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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。
In order to solve the ascending section trajectory optimization of aspirated hypersonic vehicle, a trajectory optimization method based on feature parameters is proposed and studied. Firstly, the dynamic model of the aspirated hypersonic vehicle is established, and the aerodynamic force and thrust model are given. According to the trajectory characteristics of ascending section, a value model of control variables based on exponential function and polynomial is established. The model depends on several characteristic parameters, so that an optimal control problem solving functional can be transformed into a nonlinear programming problem for solving characteristic parameters, and a sequence quadratic programming algorithm is used to solve the problem. According to the sensitivity of initial value, the initial value selection method based on genetic algorithm and the manual selection method based on physical meaning are proposed.