I. Michael Ross

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Isaac Michael Ross is a Distinguished Professor and Program Director of Control and Optimization at the Naval Postgraduate School in Monterey, CA. He has published a highly-regarded textbook on optimal control theory[1] and seminal papers in pseudospectral optimal control theory,[2][3][4][5][6] energy-sink theory,[7][8] the optimization and deflection of near-Earth asteroids and comets,[9][10]

attitude dynamics and control,[13] orbital mechanics,[14][15][16] real-time optimal control, [17][18]
unscented optimal control[19][20][21] and continuous optimization.[22][23][24] The Kang–Ross–Gong theorem,[25][26] Ross' π lemma, Ross' time constant, the Ross–Fahroo lemma, and the Ross–Fahroo pseudospectral method are all named after him.[27][28][29][30][31] According to a report published by Stanford University,[32] Ross is one of the world's top 2% of scientists.

Theoretical contributions

Although Ross has made contributions to energy-sink theory,

Pontryagin's minimum principle emerges as a consequence of the convergence of the discretization
. Together with F. Fahroo, W. Kang and Q. Gong, Ross proved a series of results on the convergence of pseudospectral discretizations of optimal control problems.[26] Ross and his coworkers showed that the Legendre and Chebyshev pseudospectral discretizations converge to an optimal solution of a problem under the mild condition of boundedness of variations.[26]

Software contributions

In 2001, Ross created

DIDO, a software package for solving optimal control problems.[34][35][36] 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.[37] DIDO is used for solving optimal control problems in aerospace applications,[38][39] search theory,[40] 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.[41]

Flight contributions

In 2006, NASA used

nonlinear control systems.[25]

Awards and distinctions

In 2010, Ross was elected a Fellow of the

IEEE Control Systems Magazine,[43] IEEE Spectrum,[30] and Space Daily.[44]

See also

References

  1. ^ I. M. Ross, A Primer on Pontryagin’s Principle in Optimal Control, Second Edition, Collegiate Publishers, San Francisco, CA, 2015.
  2. ^ a b I. M. Ross and F. Fahroo, A Pseudospectral Transformation of the Covectors of Optimal Control Systems, Proceedings of the First IFAC Symposium on System Structure and Control, Prague, Czech Republic, 29–31 August 2001.
  3. ^ I. M. Ross and F. Fahroo, Legendre Pseudospectral Approximations of Optimal Control Problems, Lecture Notes in Control and Information Sciences, Vol. 295, Springer-Verlag, 2003.
  4. doi:10.2514/1.3426
    .
  5. ^ a b I. M. Ross and F. Fahroo, Discrete Verification of Necessary Conditions for Switched Nonlinear Optimal Control Systems, Proceedings of the American Control Conference, Invited Paper, June 2004, Boston, MA.
  6. S2CID 7106469
    .
  7. S2CID 121987998
    .
  8. S2CID 122480792
    .
  9. S2CID 123431410
    .
  10. doi:10.2514/2.4413
    .
  11. ^ M. A. Hurni, P. Sekhavat, and I. M. Ross, "An Info-Centric Trajectory Planner for Unmanned Ground Vehicles," Dynamics of Information Systems: Theory and Applications, Springer Optimization and its Applications, 2010, pp. 213–232.
  12. doi:10.2514/1.39697
    .
  13. S2CID 120117410
    .
  14. doi:10.2514/2.5095
    .
  15. doi:10.2514/2.4951
    .
  16. ^ 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
  17. doi:10.1016/j.mcm.2005.05.021
    .
  18. doi:10.2514/1.29532
    .
  19. ^ 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.
  20. ^ I. M. Ross, R. J. Proulx, M. Karpenko, and Q. Gong, "Riemann–Stieltjes Optimal Control Problems for Uncertain Dynamic Systems," Journal of Guidance, Control, and Dynamics, Vol. 38, No. 7 (2015), pp. 1251-1263. doi: 10.2514/1.G000505.
  21. ^ I. M. Ross, R. J. Proulx, M. Karpenko, "Unscented guidance," American Control Conference, 2015, pp.5605-5610, 1–3 July 2015 doi: 10.1109/ACC.2015.7172217.
  22. ISSN 0377-0427
    .
  23. ISSN 2662-2556
    .
  24. ISSN 0377-0427
    .
  25. ^
    doi:10.1016/j.arcontrol.2012.09.002
    .
  26. ^ a b c W. Kang, I. M. Ross, Q. Gong, Pseudospectral optimal control and its convergence theorems, Analysis and Design of Nonlinear Control Systems, Springer, pp. 109–124, 2008.
  27. ^ a b 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.
  28. ^ a b c W. Kang, "Rate of Convergence for the Legendre Pseudospectral Optimal Control of Feedback Linearizable Systems", Journal of Control Theory and Application, Vol.8, No.4, 2010. pp.391-405.
  29. ^
    PMID 21245345
    .
  30. ^ a b N. Bedrossian, M. Karpenko, and S. Bhatt, "Overclock My Satellite: Sophisticated Algorithms Boost Satellite Performance on the Cheap", IEEE Spectrum, November 2012.
  31. ^
    doi:10.2514/1.34897
    .
  32. doi:10.17632/btchxktzyw.6
    .
  33. ^ P. Williams, "Application of Pseudospectral Methods for Receding Horizon Control," Journal of Guidance, Control and Dynamics, Vol.27, No.2, pp.310-314, 2004.
  34. S2CID 10469414
    .
  35. ^ B. Honegger, "NPS Professor's Software Breakthrough Allows Zero-Propellant Maneuvers in Space." Navy.mil. United States Navy. April 20, 2007. (Sept. 11, 2011) http://www.elissarglobal.com/wp-content/uploads/2011/07/Navy_News.pdf Archived 2016-03-04 at the Wayback Machine.
  36. arXiv:2004.13112 [math.OC
    ].
  37. ^ a b Q. Gong, W. Kang, N. Bedrossian, F. Fahroo, P. Sekhavat and K. Bollino, Pseudospectral Optimal Control for Military and Industrial Applications, 46th IEEE Conference on Decision and Control, New Orleans, LA, pp. 4128–4142, Dec. 2007.
  38. ^ 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
  39. ^ 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
  40. ISBN 978-3-319-26897-2
    .
  41. ^ a b c W. Kang and N. Bedrossian, "Pseudospectral Optimal Control Theory Makes Debut Flight", SIAM News, Vol. 40, Page 1, 2007.
  42. ^ "International Space Station Zero-Propellant Maneuver (ZPM) Demonstration (ZPM) - 07.29.14". NASA.
  43. ^ 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.
  44. ^ TRACE Spacecraft's New Slewing Procedure, Space Daily, December 28, 2010

External links

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