基于凸优化理论的三维微分对策制导规律求解

Solution Method of 3-D Differential Game Guidance Law Based on Convex Optimization Theory

针对三维微分对策制导律(DGL)求解问题,引入凸优化理论,将DGL求解归结到Hamil-ton系统的求解,设计了DGL求解算法,通过对代价函数梯度特征的凸分析,推导出对策系统鞍点存在的充要条件和求解方法,解决了以往通过对微分对策模型简化求解导致的模型不能客观反映作战过程的问题。

Aiming at the problem of solving differential game guidance law（DGL） , a convex optimi-zation theory is introduced and the solution method of DGL is designed by converting it into the process of solving Hamilton system. Through analyzing the gradient features of the cost function, the necessary and sufficient conditions that the game system exists anchor points is derived, and the solving method of the game system is deduced too. The resuh of is expected to solve the problem that the usual solving methods of DGL are not able to reflect the true process of air combat by simplifying models.