基于动态调节时间的导弹编队逆最优控制算法

Inverse Optimal Control Algorithmof Missile Formation Based on Dynamic Tuning Time

针对导弹编队系统在动态调节时间指标约束下,生成理想编队队形的问题,提出一种新的导弹编队控制算法。该算法根据领弹与从弹的相对运动关系,建立系统状态方程,并将其转化为误差形式。基于逆最优控制理论,综合动态调节时间等约束条件,逆向得到最优控制量,从而保证编队队形的生成时间满足指标要求,各成员在形成理想位置关系的同时,速度趋于一致。仿真结果验证了算法的有效性,适用于领从结构导弹编队系统的总体设计。

Aiming at the problem of generating ideal missile formation under dynamic tuning time constraint,a new missile formation control algorithm is proposed.Inside this algorithm,the system state equation is built based on the relative motion relationship between the lead missile and the subordinate missile,and then it is converted to an error form.Based on inverse optimal control theory,the optimal control variable can be derived according to dynamic tuning time.Due to consideration of formation system's dynamics,this algorithm can guarantee that the generation time of desired shape meets index requirement,and it can make all members approaching to ideal positions and consistent velocity simultaneously.Simulated results verify the validity of the proposed algorithm and its application prospect for general design of missile formation system.