基于高斯伪谱法的飞机下降段轨迹优化

Approach trajectory optimization for aircraft using Gauss pseudo-spectral method

以大型运输机为研究对象,进行风干扰下的飞机下降段轨迹优化。通过对飞机下降过程的分析,建立了飞机的运动学模型、油耗模型和大气模型,得出了问题的目标函数和约束。运用高斯伪谱法把最优控制问题转化为非线性规划问题,并用序列二次规划求解非线性规划问题。仿真计算得到飞机最短下降时间的最优轨迹,讨论了不同的成本指数对下降时间和燃油消耗的影响。仿真结果表明,成本指数越大,飞机下降时间越短,燃油消耗越多。

With the large transport aircraft as the research object,this paper focuses on trajectory optimization in approach airspace under disturbance of wind. By analyzing of the approach stage,the dynamitic model,oil consumption model and aerodynamic force model of the aircraft were built. Then,the cost function and constraints of trajectory problem were proposed. The optimal control was translated into a nonlinear programming problem（ NLP） by Gauss pseudo-spectral method,and the NLP was solved with the sequential quadratic programming. The optimal trajectory of the shortest descent time was obtained by simulating calculation. Meanwhile,this paper discussed the effect of the different cost indexes on descent time and fuel consumption. Simulation results show that the descent time is less when the cost index is high and fuel consumption is more.