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Finite-time Cooperative Guidance Law for Multiple Missiles with Impact Angle Constraints and Switching Communication Topologies

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Abstract

In this paper, based on terminal sliding mode control (TSMC), a cooperative impact time and angle constrained guidance (CITACG) law for multi-missile system with switching network topologies is proposed. The obtained CITACG is composed of two parts. One part is designed to make the missiles intercept the target from their predetermined impact angles. And the other part’s goal is to make the multiple missiles intercept the target simultaneously without predefining a common impact time. Sliding mode surface of the first part is designed based on TSMC, meanwhile integral terminal sliding mode control (ITSMC) and graph theory are applied to derive the second part of the CITACG. When the communication network switches between the connected topology and the disconnected one, a Lyapunov candidate function is introduced and the corresponding stability conditions are derived. The proposed guidance law is the summation of the two guidance parts, therefore it is a direct method and do not have to switch the guidance command between the impact angle constrained guidance law and the impact time constrained guidance law. The predetermined common impact time is not required in the proposed CITACG, and the missiles can automatically adjust themselves to intercept the target simultaneously by communicating between their neighbors. Numerical simulations demonstrate the great performance of the proposed guidance law.

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Data Availability

The complete simulation data is available by contacting the corresponding author.

References

  1. Oh, K.-K., Park, M.-C., Ahn, H.-S.: A survey of multi-agent formation control. Automatica 53, 424–440 (2015). https://doi.org/10.1016/j.automatica.2014.10.022

    Article  MathSciNet  MATH  Google Scholar 

  2. Zhang, Z., Dong, J.: Containment control of interval type-2 fuzzy multiagent systems with multiple intermittent packet dropouts and actuator failure. J. Frank. Inst 357(10), 6096–6120 (2020). https://doi.org/10.1016/j.jfranklin.2020.04.003

    Article  MathSciNet  MATH  Google Scholar 

  3. Zhou, W., Li, J., Liu, Z., Shen, L.: Improving multi-target cooperative tracking guidance for uav swarms using multi-agent reinforcement learning. Chinese J. Aeronaut. 35(7), 100–112 (2022). https://doi.org/10.1016/j.cja.2021.09.008

    Article  Google Scholar 

  4. Sun, Y., Shi, P., Lim, C.-C.: Event-triggered sliding mode scaled consensus control for multi-agent systems. J. Frank. Inst 359(2), 981–998 (2022). https://doi.org/10.1016/j.jfranklin.2021.12.007

    Article  MathSciNet  MATH  Google Scholar 

  5. Jin, L., Qi, Y., Luo, X., Li, S., Shang, M.: Distributed competition of multi-robot coordination under variable and switching topologies. IEEE Transactions on Automation Science and Engineering, 1–12 (2021). https://doi.org/10.1109/TASE.2021.3126385

  6. Xu, Y., Li, T., Tong, S.: Event-triggered adaptive fuzzy bipartite consensus control of multiple autonomous underwater vehicles. IET Control. Theory Appl. 14(20), 3632–3642 (2020). https://doi.org/10.1049/iet-cta.2020.0706

    Article  MathSciNet  Google Scholar 

  7. Wu, T., Wang, J., Tian, B.: Periodic event-triggered formation control for multi-uav systems with collision avoidance. Chinese J. Aeronaut. 35(8), 193–203 (2022). https://doi.org/10.1016/j.cja.2021.10.011

    Article  Google Scholar 

  8. Jeon, I.-S., Lee, J.-I., Tahk, M.-J.: Impact-time-control guidance law for anti-ship missiles. IEEE Trans Control Syst Technol. 14(2), 260–266 (2006). https://doi.org/10.1109/TCST.2005.863655

    Article  Google Scholar 

  9. Kumar, S.R., Ghose, D.: Impact time guidance for large heading errors using sliding mode control. IEEE Trans. Aerosp Electron Syst. 51(4), 3123–3138 (2015). https://doi.org/10.1109/TAES.2015.140137

