journal of Intelligent & Robotic Systems, 89(1):51-67, 2018.
Yuan Liu, Yong Hao, and Weiwei Liu, “Loosely Formation-Displaced Geostationary Orbit Optimization with Complex Hybrid Sail Propulsion,” Complexity, vol. 2018, Article ID 3576187, 9 pages, 2018. https://doi.org/10.1155/2018/3576187.
Liu, Y, Heiligers, J., and Ceriotti, M., 2018 Loosely-Displaced Geostationary Orbits with Hybrid Sail Propulsion, Aerospace Science and Technology, 79, pp. 105-117, doi: 10.1016/j.ast.2018.05.034
Shirin, Afroza and Klickstein, Isaac S. and Feng, Song and Lin, Yen Ting and Hlavacek, William S. and Sorrentino, Francesco. "Prediction of Optimal Drug Schedules for Controlling Autophagy". Scientific Reports, volume 9, Article number: 1428 (2019).
Shirin A, Della Rossa F, Klickstein I, Russell J, Sorrentino F (2019) Optimal regulation of blood glucose level in Type I diabetes using insulin and glucagon. PLOS ONE 14(3): e0213665.
Farrés, A., Heiligers, J., Miguel, N., Road Map to L4/L5 with a Solar Sail, 2019, Journal of Aerospace Science and Technology, Vol. 95, doi: 10.1016/j.ast.2019.105458
Heiligers, J.,, Fernandez, J.M., Stohlman, O.R., Wilkie, W.K. 2019, Trajectory Design for a Solar-Sail Mission to Asteroid 2016 HO3, Astrodynamics, Vol. 3 (3), pp. 231-246, doi: 10.1007/s42064-019-0061-1
Vergaaij, M. and Heiligers, J., 2019, Solar-Sail Trajectory Design to Planetary Pole-sitters, AIAA Journal of Guidance, Control, and Dynamics, Vol. 42 (6), doi: 10.2514/1.G003952
Vergaaij, M. and Heiligers, J., 2018, Time-Optimal Solar Sail Heteroclinic Connections for an Earth-Mars Cycler, Acta Astronautica, Vol. 152, pp. 474-485
Heiligers, J., Vergaaij, M., and Ceriotti, M., 2020, End-To-End Trajectory Design for a Solar-Sail-Only Pole-Sitter at Venus, Earth, and Mars, Advances in Space Research, In Press
Ramos Ramos A. R., Kühn O., 2021, Direct Optimal Control Approach to Laser-Driven Quantum Particle Dynamics, Frontiers in Physics, Vol. 9.
Priyank Pradeep, Gano B. Chatterji2, Todd A. Lauderdale, Kapil Sheth, Chok Fung Lai, Heinz Erzberger, Banavar Sridhar. “Wind-optimal lateral trajectories for a multirotor aircraft in urban air mobility”. Front. Aeroesp. Eng., Sec. Intelligent Aerospace Systems, 30 November 2022.
Ramos Ramos A. R., Kühn O. "Direct Optimal Control Approach to Laser-Driven Quantum Particle Dynamics". Frontiers in Physics, Vol 9, 2021
Gonzalez-Saenz J, Becerra V. Determination of Fast Battery-Charging Profiles Using an Electrochemical Model and a Direct Optimal Control Approach. Batteries. 2024; 10(1):2.
Gonzalez-Saenz J, Becerra V. Determining Fast Battery Charging Profiles Using an Equivalent Circuit Model and a Direct Optimal Control Approach. Energies. 2024; 17(6):1470.
Books
Wang, Y., Ning, B., van den Boom, T., De Schutter, B. (2016), "Optimal Trajectory Planning and Train Scheduling for Urban Rail Transit Systems". Springer.
Harald Waschl and Ilya Kolmanovsky (2014), Optimization and Optimal Control in Automotive Systems (Lecture Notes in Control and Information Sciences Book 455). Springer.
Book chapters
V.M. Becerra (2011), “Optimal Control”. In: The Industrial Electronics Handbook, Control and Mechatronics, Chapter 16. B. Wilamowski and J. Irwin (Eds.). CRC Press, Boca Raton, FL.
V.M. Becerra (2013). "Practical direct collocation methods for computational optimal control". In: G. Fasano and J. Pinter. “Modeling and Optimization in Space Engineering”. Springer Optimization and its Applications 73. Springer, pp. 33-60. ISBN: 978-1-4614-4468-8.
Conference papers
Becerra, V.M. (2010). "Solving complex optimal control problems at no cost with PSOPT". Proc. IEEE Multi-conference on Systems and Control, Yokohama, Japan, September 7-10, 2010, pp. 1391-1396.
Ceriotti, M. and McInnes, C.R. (2010) "A near term pole-sitter using hybrid solar sail propulsion". In: 2nd International Symposium on Solar Sailing, ISSS 2010, 20-22 July 2010, New York, USA.
Ceriotti, M. and McInnes, C.R. (2010) "An earth pole-sitter using hybrid propulsion". In: AIAA/AAS Astrodynamics Specialist Conference 2010, 02-05 Aug 2010, Toronto, Canada.
Ceriotti, M. and McInnes, C.R. (2010) "Hybrid solar sail and SEP propulsion for novel Earth observation missions". In: 61st International Astronautical Congress, IAC 2010, 27 September - 1 October 2010, Prague, Czech Republic.
Heiligers, J. (2010) "Displaced geostationary orbits using hybrid low-thrust propulsion". In: 61st International Astronautical Congress, IAC 2010, 27 Sept - 1 Oct 2010, Prague, Czech Republic.
