导弹拦截的混杂对策系统建模研究  

Research on Modeling of Hybrid Game System for Missile Interception

作　　者：郝丽娜[1] 曹瑞珉 王风立 白国力 HAO Li-na;CAO Rui-min;WANG Feng-li;BAI Guo-li(School of Mechanical Engineering ＆ Automation,Northeastern University,Shenyang 110819,China.)

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2018年第7期931-936,共6页Journal of Northeastern University(Natural Science)

基　　金：中央高校基本科研业务费专项资金资助项目(N160306002);国家自然科学基金资助项目(61573093)

摘　　要：导弹拦截系统中既存在轨迹的连续变化过程,也存在策略的选择问题,单独采用微分对策和事件对策均无法有效描述该系统的混杂特性.将该过程看作一类混杂系统,提出一种导弹拦截过程(missile interception process,MIP)的混杂对策建模方法.基于混杂随机时延Petri网(hybrid stochastic timed Petri net,HSTPN)建立导弹拦截事件对策模型,结合导弹飞行过程的动力学模型建立拦截过程的微分对策模型;以"民兵Ⅲ"导弹作为进攻弹,对MIP的混杂过程进行实例仿真.结果证明,采用混杂对策建立的导弹拦截混杂描述方案,既可以较好地描述导弹轨迹的连续变化过程,也可以描述策略的选择问题.In the missile defense system, there is not only the continuously evolving of trajectories,but also the decision of the event strategy. The differential game and the event game cannot effectively describe the hybrid characteristics alone. Therefore,the missile defense system was regarded as a kind of hybrid system, and hybrid game modeling method of missile interception process（ MIP） was proposed. Then the event game model of missile interception was established based on the HSTPN（ hybrid stochastic timed Petri net）,and the differential game model of the missile interception process was established based on the dynamic model of the missile. Taking the＂Minuteman Ⅲ＂as the example,the hybrid process was simulated with some practical cases. It was turned out to be that the hybrid interception description scheme based on hybrid games can describe not only the continuous trajectories of missile,but also selection of strategy.

关 键 词：导弹拦截 混杂对策 混杂随机时延Petri网(HSTPN) 事件对策 微分对策 

分 类 号：TJ765.1[兵器科学与技术—武器系统与运用工程]