攻击主动防御飞行器的微分对策制导律
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摘要
基于微分对策理论设计了躲避护卫弹的同时攻击飞行器的制导律。根据传统的性能指标推导了该场景的微分对策制导律,并且根据权重系数的取值定义了三种制导律:最优追赶制导律、逃脱-追赶制导律和复合制导律。最优追赶制导律容易被护卫弹拦截,逃脱-追赶制导律容易造成导弹和飞行器的零控脱靶量急剧增大而使得攻击失败,复合制导律很难选择合适的权重系数。针对以上不足,提出了两种改进的制导律,并对该两种制导律的适用情况进行了分析。通过非线性模型仿真,验证了这两种方法的可行性。该两种制导律目的性强,攻击导弹可以躲避护卫弹进而攻击飞行器。
Evasion and pursuit guidance laws for the missile attacking the defense aircraft were derived based on the differential game theory.Three guidance laws which are optimal-pursuit guidance law,evasion-pursuit guidance law and composite guidance law respectively were derived using a traditional cost function by defining different weight coefficients. If the missile uses the optimal-pursuit guidance law,it can be intercepted easily. When the missile uses the evasion-pursuit guidance law,the zero miss distance between the missile and aircraft will increase sharply; thus the missile fails to attack the aircraft easily. When the missile uses the composite guidance law,it is hard to choose the reasonable weighting parameters. To overcome these deficiencies,two new guidance laws were investigated and the sufficient conditions for the missile winning the game were analyzed. The two new guidance laws were verified by the nonlinear simulation and the results show that the proposed guidance laws can help the attacking missile evade the defender and attack the aircraft successfully.
Evasion and pursuit guidance laws for the missile attacking the defense aircraft were derived based on the differential game theory.Three guidance laws which are optimal-pursuit guidance law,evasion-pursuit guidance law and composite guidance law respectively were derived using a traditional cost function by defining different weight coefficients. If the missile uses the optimal-pursuit guidance law,it can be intercepted easily. When the missile uses the evasion-pursuit guidance law,the zero miss distance between the missile and aircraft will increase sharply; thus the missile fails to attack the aircraft easily. When the missile uses the composite guidance law,it is hard to choose the reasonable weighting parameters. To overcome these deficiencies,two new guidance laws were investigated and the sufficient conditions for the missile winning the game were analyzed. The two new guidance laws were verified by the nonlinear simulation and the results show that the proposed guidance laws can help the attacking missile evade the defender and attack the aircraft successfully.
引文
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[2]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[J].航空学报,2011,32(7):1171-1179.LIU Yanfang,QI Naiming,XIA Qi,et al.Differential game guidance law for endoatmospheric interceptor missiles based on nonlinear model[J].Acta Aeronautica et Astronautica Sinica,2011,32(7):1171-1179.(in Chinese)
[3]Zhao S Y,Zhou R.Cooperative guidance for multimissile salvo attack[J].Chinese Journal of Aeronautics,2008,21(6):533-539.
[4]赵世钰,周锐.基于协调变量的多导弹协同制导[J].航空学报,2008,29(6):1605-1611.ZHAO Shiyu,ZHOU Rui.Cooperative guidance for multimissiles using cooperative variables[J].Acta Aeronautica et Astronautica Sinica,2008,29(6):1605-1611.(in Chinese)
[5]Huang H M,Zhang W,Ding J,et al.Guaranteed decentralized pursuit-evasion in the plane with multiple pursuers[C]//Proceedings of 50th IEEE Conference on Decision and Control and European Control Conference,2011:4835-4840.
[6]Liu Y F,Qi N M,Tang Z W.Linear quadratic differential game strategies with two-pursuit versus single-evader[J].Chinese Journal of Aeronautics,2012,25(6):896-905.
[7]Kumkov S S,Ménec S L,Patsko V S.Solvability sets in pursuit problem with two pursuers and one evader[J].IFAC Proceedings Volumes,2014,47(3):1543-1549.
[8]Ratnoo A,Shima T.Line-of-sight interceptor guidance for defending an aircraft[J].Journal of Guidance,Control,and Dynamics,2011,34(2):522-532.
[9]Yamasaki T,Balakrishnan S N,Takano H.Modified command to line-of-sight intercept guidance for aircraft defense[J].Journal of Guidance,Control,and Dynamics,2013,36(3):898-902.
[10]Shaferman V,Shima T.Cooperative multiple-model adaptive guidance for an aircraft defending missile[J].Journal of Guidance,Control,and Dynamics,2010,33(6):1801-1813.
[11]Perelman A,Shima T,Rusnak I.Cooperative differential game strategies for active aircraft protection from a homing missile[J].Journal of Guidance,Control,and Dynamics,2011,34(3):761-773.
[12]Shima T.Optimal cooperative pursuit and evasion strategies against a homing missile[J].Journal of Guidance,Control,and Dynamics,2011,34(2):414-425.
[13]Prokopov O,Shima T.Linear quadratic optimal cooperative strategies for active aircraft protection[J].Journal of Guidance,Control,and Dynamics,2013,36(3):753-764.
[14]Garcia E,Casbeer D W,Pham K,et al.Cooperative aircraft defense from an attacking missile[C]//Proceedings of 53rd IEEE Conference Decision and Control,2014:2926-2931.
[15]Garcia E,Casbeer D W,Pachter M.Active target defense differential game with a fast defender[C]//Proceedings of American Control Conference,2015:3752-3757.
[16]Garcia E,Casbeer D W,Pachter M.Cooperative strategies for optimal aircraft defense from an attacking missile[J].Journal of Guidance,Control,and Dynamics,2015,38(8):1510-1520.
[17]Kumar S R,Shima T.Cooperative nonlinear guidance strategies for aircraft defense[J].Journal of Guidance,Control,and Dynamics,2017,40(1):124-138.
[18]Ratnoo A,Shima T.Guidance strategies against defended aerial targets[J].Journal of Guidance,Control,and Dynamics,2012,35(4):1059-1068.
[19]Rubinsky S,Gutman S.Three player pursuit and evasion conflict[J].Journal of Guidance,Control,and Dynamics,2014,37(1):98-110.
[20]Rubinsky S,Gutman S.Three body guaranteed pursuit and evasion[C]//Proceedings of AIAA Guidance,Navigation,and Control Conference,2012.