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首页> 外文期刊>Aerospace and Electronic Systems, IEEE Transactions on >Specific Length Trajectories Optimised for Maximum Acceleration using Conic Parameterised Clothoids
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Specific Length Trajectories Optimised for Maximum Acceleration using Conic Parameterised Clothoids

机译：使用圆锥形参数化类波线优化了最大加速度的特定长度轨迹

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摘要

One current method of aircraft flightpath generation employs multi-segmented straight trajectories with each consecutive pair of segments filleted with arcs of constant radius. A difficulty of infeasibility immediately arises. In order for an aircraft to make the transition from a straight to a curved path segment (or vice versa) there is a physical requirement for a step acceleration, implying an infinite jerk. Clothoid curves provide a solution and have been investigated to fillet the consecutive segments. However, in this case, the mathematical definition of the clothoid is in terms of an integral that precludes closed-form solutions for critical guidance parameters. The attractiveness of the clothoid is to solve the physical infeasibility problem, however the mathematical intractability inherent in the approach has attracted limited attention despite being recognised as a major concern through early experiments. A method is presented here where double clothoid curves are used to fillet consecutive segments. This work goes beyond present practice to provide closed form solutions by using the hyperbola as a clothoid facsimile. Acceleration constraints have been enforced, both accumulative and maximum, and both the reference bank angle and bank angle rate have been expressed analytically in closed-form in terms of hyperbolic parameters. The solution can be optimised in terms of accumulative acceleration and path length, whilst simultaneously enforcing maximum acceleration constraints. This method of trajectory generation is attractive for implementation with air traffic management separation assurance, tunnel-in-the-sky, and other proposed cockpit display systems.
机译：飞机飞行路径生成的一种当前方法是采用多段直线轨迹，每对连续的线段对均以恒定半径的圆弧填充。不可行的困难立即出现。为了使飞机从笔直的路径段过渡到弯曲的路径段（反之亦然），需要逐步加速，这意味着无限的加速度。类固醇曲线提供了一种解决方案，并已进行了研究以对连续段进行圆角化。但是，在这种情况下，回旋曲线的数学定义是根据积分的，它排除了关键指导参数的闭式解。回旋涡的吸引力在于解决物理上的不可行问题，但是尽管通过早期实验已被认为是主要关注的问题，但是该方法固有的数学难处理性吸引了有限的关注。这里介绍了一种方法，其中双回旋曲线用于对连续段进行圆角处理。这项工作超出了当前的实践，通过使用双曲线作为回旋状传真来提供封闭形式的解决方案。加速约束已被强制执行，无论是累积的还是最大的，参考堤角和堤角速率均以双曲线参数的形式用封闭形式解析表示。可以在累积加速度和路径长度方面优化该解决方案，同时加强最大加速度约束。这种轨迹生成方法对于空中交通管理隔离保证，空中隧道以及其他建议的座舱显示系统的实施具有吸引力。

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