    Article  Google Scholar 

  10. Cho, D., Kim, H.J., Tahk, M.-J.: Nonsingular sliding mode guidance for impact time control. J. Guid. Control Dyn. 39(1), 61–68 (2015). https://doi.org/10.2514/1.G001167

    Article  Google Scholar 

  11. Zhang, Y., Wang, X., Ma, G.: Impact time control guidance law with large impact angle constraint. Proceedings of the Institution of Mechanical Engineers, Part G. J. Aerosp. Eng. 229(11), 2119–2131 (2015). https://doi.org/10.1177/0954410014568466

  12. Yang, Z., Wang, H., Lin, D., Zang, L.: A new impact time and angle control guidance law for stationary and nonmaneuvering targets. International J Aerosp Eng 2016 (2016). https://doi.org/10.1155/2016/6136178

  13. Hou, Z., Yang, Y., Liu, L., Wang, Y.: Terminal sliding mode control based impact time and angle constrained guidance. Aerosp Sci Technol 93, 1–10 (2019). https://doi.org/10.1016/j.ast.2019.04.050

    Article  Google Scholar 

  14. Hou, Z., Liu, L., Wang, Y., Huang, J., Fan, H.: Terminal impact angle constraint guidance with dual sliding surfaces and model-free target acceleration estimator. IEEE Trans. Control Sys. Technol. 25(1), 85–100 (2016). https://doi.org/10.1109/TCST.2016.2547984

    Article  Google Scholar 

  15. Zhao, Z., Li, C., Yang, J., Li, S.: Output feedback continuous terminal sliding mode guidance law for missile-target interception with autopilot dynamics. Aerosp. Sci. Technol. 86, 256–267 (2019). https://doi.org/10.1016/j.ast.2019.01.012

    Article  Google Scholar 

  16. Guo, J., Xiong, Y., Zhou, J.: A new sliding mode control design for integrated missile guidance and control system. Aerosp Sci Technol 78, 54–61 (2018). https://doi.org/10.1016/j.ast.2018.03.042

    Article  Google Scholar 

  17. Jeon, I.-S., Lee, J.-I., Tahk, M.-J.: Homing guidance law for cooperative attack of multiple missiles. J. Guid. Control Dyn. 33(1), 275–280 (2010). https://doi.org/10.2514/1.40136

    Article  Google Scholar 

  18. Zhang, Y., Wang, X., Wu, H.: A distributed cooperative guidance law for salvo attack of multiple anti-ship missiles. Chinese J Aeronaut. 28(5), 1438–1450 (2015). https://doi.org/10.1016/j.cja.2015.08.009

    Article  Google Scholar 

  19. Zhao, J., Zhou, R., Dong, Z.: Three-dimensional cooperative guidance laws against stationary and maneuvering targets. Chinese J Aeronaut. 28(4), 1104–1120 (2015). https://doi.org/10.1016/j.cja.2015.06.003

    Article  Google Scholar 

  20. He, S., Kim, M., Song, T., Lin, D.: Three-dimensional salvo attack guidance considering communication delay. Aerosp. Sci. Technol. 73, 1–9 (2018). https://doi.org/10.1016/j.ast.2017.11.019

    Article  Google Scholar 

  21. Zhou, S., Ren, J., Heng, Y., Dong, X., Li, Q.: Distributed cooperative guidance for multi-missile system with time-varying delays and switching topologies. In: 2020 39th Chinese Control Conference (CCC), pp. 3464–3470 (2020). https://doi.org/10.23919/CCC50068.2020.9189290

  22. Zhao, Q., Dong, X., Liang, Z., Bai, C., Chen, J., Ren, Z.: Distributed cooperative guidance for multiple missiles with fixed and switching communication topologies. Chinese J Aeronaut. 30(4), 1570–1581 (2017). https://doi.org/10.1016/j.cja.2017.06.009

