Theory
Based on pseudospectral optimal control theory founded by Ross and his associates, DIDO utilizes unique expressions and objects 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. 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. 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.
Read more about this topic: DIDO (software)
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