双拦截弹拦截单目标边界型微分对策制导律研究
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摘要
针对战术弹道导弹、高超声速巡航导弹和无人飞行器等新型的、具有高机动性能的防空目标,为提高成功拦截的概率,采用多枚拦截弹进行拦截。应用微分对策理论,将双拦截弹拦截单目标的末段制导问题建模为"二对一追踪-逃逸"对策模型。考虑最大加速度约束,研究了2枚拦截弹的拦截空间分解和对策空间分布,并通过仿真研究了制导律性能。结果表明:当采用2枚拦截弹进行拦截时,脱靶量对目标机动方向的转变时间具有很好的鲁棒性。
In order to intercept the future target such as tactical ballistic missile(TBM),supersonic cruise missile(SCM)and unmanned aerial vehicle(UAV)which are characterized by high maneuvering capability,multiple interceptors may be launched and aimed at single target.The end-game guidance of intercepting single target with two missiles is modeled as a two-pursuit single-evader game model solved by bounded differential game theory.The intercept space decomposition and game space structure are investigated and homing performance are demonstrated by simulations of a realistic ballistic missile defense scenario.Results show that the miss distance has robust performance with respect to the maneuvering direction changing time by utilizing two interceptors.
In order to intercept the future target such as tactical ballistic missile(TBM),supersonic cruise missile(SCM)and unmanned aerial vehicle(UAV)which are characterized by high maneuvering capability,multiple interceptors may be launched and aimed at single target.The end-game guidance of intercepting single target with two missiles is modeled as a two-pursuit single-evader game model solved by bounded differential game theory.The intercept space decomposition and game space structure are investigated and homing performance are demonstrated by simulations of a realistic ballistic missile defense scenario.Results show that the miss distance has robust performance with respect to the maneuvering direction changing time by utilizing two interceptors.
引文
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[2]陈迎春,齐欢.基于协同进化的平面追逃对策研究[J].控制与决策,2009,24(3):383-387.CHEN Y C,QI H.Co-evolutionary pursuit-evasion game on aplane[J].Control and Decision,2009,24(3):383-387(in Chinese).
[3]GUTMAN S,LEITMANN G.Optimal strategies in the neighborhood of a collision course[J].AIAA Journal,1976,14(9):1210-1212.
[4]GUTMAN S.On optimal guidance for homing missiles[J].Journal of Guidance,Control,and Dynamics,1979,2(4):296-300.
[5]SHINAR J.Solution techniques for realistic pursuit-evasion games[C].Advance in Control and Dynamic Systems.New York:Academic Press,1981,17:63-124.
[6]SHINAR J,SHIMA T.Nonorthodox guidance law development approach for intercepting maneuvering targets[J].Journal of Guidance,Control,and Dynamics,2002,25(4):658-666.
[7]TURETSKY V,SHINAR J.Missile guidance laws bases on pursuit-evasion game formulations[J].Automatica,2003,39(4):607-618.
[8]SHINAR J,SHIMA T.Robust missile guidance law against highly maneuvering targets[C].Proceedings of the 7th Mediterranean Conference on Control and Automation,Haifa,Israel,1999:1548-1572.
[9]SHIMA T,SHINAR J.Time-varying linear pursuit-evasion game models with bounded controls[J].Journal of Guidance,Control,and Dynamics,2002,25(3):425-432.
[10]SHIMA T,SHINAR J,WEISS H.New interceptor guidance law integrating time-varying and estimation-delay models[J].Journal of Guidance,Control,and Dynamics,2003,26(2):295-303.
[11]李运迁,齐乃明,孙小雷,等.大气层内拦截弹微分对策制导律对策空间分布研究[J].航空学报,2010,31(8):1600-1607.LI Y Q,QI N M,SUN X L,et al.Game space decomposition study of differential game guidance law for endoatmospheric interceptor missiles[J].Acta Aeronoutica et Astronautica Sinica,2010,31(8):1600-1607(in Chinese).
[12]LI Y Q,QI N M,ZHANG W H,et al.Bounded differential game guidance law for interceptor missiles with aero-fins and reaction-jets[J].Transaction of the Japan Society for Aeronautical and Space Sciences,2011,53(182):275-282.
[13]刘延芳,齐乃明,夏齐,等.基于非线性模型的大气层内拦截弹微分对策制导律研究[J].航空学报,2011,32(7):1171-1179.LI Y F,QI N M,XIA Q,et al.Differential game guidance law for endoatmospheric interceptor missiles based on nonlinear model[J].Acta Aeronouticaet Astronautica Sinica,2011,32(7):1171-1179(in Chinese).
[14]刘长有,张嗣瀛.水平面拦截对策问题的次最优制导律[J].控制与决策,1989,(5):7-13.LIU C Y,ZHANG S Y.A suboptimal guidance law for the problem of interception games in horizontal plane[J].Control and Decision,1989,(5):7-13(in Chinese).
[15]PERELMAN A,SHIMA T,RUSNAK I.Cooperative differential games strategies for active aircraft protection from a homing missiles[C].Journal of Guidance,Control and Dynamic,2011,34(3):761-773.
[16]PERELMAN A,SHIMA T,RUSNAK I.Cooperative differential games strategies for active aircraft protection from a homing missiles[J].Journal of Guidance,Control,and Dynamics,2010,34(3):761-773.
[17]SHIMA T.Optimal cooperative pursuit and evasion strategies against a homing missile[J].Journal of Guidance,Control,and Dynamics,2011,34(2):414-425.
[18]彭琛,刘星,吴森堂,等.多弹分布式协同末制导时间一致性研究[J].控制与决策,2010,25(10):1557-1561,1566.PENG C,LIU X,WU S T,et al.Consensus problem in distributed cooperative terminal guidance time of multi-missiles[J].Control and Decision,2010,25(10):1557-1561,1566(in Chinese).
[19]FOLEY A M,SCHMITENDORF W E.A class of differential games with two pursuers versus one evader[C].1973IEEE Conference on Decision and Control including the 12th Symposium on Adaptive Processes,1973:294-298.
[20]FOLEY A M,SCHMITENDORF W.A class of differential games with two Pursuers versus one evader[J].IEEE Transactions on Automatic Control,1973,12(3):239-243.
[21]LIN W,QU Z H,SIMAAN M A.A design of distributed nonzero-sum Nash strategies[C].49th IEEE Conference on Decision and Control(CDC),Hilton Hotel,Atlanta,GA,USA,2010:6305-6310.