Accelerated gradient projection technique with application to rocket trajectory optimization

Speyer, Jason L.; Kelley, Henry J.; Levine, Nir; Denham, Walter F.

doi:10.1016/0005-1098(71)90077-x

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Projection-restoration1

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1973

2003

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Cited by 18 publications

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“…(2) to first order 0(x)+0,(x)&c = 0 (4) From Eq. (4), dx may be formally expressed as dx=-g x + g (5) where g x + is a pseudo inverse of g x and where, for brevity, the dependence of x has been dropped. Since p < n there exists a solution to Eq.…”

Section: Projection-restorationmentioning

confidence: 99%

Nonlinear Programing by Projection-Restoration Applied to Optimal Geostationary Satellite Positioning

Gruver¹,

Engersbach

1974

AIAA Journal

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This study is concerned with the development and application of a quasi-Newton descent algorithm for solving finite dimensional optimization problems subject to nonlinear equality and inequality constraints by the use of gradient projection and constraint restoration. The algorithm is applied to the positioning of a geostationary satellite which is interpreted as a problem of optimal TV-impulse orbital rendezvous.

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Section: Projection-restorationmentioning

confidence: 99%