紊流环境下四维轨迹优化的伪谱方法研究

Four-dimension trajectory optimization for turbulence avoidance using pseudo-spectra methods

为了提高紊流条件下飞机的飞行安全,提出了一种基于伪谱方法的四维轨迹优化方法。建立了不确定环境中的飞机动力学模型和紊流模型,并设计了目标函数和约束条件;通过伪谱法将不确定环境下的四维轨迹优化问题转化为非线性优化问题,然后应用序列二次规划对该问题进行求解;讨论了不同的配点数对优化结果的影响,分析比较了GPM,LPM和RPM三种伪谱法的特点。仿真结果表明,紊流情况下,所提算法可以精确地找到四维飞行轨迹。

To improve the flight safety of aircraft in the presence of turbulence,4D trajectories optimization based on pseudo-spectra method was proposed. Considered the characteristic of 4D trajectories optimization for turbulence avoidance,aircraft dynamic model and turbulence Gaussian distribution model were elaborated,the objective function and constraints were designed. The 4D trajectories optimization was transformed into a nonlinear programming issue by using pseudo-spectra method,and the sequential quadratic programming（ SQP） algorithm was applied to resolve this nonlinear programming problem. Influence of the collocation points on optimization results was discussed,and the characters of the pseudospectra methods such as GPM,LPM and RPM were analyzed. Simulation results show that the 4D trajectories for turbulence avoidance can be generated accurately using the proposed algorithm.