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dc.contributor.authorWilcox, Lucas
dc.contributor.authorKang, Wei
dc.dateJanuary 2015
dc.date.accessioned2016-05-09T21:43:19Z
dc.date.available2016-05-09T21:43:19Z
dc.date.issued2015-01
dc.identifier.citationAIAA SciTech 5-9 January 2015, Kissimmee, Florida AIAA Guidance, Navigation, and Control Conference, AIAA 2015-2009en_US
dc.identifier.urihttp://hdl.handle.net/10945/48654
dc.descriptionThe article of record as published may be found at http://dx.doi.org/10.2414/62015-2009en_US
dc.description.abstractSolving Hamilton-Jacobi-Bellman (HJB) equations is essential in feedback optimal con- trol. Using the solution of HJB equations, feedback optimal control laws can be imple- mented in real-time with minimum computational load. However, except for systems with two or three state variables, numerically solving HJB equations for general nonlinear sys- tems is unfeasible due to the curse of dimensionality. In this paper, we develop a new computational method of solving HJB equations. The method is causality free, which en- joys the advantage of perfect parallelism on a sparse grid. Compared with dense grids, a sparse grid has a signi cantly reduced size which is feasible for systems with relatively high dimensions, such as 6-D HJB equations for the attitude control of rigid bodies. The method is applied to the optimal attitude control of a satellite system using momentum wheels. The accuracy of the numerical solution is veri ed at a set of randomly selected sample points.en_US
dc.description.sponsorshipAFOSRen_US
dc.description.sponsorshipNRLen_US
dc.format.extent10 p.en_US
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.titleA Causality Free Computational Method for HJB Equations with Application to Rigid Body Satellitesen_US
dc.typeConference Paperen_US
dc.contributor.corporateNaval Postgraduate School (U.S.)en_US
dc.contributor.departmentApplied Mathematicsen_US


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