An Improved DMOC Method with Gradient Penalty Term

Lei Gao; Jie Yu Ding

doi:10.4028/www.scientific.net/AMR.945-949.2784

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 945-949An Improved DMOC Method with Gradient Penalty Term

An Improved DMOC Method with Gradient Penalty Term

Abstract:

An efficient method aimed at smooth and stable control forces for optimal control problem is described. Based on the native discrete mechanics and optimal control (DMOC) method, which focus mainly on the minimization of the total control forces, a gradient penalty term is introduced to cost functional to smooth the control forces. Then vibration of control forces is overcome by limiting the total gradient of the discrete control forces. With suitable discrete cost functional and constraints, the continuous optimal control problem is transformed to an equally finite dimensional form, which can be easily solved by standard algorithms. Finally, the numerical example of orbit transferring shows the effectiveness of the improved method.

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Periodical:

Advanced Materials Research (Volumes 945-949)

Pages:

2784-2787

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.945-949.2784

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Online since:

June 2014

Authors:

Lei Gao*, Jie Yu Ding

Keywords:

Cost Functional, Discrete Mechanics and Optimal Control, Gradient Penalty Term

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