基于Gauss伪谱法的飞机最优目标瞄准控制

为实现战对抗时对逃逸目标的最优瞄准，提出了一种基于高斯伪谱法(GPM)的控制方法。建立了考虑敏捷性、多约束的飞机动态方程，推导了两阶段目标瞄准条件表达式，并设计优化指标，在此基础上将飞机最优瞄准概括为带约束终端时间未知的多阶最优控制问题。利用高斯伪谱法将此连续的边值最优控制问题离散并转化为等价的非线性规划(NLP)问题，通过遗传算法(GA)解算其初值，并应用序列二次规划(SQP)算法求解。仿真结果表明：所设计的控制方法能有效实现对目标的瞄准，满足武器发射条件。

Aircraft optimal target aiming control based on Gauss pseudospectral method

In order to realize aircraft optimal target aiming in the situation of combat duel, a control method based on Gauss Pseudospectral Method (GPM) was proposed. Taking agility and multi-constraint into consideration, the dynamic equation of the aircraft was modeled, the two-stage target aiming condition expression was deduced, and the optimal index was designed. Afterwards, the aircraft optimal aiming control was described as the multi-stage optimal control problem with constraint and unknown final time. The GPM was used to equally convert the continuous optimal boundary value problem to a discrete Nonlinear Programming (NLP) problem and the initial solution was preprocessed through Genetic Algorithm (GA), then, the Sequential Quadratic Programming (SQP) algorithm was applied to solve it. The simulation results show that it can realize target aiming effectively and satisfy weapon launch condition.