S. Martin, N. Hillier and P. Corke (2010), "Practical application of pseudospectral optimization to robot path planning". Proceedings of the 2010 Australasian Conference on Robotics & Automation, 1-3 December, 2010, Brisbane, Australia.
Heiligers, J., Ceriotti, M., McInnes, C. R., Biggs, J. D., “Design of Optimal Earth Pole-Sitter Transfers Using Low-Thrust Propulsion”, 62nd International Astronautical Congress, 3 – 7 October, Cape Town, South Africa, 2011.
S. Martin and P. Corke. "Path Planning Using Surface Shape and Ground Properties". Proceedings of the 2011 Australian Conference on Robotics and Automation, Melbourne, 7-9 December, 2011.
Heiligers, J., Ceriotti, M., McInnes, C., and Biggs, J., “Design of optimal transfers between North and South Pole-sitter orbits”, 22nd AAS/AIAA Spaceflight Mechanics Meeting, 29 January – 2 February 2012, Charleston, South Carolina.
Heiligers, J., Ceriotti, M., McInnes, C., and Biggs, J., “Mission analysis and systems design of a near-term and far-term pole-sitter mission”, 1st IAA Conference on Dynamics and Control of Space Systems, 19 – 21 March 2012, Porto, Portugal.
Sarli, B, Winter, O, Paglione, P. and Vieira Neto, E. "Strategies for Exploring the triple system 2001SN263 - Target of the ASTER Mission", 39th COSPAR Scientific Assembly, Mysore, India. Abstract B0.9-13-12, p.1680, July 2012.
Gruning, T.; Rauh, A.; Aschemann, H., "Feedforward control design for a four-rotor UAV using direct and indirect methods," Methods and Models in Automation and Robotics (MMAR), 2012 17th International Conference on , vol., no., pp.439,444, 27-30 Aug. 2012. doi: 10.1109/MMAR.2012.6347849
Heiligers, J., and McInnes, C.R., 2013, Agile Solar Sailing in Three-Body Problem: Motion between Artificial Equilibrium Points, 64th International Astronautical Congress, Beijing, China
Heiligers, J., Diedrich, B., Derbes, B., and McInnes, C.R, 2014, Sunjammer: Preliminary End-to-End Mission Design, AIAA/AAS Astrodynamics Specialist Conference, San Diego, California, USA
Heiligers, J., and McInnes, C.R., 2014, Novel Solar Sail Mission Concepts for Space Weather Forecasting, 24th AAS/AIAA Space Flight Mechanics Meeting, Santa Fe, New Mexico, USA
M. Böck, M. Plainer, and A. Kugi, “Evaluation of efficiently generating fast robot trajectories under geometric and system constraints”, in Proceedings of the 7th IFAC Symposium on Mechatronic Systems, Sep. 2016, pp. 395–402.doi:10.1016/j.ifacol.2016.10.586
Parrish, Nathan & Parker, Jeffrey & Hughes, Steven & Heiligers, Jeannette. Low-Thrust Transfers from Distant Retrograde Orbits to L2 Halo Orbits in the Earth-Moon System. Proceedings of the International Conference on Astrodynamics Tools and Techniques: Darmstadt, Germany. 14-17 March 2016.
C. Blouin, E. Lanteigne and W. Gueaieb, "Optimal control for the trajectory planning of micro airships", 2017 International Conference on Unmanned Aircraft Systems (ICUAS), Miami, FL, USA, pp. 885-892, 2017.
Ryota Mori, "Fuel saving by gradual climb procedure", Seventh SESAR Innovation Days, 28th – 30th November, 2017
Reports
Steven, Holmes, UGHES, Kris P Jeremy, NITTEL, Stevens Wendy, HOAN, Cantone Marie Claire, ONWAY and C Darrel. “BENCHMARKING THE COLLOCATION STAND-ALONE LIBRARY AND TOOLKIT ( CSALT ).” (2017). NASA Goddard Space Flight Center.
Theses
E. Brendel, "Optimal Control of Milling Industrial Robots", Master's Thesis (in German), Technische Universitat Darmstadt, Germany, August 2011.
K. Kang. "Online optimal obstacle avoidance for rotary-wing autonomous unmanned aerial vehicles". PhD Thesis, Georgia Institute of Technology, USA, 2012.
O. Ogunlowore. "Real time motion planning for manipulator robots under dynamic environments: an optimal control approach"., PhD Thesis, University of Waterloo, Waterloo, Ontario, Canada, 2013.
Asprion, J. "Optimal control of diesel engines", Dr. Sc. Thesis, ETH Zurich, Diss. ETH No. 21593, 2013.
M. Zhou. "Trajectory optimization for fuel cell powered UAVs", PhD Thesis, Georgia Institute of Technology, USA, 2013.
P. De Jong, "Continuous descent operations using energy principles". PhD Thesis. Delft University of Technology, The Netherlands, 2014.
Ghazaei, M. (2016). On Trajectory Generation for Robots. PhD Thesis. Lund, Sweden: Department of Automatic Control, Lund Institute of Technology, Lund University
R. T. K. Wong, "Speed control for low energy buses". PhD Thesis. University of Oxford, 2017.
Afroza Shirin, “Optimal Control Strategies for Complex Biological Systems”, PhD dissertation, University of New Mexico, 2019.
Carr, Ryan W., "Optimal Control Methods for Missile Evasion". PhD dissertation. Air Force Institute of Technology. Theses and Dissertations. 3692, 2017.