基于高斯伪谱法的吸气式高超声速飞行器爬升弹道优化研究

吸气式高超声速飞行器爬升弹道设计是其总体设计的一个重要问题。这里提出一种基于高斯伪谱法的弹道优化方法,用于解决该问题。以末端弹道倾角为性能指标,飞行攻角为设计变量,建立了飞行器纵平面弹道优化模型。通过高斯伪谱法对状态变量和控制变量进行离散,将最优控制问题转化为非线性规划问题,再利用序列二次规划算法对其进一步求解。仿真结果表明,该方法收敛域大,对初值不敏感,设计精度高,是吸气式高超声速飞行器方案弹道优化的重要方法。

Research on Climbing Trajectory Optimization of Air-breathing Hypersonic Vehicle Based on Gauss Pseudospectral Method

The climbing trajactory optimization of the air-breathing hypersonic vehicle has been a major problem in its overall design. A ballistic optimization method based on Gaussian pseudo-spectral method is presented to solve this problem. Taking the end trajectory inclination as the performance index and the flight attack angle as the design variables, the longitudinal plane trajectory optimization model of the aircraft is established. The state variables and the control variables are discretized through Gaussian pseudospectral method, and the optimal control problem is transformed into nonlinear programming problem. Then the sequential quadratic programming algorithm is used to further solve it. The simulation results show that the method has a large convergence domain and high design accuracy, and is insensitive to the initial value. It can be an important method for trajectory optimization of air-breathing hypersonic vehicle.