In 2001, Ross created DIDO, a software package for solving optimal control problems.[38][39][40] Powered by pseudospectral methods, Ross created a user-friendly set of objects that required no knowledge of his theory to run DIDO. This work was used in on pseudospectral methods for solving optimal control problems.[41] DIDO is used for solving optimal control problems in aerospace applications,[42][43] search theory,[44] and robotics. Ross' constructs have been licensed to other software products, and have been used by NASA to solve flight-critical problems on the International Space Station.[45]
Flight contributions
In 2006, NASA used DIDO to implement zero propellant maneuvering[46] of the International Space Station. In 2007, SIAM News printed a page 1 article[45] announcing the use of Ross' theory. This led other researchers[41] to explore the mathematics of pseudospectral optimal control theory. DIDO is also used to maneuver the Space Station and operate various ground and flight equipment to incorporate autonomy and performance efficiency for nonlinear control systems.[29]
Awards and distinctions
In 2010, Ross was elected a Fellow of the American Astronautical Society for "his pioneering contributions to the theory, software and flight demonstration of pseudospectral optimal control." He also received (jointly with Fariba Fahroo), the AIAA Mechanics and Control of Flight Award for "fundamentally changing the landscape of flight mechanics". His research has made headlines in SIAM News,[45]IEEE Control Systems Magazine,[47]IEEE Spectrum,[34] and Space Daily.[48]
1 2 Michael Ross, I.; Fahroo, Fariba (2001). "A Pseudospectral Transformation of the Convectors of Optimal Control Systems". IFAC Proceedings Volumes. 34 (13): 543–548. doi:10.1016/S1474-6670(17)39048-1.
↑ Ross, I. Michael; Fahroo, Fariba (2004). "Legendre Pseudospectral Approximations of Optimal Control Problems". New Trends in Nonlinear Dynamics and Control and their Applications. Lecture Notes in Control and Information Sciences. Vol.295. pp.327–342. doi:10.1007/978-3-540-45056-6_21. ISBN978-3-540-40474-3.
1 2 Ross, M.I.; Fahroo, F. (2004). "Discrete verification of necessary conditions for switched nonlinear optimal control systems". Proceedings of the 2004 American Control Conference. pp.1610-1615 vol.2. doi:10.23919/ACC.2004.1386807. ISBN0-7803-8335-4.
↑ Ross, I. M.; Park, S. Y.; Porter, S. E. (2001). "Gravitational Effects of Earth in Optimizing Delta-V for Deflecting Earth-Crossing Asteroids". Journal of Spacecraft and Rockets. 38 (5): 759–764. doi:10.2514/2.3743. S2CID123431410.
↑ Park, S. Y.; Ross, I. M. (1999). "Two-Body Optimization for Deflecting Earth-Crossing Asteroids". Journal of Guidance, Control and Dynamics. 22 (3): 415–420. Bibcode:1999JGCD...22..415P. doi:10.2514/2.4413.
↑ Hurni, Michael A.; Sekhavat, Pooya; Ross, I. Michael (2010). "An Info-Centric Trajectory Planner for Unmanned Ground Vehicles". Dynamics of Information Systems. Springer Optimization and Its Applications. Vol.40. pp.213–232. doi:10.1007/978-1-4419-5689-7_11. ISBN978-1-4419-5688-0.
↑ Gong, Q.; Lewis, L. R.; Ross, I. M. (2009). "Pseudospectral Motion Planning for Autonomous Vehicles". Journal of Guidance, Control and Dynamics. 32 (3): 1039–1045. Bibcode:2009JGCD...32.1039G. doi:10.2514/1.39697.
↑ I. M. Ross, H. Yan and F. Fahroo, "A Curiously Outlandish Problem in Orbital Mechanics," American Astronautical Society, AAS Paper 01-430, July–Aug. 2001
↑ Ross, I. M.; Fahroo, F. (2006). "Issues in the Real-Time Computation of Optimal Control". Mathematical and Computer Modelling. 43 (9–10): 1172–1188. doi:10.1016/j.mcm.2005.05.021.
