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DIDO (optimal control) : ウィキペディア英語版 | DIDO (software) DIDO is a (MATLAB optimal control software ) for solving general-purpose hybrid optimal control problems.〔Ross, I. M. ''A Primer on Pontryagin's Principle in Optimal Control'', Second Edition, Collegiate Publishers, San Francisco, 2015.〕 Powered by the pseudospectral optimal control theory of Ross and Fahroo, 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, DIDO utilizes unique expressions and objects〔Ross, I. M. ''A Primer on Pontryagin's Principle in Optimal Control'', Second Edition, Collegiate Publishers, San Francisco, 2015.〕 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.〔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 〕 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 whose extremality can be verified using Pontryagin's Minimum Principle.〔Ross, I. M. ''A Primer on Pontryagin's Principle in Optimal Control'', Second Edition, Collegiate Publishers, San Francisco, 2015.〕 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.
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