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一种采用自适应变终止结点的样条求解最优轨迹的新算法 被引量:1

A New Method Using Adaptive Varied Terminal-node Spline for Solving Trajectory Optimization
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摘要 探讨了采用样条函数求解弹道参数最优问题的优越性,提出了一种自适应变终止结点的样条插值新算法,用此算法对制导航弹的弹道轨迹进行优化,得到了非常接近实际最优轨迹的解,从而证明了此算法的有效性.此新算法的优点在于它可用于求解复杂模型的轨迹最优问题,对解决实际工程优化问题具有实用价值. The advantage of using spline function to evaluate the trajectory parameters optimization was discussed. A new method using adaptive varied terminal-node spline interpolation for solving trajectory optimization was proposed, and it was used to optimize the trajectory of guided bombs. The solution is approximate to the real optimization result, which proves the availability of the arithmetic. It can be used to solve the trajectory optimization of complex models, and it is helpful for solving the practical engineering optimization problem.
出处 《弹道学报》 CSCD 北大核心 2007年第4期30-33,共4页 Journal of Ballistics
关键词 轨迹最优 最优控制 样条插值 制导航弹 trajectory optimization optimization control spline interpolation guidance bomb
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参考文献4

  • 1Bryson A E Jr, Ho Y C. Applied optimal control [M]. New York: Hemisphere, 1975.
  • 2Conte S D, de Boor C. Elementary numerical analysis [M]. New York: McGraw-Hill,1991.
  • 3Lawrence H. Gradient optimization and nonlinear control[M]. New York: Wiley, 1976.150-198.
  • 4Rao S S. Optimization theory and application [M]. New Delhi: Wiley Eastern Limited, 1984:654-689.

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