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Consensus-Based Finite-Time Cooperative Guidance with Field-of-View Constraint

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Abstract

The problem of cooperative guidance of multiple missiles with field-of-view constraint is addressed based on consensus theory. Considering the singularity problem when the second-order consensus algorithm is directly applied to missile guidance, a novel finite-time consensus algorithm with field-of-view constraint is derived and proved. The singularity problem is also avoided. Cooperative guidance law under 2D and 3D engagement is designed using a two-stage guidance scheme. In the first stage, a decentralized guidance law is designed based on the derived finite-time consensus algorithm to provide the latter stage’s desired initial conditions, and proportional navigation guidance law is used in the second stage. The proposed cooperative guidance law requires neither time-to-go estimation nor controllable velocity magnitude. Compared with other two-stage guidance schemes, the proposed cooperative guidance law can provide better initial conditions for the second stage. Numerical simulation and comparison work demonstrate the effectiveness and superiority of the proposed cooperative guidance law.

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References

  1. Jeon IS, Lee JI, Tahk MJ (2006) Impact-time-control guidance law for anti-ship missiles. IEEE Trans Control Syst Technol 14(2):260–266. https://doi.org/10.1109/tcst.2005.863655

    Article  Google Scholar 

  2. Jeon IS, Lee JI, Tahk MJ (2010) Homing guidance law for cooperative attack of multiple missiles. J Guid Control Dyn 33(1):275–280. https://doi.org/10.2514/1.40136

    Article  Google Scholar 

  3. Li K, Wang J, Lee CH, Zhou R, Zhao S (2020) Distributed cooperative guidance for multivehicle simultaneous arrival without numerical singularities. J Guid Control Dyn 43(7):1365–1373. https://doi.org/10.2514/1.G005010

    Article  Google Scholar 

  4. Yan XH, Zhu JH, Kuang MC, Yuan XM (2020) A computational-geometry-based 3-dimensional guidance law to control impact time and angle. Aerosp Sci Technol 98:105672. https://doi.org/10.1016/j.ast.2019.105672

    Article  Google Scholar 

  5. Zhang Y, Tang S, Guo J (2020) Two-stage cooperative guidance strategy using a prescribed-time optimal consensus method. Aerosp Sci Technol 100:105641. https://doi.org/10.1016/j.ast.2019.105641

    Article  Google Scholar 

  6. Chen Z, Yu J, Dong X, Ren Z (2021) Three-dimensional cooperative guidance strategy and guidance law for intercepting highly maneuvering target. Chin J Aeronaut 34(5):485–495. https://doi.org/10.1016/j.cja.2020.12.014

    Article  Google Scholar 

  7. Zhang Y, Wang X, Wu H (2014) Impact time control guidance law with field of view constraint. Aerosp Sci Technol 39:361–369. https://doi.org/10.1016/j.ast.2014.10.002

    Article  Google Scholar 

  8. Kim HG, Kim HJ (2019) Backstepping-based impact time control guidance law for missiles with reduced seeker field-of-view. IEEE Trans Aerosp Electron Syst 55(1):82–94. https://doi.org/10.1109/taes.2018.2848319

    Article  Google Scholar 

  9. Chen X, Wang J (2018) Nonsingular sliding-mode control for field-of-view constrained impact time guidance. J Guid Control Dyn 41(5):1214–1222. https://doi.org/10.2514/1.G003146

    Article  Google Scholar 

  10. Dong W, Wen Q, Xia Q, Yang S (2020) Multiple-constraint cooperative guidance based on two-stage sequential convex programming. Chin J Aeronaut 33(1):296–307. https://doi.org/10.1016/j.cja.2019.07.026

    Article  Google Scholar 

  11. Han T, Hu Q, Xin M (2020) Analytical solution of field-of-view limited guidance with constrained impact and capturability analysis. Aerosp Sci Technol 97:105586. https://doi.org/10.1016/j.ast.2019.105586

    Article  Google Scholar 

  12. Kim HG, Lee JY, Kim HJ, Kwon HH, Park JS (2020) Look-angle-shaping guidance law for impact angle and time control with field-of-view constraint. IEEE Trans Aerosp Electron Syst 56(2):1602–1612. https://doi.org/10.1109/taes.2019.2924175

    Article  Google Scholar 

  13. Ma S, Wang X, Wang Z (2021) Field-of-view constrained impact time control guidance via time-varying sliding mode control. Aerospace 8(9):251. https://doi.org/10.3390/aerospace8090251

    Article  Google Scholar 

  14. Ai X, Wang L, Yu J, Shen Y (2019) Field-of-view constrained two-stage guidance law design for three-dimensional salvo attack of multiple missiles via an optimal control approach. Aerosp Sci Technol 85:334–346. https://doi.org/10.1016/j.ast.2018.11.052

    Article  Google Scholar 

  15. Chen Y, Wang J, Wang C, Shan J, Xin M (2020) Cooperative homing guidance law with field-of-view constraint. J Guid Control Dyn 43(2):389–397. https://doi.org/10.2514/1.G004681

