Kybernetika 53 no. 4, 563-577, 2017

Consensus-based impact-time-control guidance law for cooperative attack of multiple missiles

Qing Zhu, Xiaoli Wang and Qianyu LinDOI: 10.14736/kyb-2017-4-0563

Abstract:

In this paper, a new guidance problem with the impact time constraint for cooperative attack of multiple missiles is investigated, which can be applied to salvo attack of anti-ship missiles. It can be used to guide multiple missiles to hit a stationary target simultaneously at a desirable impact time. The considered impact time control problem can be transformed into a range tracking problem. Then the range tracking problem can be viewed a consensus problem of multi-missile systems. As the application of the distributed consensus controller of multi-agent systems, three distributed protocols are given to solve the cooperative attack problem for the advantages such as reducing cost, improving system efficiency, increasing flexibility and reliability of distributed control. Simulation results demonstrate the performance and feasibility of the given protocols.

Keywords:

distributed control, multiple missiles, impact-time-control, missile guidance

Classification:

93C10, 93C85, 93C95

paper.pdf

References:

  1. M. Cao, A. S. Morse and B. Anderson: Agreeing asynchronously. IEEE Trans. Automat. Control 53 (2008), 1826-1838.   DOI:10.1109/tac.2008.929387
  2. Xi. Dong, B. Yu, Zongying Shi and Yisheng Zhong: Time-varying formation control for unmanned aerial vehicles: theories and applications. IEEE Trans. Control Systems Technol. 23 (2015), 340-348.   DOI:10.1109/tcst.2014.2314460
  3. J. A. Fax and R. M. Murray: Information flow andcooperative control of vehicle formation. IEEE Trans. Automat. Control 49 (2004), 1465-1476.   DOI:10.1109/tac.2004.834433
  4. H. Gao, X. Yang and P. Shi: Multi-objective robust $H_{\infty}$ Control of spacecraft rendezvous. IEEE Trans. Control Systems Technol. 17 (2009), 794-802.   DOI:10.1109/tcst.2008.2012166
  5. C. Godsil and G. Royle: Algebraic Graph Theory. Springer-Verlag, New York 2001.   DOI:10.1007/978-1-4613-0163-9
  6. Y. Hong, J. Hu and L. Gao: Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42 (2006), 1177-1182.   DOI:10.1016/j.automatica.2006.02.013
  7. R. A. Horn and C. R. Johnson: Matrix Theory. Cambridge University Press, Cambridge 1986.   CrossRef
  8. A. Isidori: Nonlinear Control Systems. Third edition. Springer-Verlag, Berlin 1995.   DOI:10.1007/978-1-84628-615-5
  9. A. Jadbabaie, J. Lin and A. Morse: Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Automat. Control 48 (2003), 998-1001.   DOI:10.1109/tac.2003.812781
  10. In-Soo. Jeon, Jin-Ik Lee and Min-Jea Tahk: Impact-time-control guidance law for anti-ship missiles. IEEE Trans. Control Systems Technol. 14 (2006), 260-266.   DOI:10.1109/tcst.2005.863655
  11. In-Soo. Jeon, Jin-Ik Lee and Min-Jea Tahk: Homing guidance law for cooperative attack of multiple missiles. J. Quidance, Control, and Dynamics 33 (2010), 276-279.   DOI:10.2514/1.40136
  12. Y. H. Kim, C. K. Ryoo and M. J. Tahk: Survivability enhanced 3-D biased proportional navigation guidance laws. Proc. Aircraft Symp. 41 (2003), 100-104.   CrossRef
  13. N. Lynch: Distributed Algorithms. Morgan Kaufmann, San Francisco 1996.   CrossRef
  14. W. Ni, X. Wang and C. Xiong: Consensus controllability, observability and robust design for leader-following linear multi-agent systems. Automatica 49 (2013), 2199-2205.   DOI:10.1016/j.automatica.2013.03.028
  15. W. Ren and R. W. Beard: Distributed Consensus in Multi-Vehicle Cooperative Control: Theory and Applications. Springer-Verlag, London 2008.   DOI:10.1007/978-1-84800-015-5
  16. X. Sun, R. Zhou, D. Hou and J. Wu: Consensus of leader-followers system of multi-missile with time-delays and switching topologies. Elsevier 125 (2014), 1202-1208.   DOI:10.1016/j.ijleo.2013.07.159
  17. Y. Tang, Y. Hong and X. Wang: Distributed output regulation for a class of nonlinear multi-agent systems with unknown-input leaders. Automatica 62 (2015), 154-160.   DOI:10.1016/j.automatica.2015.09.014
  18. Y. Wang, S. Dong, L. Ou and L. Lei: Cooperative control of multi-missile systems. IET Control Theory Appl. 9 (2015), 441-446.   DOI:10.1049/iet-cta.2014.0361
  19. X. Wang, Y. Hong, J. Huang and Z. Jiang: A distributed control approach to a robust output regulation problem for multi-agent linear systems. IEEE Trans. Automat.contr,55(2010), 2891-2895.   DOI:10.1109/tac.2010.2076250
  20. X. Wang, W. Ni and X. Wang: Leader-following formation of switching multirobot systems via internal model. IEEE Trans. Syst. Man. Cyber. Part B: Cyber. 42 (2012), 817-826.   DOI:10.1109/tsmcb.2011.2178022
  21. H. Zhang, Z. Chen and M. Fan: Collaborative control of multivehicle systems in diverse motion patterns. IEEE Trans. Control Systems Technol. 46 (2016), 1488-1494.   DOI:10.1109/tcst.2015.2487864
  22. Y. Zhang, D. Yu, Y. Zhang and Y. Wu: An impact-time-control guidance for multi-missiles. tIn: 2009 IEEE International Conference on Intelligent Computing and Intelligent Systems 2006, pp. 430-434.   DOI:10.1109/icicisys.2009.5358361
  23. H. Zhou, S. Song and Z. Zheng: Distributed roubust adaptive control for missile cooparerative engagement within formation. J. Chinese Inertial Technol. 23 (2015), 516-527.   CrossRef