↑ Ross, I. M.; Sekhavat, P.; Fleming, A.; Gong, Q. (2008). "Optimal Feedback Control: Foundations, Examples and Experimental Results for a New Approach". Journal of Guidance, Control and Dynamics. 31 (2): 307–321. Bibcode:2008JGCD...31..307R. CiteSeerX10.1.1.301.1423. doi:10.2514/1.29532.
↑ I. M. Ross, R. J. Proulx, and M. Karpenko, "Unscented Optimal Control for Space Flight," Proceedings of the 24th International Symposium on Space Flight Dynamics (ISSFD), May 5–9, 2014, Laurel, MD.
↑ Ross, I. M. (1991). "Aerobang: A New Synergetic Plane-Change Maneuver". Advances in the Astronautical Sciences: Astrodynamics 1991. 76: 1789–1808.
↑ Ross, I. M. (1997). "Some Necessary Conditions for the Optimality of Synergetic Maneuvers". Advances in the Astronautical Sciences: Spaceflight Mechanics 1997. 95: 569–581.
1 2 Ross, I. M.; Karpenko, M. (2012). "A Review of Pseudospectral Optimal Control: From Theory to Flight". Annual Reviews in Control. 36 (2): 182–197. doi:10.1016/j.arcontrol.2012.09.002.
1 2 3 Kang, Wei; Ross, I. Michael; Gong, Qi (2008). "Pseudospectral Optimal Control and Its Convergence Theorems". Analysis and Design of Nonlinear Control Systems. pp.109–124. doi:10.1007/978-3-540-74358-3_8. ISBN978-3-540-74357-6.
1 2 B. S. Mordukhovich, Variational Analysis and Generalized Differentiation, I: Basic Theory, Vol. 330 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] Series, Springer, Berlin, 2005.
1 2 3 Kang, Wei (2010). "Rate of convergence for the Legendre pseudospectral optimal control of feedback linearizable systems". Journal of Control Theory and Applications. 8 (4): 391–405. doi:10.1007/s11768-010-9104-0.
↑ Williams, Paul (2004). "Application of Pseudospectral Methods for Receding Horizon Control". Journal of Guidance, Control, and Dynamics. 27 (2): 310–314. Bibcode:2004JGCD...27..310W. doi:10.2514/1.5118.
↑ Ross, Isaac (2020). "Enhancements to the DIDO Optimal Control Toolbox". arXiv:2004.13112 [math.OC].
1 2 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.4128–4142. doi:10.1109/CDC.2007.4435052. ISBN978-1-4244-1497-0.
↑ A. M. Hawkins, Constrained Trajectory Optimization of a Soft Lunar Landing From a Parking Orbit, S.M. Thesis, Dept. of Aeronautics and Astronautics, Massachusetts Institute of Technology, 2005. http://dspace.mit.edu/handle/1721.1/32431
↑ J. R. Rea, A Legendre Pseudospectral Method for Rapid Optimization of Launch Vehicle Trajectories, S.M. Thesis, Dept. of Aeronautics and Astronautics, Massachusetts Institute of Technology, 2001. http://dspace.mit.edu/handle/1721.1/8608
↑ Stone, Lawrence; Royset, Johannes; Washburn, Alan (2016). Optimal Search for Moving Targets. Switzerland: Springer. pp.155–188. ISBN978-3-319-26897-2.
1 2 3 W. Kang and N. Bedrossian, "Pseudospectral Optimal Control Theory Makes Debut Flight", SIAM News, Vol. 40, Page 1, 2007.
↑ N. S. Bedrossian, S. Bhatt, W. Kang, and I. M. Ross, Zero-Propellant Maneuver Guidance, IEEE Control Systems Magazine, October 2009 (Feature Article), pp 53–73.
↑ TRACE Spacecraft's New Slewing Procedure, Space Daily, December 28, 2010
This page is based on this Wikipedia article Text is available under the CC BY-SA 4.0 license; additional terms may apply. Images, videos and audio are available under their respective licenses.