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基于LQ微分对策的最优规避策略与决策算法 被引量:17

Optimal Evasive Strategies Based on LQ Differential Games
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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-Yaccobi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。 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 the analytical solution was provided.And different sensitivities of each parameter were analysed,then,the decision algorithm of each parameter was provided.Finally,Simulations under different conflict situations verified the feasibility of the model and the effectiveness of the decision algorithm.
出处 《计算机仿真》 CSCD 2008年第9期74-78,共5页 Computer Simulation
关键词 机动规避 微分对策 变分法 共轭分析法 Evasive strategy Differential games Calculus of variations Adjoint method
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参考文献6

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