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  • 1
    Publication Date: 2019-07-13
    Description: Two existing function space algorithms, Davidon and projected gradient, are modified so that they may handle directly control variable inequality constraints. A third quasi-Newton type algorithm developed by C. G. Broyden is extended to optimal control problems. The Broyden algorithm is further modified so that it also may handle directly control variable inequality constraints. These methods along with a pure gradient and two conjugate gradient algorithms are simulated on three relatively simple yet representative bounded control problems, two of which have singular subarcs. Overall the Broyden algorithm was found to be superior. The most notable result of the study was the clear superiority of the Broyden and Davidon algorithms in producing a sharp interior control subarc.
    Keywords: MATHEMATICS
    Type: AAS PAPER 73-240 , Astrodynamics Conference; Jul 16, 1973 - Jul 18, 1973; Vail, CO; US
    Format: text
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