高阶控制导弹线性二次型微分对策制导律

摘要

Based on differential game two-sided optimal theory, a general form LQC differential game guidance law was presented, which was applicable to systematically analyzing any order controlled interception missile and target. As this general form guidance law possesses analytical solution, for an interception missiles with the first-order bi-proper transfer function, verification and simulation can be performed. In the case, the differential game guidance law was derived, and the guidance gains, differential game space and existance conditions of saddle point solution were analyzed. The simulation results verify correction of the general form differential game guidance law.%基于微分对策双边优化理论,给出了一种一般形式线性二次型微分对策制导律,该制导律可适用于具有任意阶控制的拦截导弹和目标的系统综合分析.由于该一般形式制导律具有解析解,针对一类具有一阶正当传递函数的拦截导弹进行了制导律的验证和仿真,推导了该情形下的微分对策制导律,并进行了制导增益和对策空间的分析,研究了鞍点解存在的条件.仿真结果验证了该一般形式微分对策制导律.