| Citation: | GUO Zhiqiang, SUN Qilong, ZHOU Shaolei, et al. Norm differential game guidance law for active defense aircraft[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(9): 1787-1796. doi: 10.13700/j.bh.1001-5965.2018.0738(in Chinese)
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For the pursuit-evasion problems between an active defense aircraft which can launch a defending missile from itself and an attacking missile, a guidance law for aircraft and defending missile is derived and analyzed based on the differential game theory. First, Optimal guidance strategies with bounded lateral controls of aircraft, defending missile and attacking missile are derived for the three players by using a norm performance index. Second, the conditions of a successful evasion for the aircraft and a successful interception for the defender are deduced, and the minimal evasion maneuver of the aircraft and the minimal interception maneuver of the defender are obtained. Finally, Nonlinear simulations are carried out to validate the guidance law proposed. It is verified that the aircraft can evade the attacking missile if its maneuver is equal or greater than the minimal evasion maneuver, and the defender can intercept the attacking missile if its maneuver is equal or greater than the minimal interception maneuver.
| [1] |
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. doi: 10.2514/1.49515
|
| [2] |
SHIMA T.Optimal cooperative pursuit and evasion strategies against a homing missile[J].Journal of Guidance, Control, and Dynamics, 2011, 34(2):414-425. doi: 10.2514/1.51765
|
| [3] |
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. doi: 10.2514/1.58531
|
| [4] |
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. doi: 10.2514/1.50572
|
| [5] |
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. doi: 10.2514/1.58566
|
| [6] |
RATNOO A, SHIMA T.Guidance strategies against defended aerial targets[J].Journal of Guidance, Control, and Dynamics, 2012, 35(4):1059-1068. doi: 10.2514/1.56924
|
| [7] |
BOYELL R L.Defending a moving target against missile or torpedo attack[J].IEEE Transactions on Aerospace and Electronic Systems, 1976, 12(4):522-526. http://d.old.wanfangdata.com.cn/Periodical/bgxb200201019
|
| [8] |
PERELMAN A, SHIMA T, RUSNAK I.Cooperative differential games strategies for active aircraft protection from a homing missile[J].Journal of Guidance, Control, and Dynamics, 2011, 34(3):761-773. doi: 10.2514/1.51611
|
| [9] |
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. doi: 10.2514/1.G001083
|
| [10] |
GARCIA E, CASBEER D W, PACHTER M.Active target defense differential game:Fast defender case[J].IET Control Theory and Applications, 2017, 11(17):2985-2993. doi: 10.1049/iet-cta.2017.0302
|
| [11] |
GARCIA E, CASBEER D W, FUCHS C Z, et al.Cooperative missile guidance for active defense of air vehicles[J].IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(2):706-721. doi: 10.1109/TAES.2017.2764269
|
| [12] |
PACHTER M, GARCIA E, CASBEER D W.Active target defense differential game[C]//52nd Annual Allerton Conference on Communication, Control, and Computing.Piscataway, NJ: IEEE Press, 2014: 46-53.
|
| [13] |
RUSNAK I. The lady, the bandits and the body-guard game[C]//The 44th Israel Annual Conference on Aerospace Sciences.Haifa: Israel Institute of Technology, 2004: 25-26.
|
| [14] |
RUSNAK I.The lady, the bandits and the body guards-A two team dynamic game[C]//Proceedings of the 16th World IFAC Congress.Prague: IFAC, 2005: 441-446.
|
| [15] |
RUSNAK I.Games based guidance in anti-missile defense for high order participants[C]//Proceeding of the 15th IEEE Mediterranean Electrotechnical Conference.Piscataway, NJ: IEEE Press, 2010: 812-817.
|
| [16] |
RUBINSKY S, GUTMAN S.Three body guaranteed pursuit and evasion: AIAA-2012-4910[R].Reston: AIAA, 2012.
|
| [17] |
RUBINSKY S, GUTMAN S.Three-player pursuit and evasion conflict[J].Journal of Guidance, Control, and Dynamics, 2014, 37(1):98-110. doi: 10.2514/1.61832
|
| [18] |
孙启龙, 齐乃明, 赵钧, 等.攻击主动防御飞行器的微分对策制导律[J].国防科技大学学报, 2018, 40(3):7-14. http://d.old.wanfangdata.com.cn/Periodical/gfkjdxxb201803002
SUN Q L, QI N M, ZHAO J, et al.Differential game guidance laws against active defense aircraft[J].Journal of National University of Defense Technology, 2018, 40(3):7-17(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/gfkjdxxb201803002
|
| [19] |
SUN Q L, QI N M, XIAO L X, et al.Differential game strategy in three-player evasion and pursuit scenarios[J].Journal of Systems Engineering and Electronics, 2018, 29(2):352-366. doi: 10.21629/JSEE.2018.02.16
|
| [20] |
TURETSKY V, SHINAR J.Missile guidance laws based on pursuit-evasion game formulations[J].Automatica, 2003, 39(4):607-618. doi: 10.1016/S0005-1098(02)00273-X
|
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