DIDO (software)

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DIDO is a MATLAB optimal control software for solving general-purpose hybrid optimal control problems.[1][2] Powered by the pseudospectral optimal control theory of Ross and Fahroo,[3] the general-purpose optimal control program is named after Dido, the legendary founder and first queen of Carthage who is famous in mathematics for her remarkable solution to a constrained optimal control problem even before the invention of calculus.

Theory

Based on pseudospectral optimal control theory founded by Ross and his associates,[4] DIDO utilizes unique expressions and objects[1] that facilitate one to formulate and solve optimal control problems in a manner that is similar to writing the problem on a piece of paper.[5] The covector mapping principle of Ross and Fahroo eliminates traditional difficulties in solving for the costates in optimal control problems; thus, DIDO generates spectrally accurate solutions [6] whose extremality can be verified using Pontryagin's Minimum Principle.[1] Because no knowledge of pseudospectal methods is necessary to use DIDO, it is often used as a mathematical tool for solving optimal control problems. That is, a solution obtained from DIDO is treated as a candidate solution for the application of Pontryagin's minimum principle as a necessary condition.

Applications

DIDO is used world wide in academia, industry and government laboratories.[7] Thanks to NASA, DIDO was flight-proven in 2006.[4] On November 5, 2006, NASA used DIDO to maneuver the International Space Station to perform the Zero Propellant Maneuver. The Zero Propellant Maneuver was discovered by Nazareth Bedrossian using DIDO. Watch a video of this historic maneuver.

Since this historic flight demonstration, DIDO has been used in operate the International Space Station and other NASA spacecraft.[8] It is also used in other industries to generate real-time optimal solutions.[7][1]

The youtube videos DIDO: Part 1 and DIDO: Part 2 show more applications and explain some of the new mathematics.

History

Invented by Ross, DIDO was first produced in 2001[9] and has many firsts to its credit:[3] [10] [11] [12] [13] [14] [8]

  • First general-purpose object-oriented optimal control software
  • First general-purpose pseudospectral optimal control software
  • First flight-proven general-purpose optimal control software
  • First embedded general-purpose optimal control solver

Versions

DIDO is a professional optimal control solver; however, several different versions of DIDO are available:

In addition the complete source code for DIDO is also available so that an end user may customize it for any application.

See also

References

  1. ↑ 1.0 1.1 1.2 1.3 Ross, I. M. A Primer on Pontryagin's Principle in Optimal Control, Second Edition, Collegiate Publishers, San Francisco, 2015.
  2. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  3. ↑ 3.0 3.1 Lua error in package.lua at line 80: module 'strict' not found. Cite error: Invalid <ref> tag; name "RF1" defined multiple times with different content
  4. ↑ 4.0 4.1 Lua error in package.lua at line 80: module 'strict' not found.
  5. ↑ 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
  6. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  7. ↑ 7.0 7.1 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.
  8. ↑ 8.0 8.1 L. Keesey, "TRACE Spacecraft's New Slewing Procedure." NASA's Goddard Space Flight Center. National Aeronautics and Space Administration. Dec. 20, 2010. (Sept. 11, 2011) http://www.nasa.gov/mission_pages/sunearth/news/trace-slew.html.
  9. ↑ 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
  10. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  11. ↑ W. Kang and N. Bedrossian, "Pseudospectral Optimal Control Theory Makes Debut Flight, Saves nasa $1m in Under Three Hours," SIAM News, 40, 2007.
  12. ↑ 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.
  13. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  14. ↑ National Aeronautics and Space Administration. "Fact Sheet: International Space Station Zero-Propellant Maneuver (ZPM) Demonstration." June 10, 2011. (Sept. 13, 2011) http://www.nasa.gov/mission_pages/station/research/experiments/ZPM.html

Further reading

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External links

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