基于特征参数的吸气式高超声速飞行器上升段轨迹优化

A characteristic parameter trajectory optimization method for the ascent phase of the air-breathing hypersonic flight vehicle

针对吸气式高超声速飞行器上升段轨迹优化问题,提出并研究了基于特征参数的轨迹优化方法。首先,建立了吸气式高超声速飞行器动力学模型,给出了气动力和推力模型。根据上升段轨迹特性,建立了基于指数函数和多项式的控制变量的取值模型。该模型取决于若干特征参数,从而将一个求解泛函的最优控制问题转化为求解特征参数的非线性规划问题,并采用序列二次规划算法求解。针对初值敏感性,提出了基于遗传算法的初值选取方法,以及基于物理意义的手动选取方法。

A Characteristic Parameter Trajectory Optimization Method（CPTOM） for the ascent phase of the air-breathing vehicle was proposed and studied.The expression for aerodynamic force and thrust were specially studied,and the motion equations were founded.According to the characteristics of the ascent motion of air-breathing hypersonic flight vehicle（AHFV）,the control variable models based on exponential and polynomial functions were established.The models were determined by several characteristic parameters to be optimized.So the optimal control problem was translated to a nonlinear programming problem which can be calculated by the Sequence Quadric Programming（SQP）.Because of the sensitivity of the initial value for optimization,the Genetic Arithmetic（GA） and Manual Method（MM） were proposed for initial value guess.