Three-Dimensional Aircraft Conflict Resolution Based on Smoothing Methods

Three-Dimensional Aircraft Conflict Resolution Based on Smoothing Methods
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基于平滑方法的三维飞机冲突解决

DOI:
10.2514/1.g001726
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发表时间:
2016-02
期刊:
Journal of Guidance, Control, and Dynamics
影响因子:
--
通讯作者:
Lorenz T. Biegler
Lorenz T. Biegler
中科院分区:
其他
文献类型:
--
作者:
Weifeng Chen;Jinyin Chen;Zhijiang Shao;Lorenz T. Biegler

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自动化和最佳冲突预测和解决策略的发展是成功实施下一代航空运输系统概念的最重要组成部分之一。本文研究的重点是三自由度非线性点质量模型描述的多飞行器之间的冲突解决问题。提出了一种新的处理不可微析取冲突避免约束的方法,该方法利用平滑函数来处理不可微析取冲突避免约束。因此,冲突解决问题作为一个最优控制问题,并通过Radau配置点的直接转录方法离散成一个非线性规划问题。通过灵敏度分析,使用平滑函数得到的近似误差进行了检查。在逼近误差与光滑参数之间建立了一种可估计的线性关系,这表明该方法是可行的。
The development of an automated and optimal conflict predicting and resolution strategy is one of the most important components in successfully implementing the Next Generation Air Transportation System concept. The conflict resolution problem, which occurs between multiple aircraft described by a three-degree-of-freedom nonlinear point-mass model, is the focus of this study. A novel method for handling nondifferentiable disjunctive conflict avoidance constraints is developed by using smoothing functions, which are constructed by integrating a probability density function. Thus, the conflict resolution problem is posed as an optimal control problem and discretized into a nonlinear programming problem via the direct transcription approach with a Radau collocation point. The approximation error obtained using the smoothing functions is examined through sensitivity analysis. An estimable linear relationship is established between the approximation error and the smoothing parameter, which indicates that the a...
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