Guess-Free Trajectory Optimization

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dc.contributor.authorGong, Qi
dc.contributor.authorRoss, I. Michael
dc.contributor.corporateOptimal Guidance and Control Laboratory
dc.dateAugust 18-21, 2008
dc.date.accessioned2013-03-07T21:43:05Z
dc.date.available2013-03-07T21:43:05Z
dc.date.issued2008-08-18
dc.descriptionThe article of record as published may be located at http://dx.doi.org/10.2514/6.2008-6273en_US
dc.descriptionAIAA/AAS Astrodynamics Specialist Conference and Exhibit ; Paper no. AIAA-2008-6273, Honolulu, Hawaii, 2008en_US
dc.description.abstractTrajectory optimization is an open-loop optimal control problem. The necessary conditions for optimal control are easy to generate by way of Pontryagin's Principle. Although these necessary conditions are powerful analysis tools, the curse of complexity has long been a major obstacle to solving the resulting boundary value problem. The Convector Mapping Principle overcomes this curse by implying that an optimal control problem is solvable if idealization is commuted with discretization. This solvability is predicated through two notions of convergence: one related to the solution and another to the algorithm. We design an elastic programming technique to exploit the divergences between these two notions of convergence while harnessing their coupling to propel a spectral algorithm. The combination of these concepts generates a globally convergent algorithm under mild conditions. In meeting the mild assumptions required of this guess-free optimization technique, the problem must be reasonably bounded and reasonably scaled. Both these requirements can be easily met for a very large family of practical problems in engineering through a new computational interpretation of the adjoins that provides useful equations for balancing the primal problem.en_US
dc.description.distributionstatementApproved for public release; distribution is unlimited.
dc.description.funderNAen_US
dc.identifier.urihttps://hdl.handle.net/10945/29657
dc.publisherAmerican Institute of Aeronautics and Astronautics (AIAA)
dc.relation.ispartofAIAA/AAS Astrodynamics Specialist Conference and Exhibit 18 - 21 August 2008, Honolulu, Hawaii
dc.relation.ispartofseriesFaculty & Researcher Publications
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.subject.authorTrajectory optimizationen_US
dc.subject.authorPontryagin's Principleen_US
dc.titleGuess-Free Trajectory Optimizationen_US
dc.typeConference Paper
dspace.entity.typePublication
relation.isSeriesOfPublicationc2c3de57-d1f4-47b1-aa53-6f1c074e4c20
relation.isSeriesOfPublication.latestForDiscoveryc2c3de57-d1f4-47b1-aa53-6f1c074e4c20
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