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为了实现反临拦截弹中制导段的弹道在线优化,基于邻域最优控制(NOC)理论和改进间接高斯伪谱法(GPM)设计一种弹道在线生成算法.根据临近空间拦截作战特点设计弹道优化模型,基于NOC理论推导关于修正状态量和协态量的两点边值问题.对横截条件进行二阶变分,通过逆向递推将终端最优协态修正值表示成跟踪偏差和终端约束修正量的表达式.将拦截弹的当前状态量作为初始约束值,终端最优协态修正值作为干扰量,利用标称弹道数据,基于改进间接GPM求得控制修正量.仿真结果表明,所提出的方法可以快速生成一条修正弹道,且具有较高的终端修正精度.
In order to realize the on-line optimization of ballistic guidance of anti-projectile interceptor, a ballistic online generation algorithm is designed based on the theory of neighborhood optimal control (NOC) and modified indirect Gaussian pseudospectral method (GPM) Based on the NOC theory, the two-point boundary value problem for the modified state quantity and the co-state quantity is deduced.The second-order variation of the cross-section condition is performed and the optimal co-occurrence correction value of the terminal is expressed as the tracking deviation and the terminal by reverse recursion The constraint correction quantity expression is obtained by using the current state quantity of the interceptor as the initial constraint value and the terminal optimal co-state correction value as the interference quantity, and using the nominal ballistic data to obtain the control correction quantity based on the improved indirect GPM.The simulation results show that, The proposed method can quickly generate a correction trajectory, and has a high terminal correction accuracy.