Volume 28 Issue 7
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Article Navigation >  Journal of Aerospace Power  > 2013  >  28(7): 1659-1665
FENG Zhi-wei, ZHANG Qing-bin, TANG Qian-gang, ZHANG Yong-he. Node adaptive refinement for trajectory optimization based on second-generation wavelets[J]. Journal of Aerospace Power, 2013, 28(7): 1659-1665.
Citation: FENG Zhi-wei, ZHANG Qing-bin, TANG Qian-gang, ZHANG Yong-he. Node adaptive refinement for trajectory optimization based on second-generation wavelets[J]. Journal of Aerospace Power, 2013, 28(7): 1659-1665.
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Node adaptive refinement for trajectory optimization based on second-generation wavelets

  • 1.

    College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China

  • 2.

    Shanghai Institute of Microsystem and Information, Chinese Academy of Science, Shanghai 200050, China

  • Received Date: 2012-11-09
  • Publish Date: 2013-07-28
    Abstract
  • A mesh adaptive refinement method for solving trajectory optimization problem by using direct method based on second-generation wavelets was proposed to deal with the conflict between accuracy and efficiency. The original trajectory optimization problem was transformed into a nonlinear programming problem that was solved by standard nonlinear programming codes. Then the wavelet transformation of control or state function was performed, and the wavelet coefficients were obtained. A new node could be determined based on the magnitude of coefficients and the relationship between wavelet coefficients and dyadic nodes. The results demonstrate that the proposed method can balance accuracy of the solution and speed of computations by setting appropriate threshold of wavelet coefficients. Compared with the Gauss pseudospectral method software package, the number of nodes are reduced by 10% approximately, and the optimality accuracy is increased by an order of magnitude by using the method.

     

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