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http://dx.doi.org/10.5139/JKSAS.2016.44.7.620

Successive Backward Sweep Method for Orbit Transfer Augmented with Homotopy Algorithm  

Cho, Donghyurn (Republic of Korea Air Force Academy)
Kim, Seung Pil (Republic of Korea Air Force Academy)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.44, no.7, 2016 , pp. 620-628 More about this Journal
Abstract
The homotopy algorithm provides a robust method for determining optimal control, in some cases the global minimum solution, as a continuation parameter is varied gradually to regulate the contributions of the nonlinear terms. In this paper, the Successive Backward Sweep (SBS) method, which is insensitive to initial guess, augmented with a homotopy algorithm is suggested. This approach is effective for highly nonlinear problems such as low-thrust trajectory optimization. Often, these highly nonlinear problems have multiple local minima. In this case, the SBS-homotopy method enables one to steadily seek a global minimum.
Keywords
Optimal Control; Homotopy Algorithm; Successive Backward Sweep Method; Orbit Transfer;
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