    Article  Google Scholar 

  23. Yang, X., Song, S.: Three-dimensional consensus algorithm for nonsingular distributed cooperative guidance strategy. Aerosp. Sci. Technol, 106958 (2021). https://doi.org/10.1016/j.ast.2021.106958

  24. Kumar, S.R., Mukherjee, D.: Cooperative salvo guidance using finite-time consensus over directed cycles. IEEE Trans. Aerosp. Electron. Sys. 56(2), 1504–1514 (2020). https://doi.org/10.1109/TAES.2019.2934675

    Article  Google Scholar 

  25. Li, B., Lin, D., Wang, H.: Finite time convergence cooperative guidance law based on graph theory. Optik 127(21), 10180–10188 (2016). https://doi.org/10.1016/j.ijleo.2016.08.035

    Article  Google Scholar 

  26. Song, J., Song, S., Xu, S.: Three-dimensional cooperative guidance law for multiple missiles with finite-time convergence. Aerosp. Sci. Technol. 67, 193–205 (2017). https://doi.org/10.1016/j.ast.2017.04.007

    Article  Google Scholar 

  27. Wang, X., Zhang, Y., Wu, H.: Distributed cooperative guidance of multiple anti-ship missiles with arbitrary impact angle constraint. Aerosp Sci Technol 46, 299–311 (2015). https://doi.org/10.1016/j.ast.2015.08.002

    Article  Google Scholar 

  28. Lyu, T., Li, C., Guo, Y., Ma, G.: Three-dimensional finite-time cooperative guidance for multiple missiles without radial velocity measurements. Chinese J Aeronaut 32(5), 1294–1304 (2019). https://doi.org/10.1016/j.cja.2018.12.005

  29. Zhang, S., Guo, Y., Liu, Z., Wang, S., Hu, X.: Finite-time cooperative guidance strategy for impact angle and time control. IEEE Trans. Aerosp. Electron. Sys. 57(2), 806–819 (2021). https://doi.org/10.1109/TAES.2020.3037958

    Article  Google Scholar 

  30. Wang, X., Zheng, Y., Lin, H.: Integrated guidance and control law for cooperative attack of multiple missiles. Aerosp. Sci. Technol. 42, 1–11 (2015). https://doi.org/10.1016/j.ast.2014.11.018

    Article  Google Scholar 

  31. Kumar, S.R., Ghose, D.: Impact time and angle control guidance. In: AIAA Guidance, Navigation, and Control Conference, p. 0616 (2015)

  32. Franceschelli, M., Giua, A., Pisano, A., Usai, E.: Finite-time consensus for switching network topologies with disturbances. Nonlinear Anal. Hybrid Syst. 10, 83–93 (2013). https://doi.org/10.1016/j.nahs.2013.06.004

    Article  MathSciNet  MATH  Google Scholar 

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Funding

This work is supported by the Guangdong Basic and Applied Basic Research Foundation (No. 2020A1515110815).

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Authors and Affiliations

  1. School of Systems Science and Engineering, Sun Yat-sen University, No. 135, Xingang Xi Road, Guangzhou, 510275, People’s Republic of China

    Zhiwei Hou, Hongbo Chen & Xuebin Zhuang

  2. School of Mechanical and Electrical Engineering, Guangzhou University, 230 Wai Huan Xi Road, Guangzhou Higher Education Mega Center, Guangzhou, 510006, People’s Republic of China

    Xuejing Lan

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  1. Zhiwei Hou
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Contributions

All authors contributed to the study conception and design. Proving, coding, experiment preparation, data collection and analysis were performed by Zhiwei Hou. The first draft of the manuscript was written by Zhiwei Hou and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Xuebin Zhuang.

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Hou, Z., Lan, X., Chen, H. et al. Finite-time Cooperative Guidance Law for Multiple Missiles with Impact Angle Constraints and Switching Communication Topologies. J Intell Robot Syst 108, 85 (2023). https://doi.org/10.1007/s10846-023-01931-1

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