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Entry Trajectory Optimization by Second-Order Cone Programming

机译：二阶锥规划的进入轨迹优化

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摘要

Convex optimization has found wide applications in recent years due to its unique theoretical advantages and the polynomial-time complexity of state-of-the-art solution algorithms for convex programming. This paper represents an attempt to apply second-order cone programming, a branch of convex optimization, to the class of highly nonlinear trajectory optimization problems in entry flight. The foremost challenge in applying convex optimization in most aerospace engineering problems lies in the nonlinearity and nonconvexity of the problem. Exclusive reliance on linearization does not always work well, as is the case in entry trajectory optimization. This paper focuses on how to formulate realistic, highly constrained entry trajectory optimization problems in a fashion suitable to be solved by second-order cone programming with a combination of successive linearization and relaxation techniques. Rigorous analysis is conducted to support the soundness of the approach. Numerical demonstrations are provided to show the efficacy and effectiveness of the proposed method.
机译：凸优化由于其独特的理论优势和用于凸编程的最新解决方案算法的多项式时间复杂性，近年来已得到广泛应用。本文提出了一种尝试，将二阶锥规划（凸优化的一个分支）应用于进阶飞行中的一类高度非线性的轨迹优化问题。在大多数航空工程问题中应用凸优化的首要挑战在于问题的非线性和非凸性。像进入轨迹优化那样，仅依靠线性化并不总是能很好地工作。本文着重于如何以适合于二阶锥规划结合连续线性化和松弛技术相结合的方式来制定现实的，高度受限的进入轨迹优化问题。进行严格的分析以支持该方法的合理性。数值模拟表明了该方法的有效性。

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  • 来源
    《Journal of guidance, control, and dynamics》 |2016年第2期|227-241|共15页
  • 作者

    Xinfu Liu; Zuojun Shen; Ping Lu;

  • 作者单位

    Beihang University, 100191 Beijing, People's Republic of China;

    Beihang University, 100191 Beijing, People's Republic of China;

    Iowa State University, Ames, Iowa 50011-2271;

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  • 正文语种 eng
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