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基于LQ微分对策的最优规避策略与决策算法
引用本文:王长青,史晓丽,王新民,刘永才.基于LQ微分对策的最优规避策略与决策算法[J].计算机仿真,2008,25(9).
作者姓名:王长青  史晓丽  王新民  刘永才
作者单位:1. 北京机电工程研究所,北京,100074
2. 西北工业大学自动化学院,陕西西安,710072
摘    要:针对信息化条件下飞行器通过"智能"机动方式来规避拦截这一问题,基于LQ微分对策方法对最优规避参数的决策问题进行了研究.首先,将微分对策引入LQ最优控制算法,建立了飞行器规避拦截问题的数学模型;其次,提出了将Hamil-ton-Yaceobi伴随向量与共轭法相结合的共轭决策方法,简化了微分对策的求解,并得到了最优规避参数的解析解;给出了规避策略中不同参数对规避效果的不同灵敏度,并给出了最优规避参数的决策算法;最后,针对不同的对抗情形,进行了数字仿真,检验了本文微分对策模型的合理性和算法的有效性.

关 键 词:机动规避  微分对策  变分法  共轭分析法

Optimal Evasive Strategies Based on LQ Differential Games
WANG Chang-qing,SHI Xiao-li,WANG Xin-min,LIU Yong-cai.Optimal Evasive Strategies Based on LQ Differential Games[J].Computer Simulation,2008,25(9).
Authors:WANG Chang-qing  SHI Xiao-li  WANG Xin-min  LIU Yong-cai
Institution:WANG Chang-qing2,SHI Xiao-li1,WANF Xin-min1,LIU Yong-cai2(1.College of Automation,Northwestern Polytechnical University,Xi'an Shanxi 710072,China,2.Beijing Electro-Mechanical Engineering Institute,Beijing 100074,China)
Abstract:To solve the problem of smart evasive strategies of aircraft in conflict course,the problem of optimal evasive strategies and the decision methods were studied based on LQ Differential Games.Firstly,by introducing differential games to the problem of LQ optimal control method,the conflict course was modeled.Then,the method combined by Hamilton-Yaccobi vectors with adjoint method was proposed to solve the optimal decision problems.With this method,the solution of the differential games was simplified,and th...
Keywords:Evasive strategy  Differential games  Calculus of variations  Adjoint method  
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