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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。
In order to achieve the optimal targeting of escape targets in war confrontation, a control method based on Gaussian pseudospectral method (GPM) is proposed. The agility and multi-constraint aircraft dynamics equations are established. The two-phase target aiming condition expression is deduced and the optimization indexes are designed. Based on this, the optimal target aiming is summarized as the multi-order optimal control with unknown constraint time problem. Gaussian pseudospectral method is used to discretize the continuous boundary value control problem and transform it into an equivalent nonlinear programming (NLP) problem. The initial value of the algorithm is solved by genetic algorithm (GA) and the quadratic programming (SQP ) Algorithm to solve. The simulation results show that the designed control method can effectively target the target and meet the condition of launching the weapon.