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Cooperative Guidance Law Design for Simultaneous Attack with Multiple Missiles Against a Maneuvering Target

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Abstract

This paper considers the simultaneous attack problem of multiple missiles against a maneuvering target. Different from most of the existing literature in which the simultaneous attack problem is formulated as a consensus problem of missiles’ time-to-go estimates, this paper formulates it as the consensus problem of missiles’ ranges-to-go. Based on this strategy, novel distributed guidance laws are proposed to solve the simultaneous attack problem with the target of unknown maneuverability. Adaptive control method is introduced to estimate the upper bound of the target’s acceleration. The effectiveness of the proposed guidance laws is verified both theoretically and numerically.

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References

  1. Jeon I, Lee J, and Tahk M, Impact-time-control guidance law for anti-ship missiles, IEEE Transactions on Control Systems Technology, 2006, 14(2): 260–266.

    Article  Google Scholar 

  2. Wen G, Duan Z, YuW, et al., Consensus in multi-agent systems with communication constraints, International Journal of Robust and Nonlinear Control, 2012, 22(2): 170–182.

    Article  MathSciNet  MATH  Google Scholar 

  3. Liu Y, Zhao Y, and Chen G, Finite-time formation tracking control for multiple vehicles: A motion planning approach, International Journal of Robust and Nonlinear Control, 2016, 26(14): 3130–3149.

    Article  MathSciNet  MATH  Google Scholar 

  4. Li Z, Wen G, Duan Z, et al., Designing fully distributed consensus protocols for linear multi-agent systems with directed graphs, IEEE Transactions on Automatic Control, 2015, 60(4): 1152–1157.

    Article  MathSciNet  MATH  Google Scholar 

  5. Li Z, Chen M, and Ding Z, Distributed adaptive controllers for cooperative output regulation of heterogeneous agents over directed graphs, Automatica, 2016, 68: 179–183.

    Article  MathSciNet  MATH  Google Scholar 

  6. Zhao Y, Liu Y, Li Z, et al., Distributed average tracking for multiple signals generated by linear dynamical systems: An edge-based framework, Automatica, 2017, 75: 158–166.

    Article  MathSciNet  MATH  Google Scholar 

  7. Zhao Y, Liu Y, Wen G, et al., Distributed optimization of linear multi-agent systems: Edge-and node-based adaptive designs, IEEE Transactionson Automatic Control, 2017.

    Google Scholar 

  8. Yu W, Ren W, Zheng W X, et al., Distributed control gains design for consensus in multi-agent systems with second-order nonlinear dynamics, Automatica, 2013, 49(7): 2107–2115.

    Article  MathSciNet  MATH  Google Scholar 

  9. Antonelli G, Interconnected dynamic systems: An overview on distributed control, IEEE Control Systems Magazine, 2013, 33(1): 76–88.

    Article  MathSciNet  Google Scholar 

  10. Liu T and Jiang Z P, Distributed output-feedback control of nonlinear multi-agent systems, IEEE Transactions on Automatic Control, 2013, 58(11): 2912–2917.

    Article  MathSciNet  MATH  Google Scholar 

  11. Liu T and Jiang Z P, Distributed formation control of nonholonomic mobile robots without global position measurements, Automatica, 2013, 49(2): 592–600.

    Article  MathSciNet  MATH  Google Scholar 

  12. Liu T and Jiang Z P, Distributed nonlinear control of mobile autonomous multi-agents, Automatica, 2014, 50(4): 1075–1086.

    Article  MathSciNet  MATH  Google Scholar 

  13. Dong X, Xi J, Lu G, et al., Formation control for high-order linear time-invariant multi-agent systems with time delays, IEEE Transactions on Control of Network Systems, 2014, 1(3): 232–240.

    Article  MathSciNet  MATH  Google Scholar 

  14. Cheng L, Hou Z G, and Tan M, A mean square consensus protocol for linear multi-agent systems with communication noises and fixed topologies, IEEE Transactions on Automatic Control, 2014, 59(1): 261–267.

    Article  MathSciNet  MATH  Google Scholar 

  15. Dong X, Yu B, Shi Z, et al., Time-varying formation control for unmanned aerial vehicles: Theories and applications, IEEE Transactions on Control Systems Technology, 2015, 23(1): 340–348.

    Article  Google Scholar 

  16. Jeon I and Lee J, Homing guidance law for cooperative attack of multiple missiles, Jounal of Guidance, Control, and Dynamics, 2010, 33(1): 275–280.

    Article  Google Scholar 

  17. Zhang P, Liu H, Li X, and Yao Y, Fault tolerance of cooperative interception using multiple flight vehicles, Journal of the Franklin Institute, 2013, 350(9): 2373–2395.

    Article  MathSciNet  MATH  Google Scholar 

  18. Zhou J and Yang J, Distributed guidance law design for cooperative simultaneous attacks with multiple missiles, Journal of Guidance, Control, and Dynamics, 2016, 39(10): 2439–2447.

    Article  Google Scholar 

  19. Slotine J and Li W, Applied Nonlinear Control, China Machine Press, Beijing, 2004.

    MATH  Google Scholar 

Download references

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Authors and Affiliations

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Corresponding author

Correspondence to Jianying Yang.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 61473005, 11332001, and 61471242, the Research Project Fund under Grant No. 17-163-11-ZT-003-018-01, the Air Force Advance Research Fund under Grant No. 303020503, the Joint Fund of Equipment development and Aerospace Science and Technology under Grant No. 6141B0624050101, and the National Defense Basic Scientific Research Program (Major) of China.

This paper was recommended for publication by Editor SUN Jian.

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Zhou, J., Lü, Y., Li, Z. et al. Cooperative Guidance Law Design for Simultaneous Attack with Multiple Missiles Against a Maneuvering Target. J Syst Sci Complex 31, 287–301 (2018). https://doi.org/10.1007/s11424-018-6317-7

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  • DOI: https://doi.org/10.1007/s11424-018-6317-7

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