Flight trajectory design in the presence of contrails: Application of a multiphase mixed-integer optimal control approach
Flight trajectory design in the presence of contrails: Application of a multiphase mixed-integer optimal control approach
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DOI：
10.1016/j.trc.2014.08.009
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发表时间：
2014-11
影响因子：
8.3
通讯作者：
M. Soler;Bo Zou;M. Hansen
中科院分区：
文献类型：
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作者：
M. Soler;Bo Zou;M. Hansen
研究了轨迹敏感环境下的四维航迹规划问题。我们确定的控制输入，引导飞机从最初的固定到最后的固定以下的水平路线的航路点，同时执行步骤爬升和下降，以尽量减少燃料消耗，二氧化碳排放，乘客旅行时间和持久的轨迹形成的整体飞行成本。将最优轨迹设计问题转化为一个多相混合整数最优控制问题，首先将未知的切换时间作为状态的一部分，然后采用Hermite-Simpson直接配置法，最后引入二元变量对决策进行建模，从而将最优轨迹设计问题转化为一个混合整数非线性规划问题。我们使用分支定界算法求解混合整数非线性规划。数值结果表明了该方法的有效性。
In this paper we study the 4D trajectory planning problem in a contrail sensitive environment. We identify the control inputs that steer the aircraft from the initial fix to the final fix following a horizontal route of waypoints while performing step climbs and descents, in order to minimize the overall flying cost of fuel consumption, CO 2 emissions, passenger travel time, and persistent contrail formation. The optimal trajectory design problem is formulated as a multiphase mixed integer optimal control problem, which is converted into a mixed integer non-linear program by first making the unknown switching times part of the state, then applying a Hermite–Simpson direct collocation method, and finally introducing binary variables to model the decision making. We solve the mixed-integer nonlinear program using a branch-and-bound algorithm. The numerical results show the effectiveness of the approach.