    Article  Google Scholar 

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

    Article  Google Scholar 

  17. Kang S, Wang J, Li G, Shan J, Petersen IR (2018) Optimal cooperative guidance law for salvo attack: an MPC-based consensus perspective. IEEE Trans Aerosp Electron Syst 54(5):2397–2410. https://doi.org/10.1109/taes.2018.2816880

    Article  Google Scholar 

  18. Zhao E, Chao T, Wang S, Yang M (2016) Multiple flight vehicles cooperative guidance law based on extended state observer and finite time consensus theory. Proc Inst Mech Eng Part G J Aerosp Eng 232(2):270–279. https://doi.org/10.1177/0954410016683734

    Article  Google Scholar 

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

    Article  Google Scholar 

  20. Wang X, Lu X (2018) Three-dimensional impact angle constrained distributed guidance law design for cooperative attacks. ISA Trans 73:79–90. https://doi.org/10.1016/j.isatra.2017.12.009

    Article  Google Scholar 

  21. Jing L, Zhang L, Guo J, Cui N (2020) Fixed-time cooperative guidance law with angle constraint for multiple missiles against maneuvering target. IEEE Access 8:73268–73277. https://doi.org/10.1109/access.2020.2987821

    Article  Google Scholar 

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

    Article  Google Scholar 

  23. He S, Wang W, Lin D, Lei H (2018) Consensus-based two-stage salvo attack guidance. IEEE Trans Aerosp Electron Syst 54(3):1555–1566. https://doi.org/10.1109/taes.2017.2773272

    Article  Google Scholar 

  24. Lyu T, Guo Y, Li C, Ma G, Zhang H (2019) Multiple missiles cooperative guidance with simultaneous attack requirement under directed topologies. Aerosp Sci Technol 89:100–110. https://doi.org/10.1016/j.ast.2019.03.037

    Article  Google Scholar 

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

    Article  Google Scholar 

  26. Lee S, Cho N, Kim Y (2020) Impact-time-control guidance strategy with a composite structure considering the seeker’s field-of-view constraint. J Guid Control Dyn 43(8):1566–1574. https://doi.org/10.2514/1.G005063

    Article  Google Scholar 

  27. Hong H, Tekin R, Holzapfel F (2021) Guaranteed smooth trajectory generation for field-of-view constrained impact-time control. J Guid Control Dyn 44(4):898–904. https://doi.org/10.2514/1.G005723

    Article  Google Scholar 

  28. Lin M, Ding X, Wang C, Liang L, Wang J (2021) Three-dimensional fixed-time cooperative guidance law with impact angle constraint and prespecified impact time. IEEE Access 9:29755–29763. https://doi.org/10.1109/access.2021.3057428

    Article  Google Scholar 

  29. He S, Lee CH, Shin HS, Tsourdos A (2021) Optimal three-dimensional impact time guidance with seeker’s field-of-view constraint. Chin J Aeronaut 34(2):240–251. https://doi.org/10.1016/j.cja.2020.04.006

    Article  Google Scholar 

  30. Ha IJ, Hur JS, Ko MS, Song TL (1990) Performance analysis of PNG laws for randomly maneuvering targets. IEEE Trans Aerosp Electron Syst 26(5):713–721. https://doi.org/10.1109/7.102706

    Article  Google Scholar 

  31. Olfati-Saber R, Murray RM (2004) Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Autom Control 49(9):1520–1533. https://doi.org/10.1109/tac.2004.834113

    Article  MATH  MathSciNet  Google Scholar 

  32. Song Y, Wang Y (2019) Cooperative control of nonlinear networked systems. Springer, Berlin. https://doi.org/10.1007/978-3-030-04972-0

    Book  MATH  Google Scholar 

  33. Ren W, Cao Y (2010) Distributed coordination of multi-agent networks: emergent problems, models, and issues. Springer Science & Business Media, Berlin. https://doi.org/10.1007/978-0-85729-169-1

    Book  MATH  Google Scholar 

  34. Zhao Y, Duan Z, Wen G (2015) Finite-time consensus for second-order multi-agent systems with saturated control protocols. IET Control Theory Appl 9(3):312–319. https://doi.org/10.1049/iet-cta.2014.0061

    Article  MathSciNet  Google Scholar 

  35. Hong Y, Xu Y, Huang J (2002) Finite-time control for robot manipulators. Syst Control Lett 46(4):243–253. https://doi.org/10.1016/S0167-6911(02)00130-5

    Article  MATH  MathSciNet  Google Scholar 

  36. Song SH, Ha IJ (1994) A Lyapunov-like approach to performance analysis of 3-dimensional pure PNG laws. IEEE Trans Aerosp Electron Syst 30(1):238–248. https://doi.org/10.1109/7.250424

    Article  Google Scholar 

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Funding

This work was supported by the Fundamental Research Funds for the Central Universities (number 30919011401) and the Natural Science Foundation of Jiangsu Province (number BK20200498).

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Authors and Affiliations

  1. School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing, China

    Shuai Ma, Xugang Wang, Zhongyuan Wang & Qi Chen

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  1. Shuai Ma
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Correspondence to Xugang Wang.

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Ma, S., Wang, X., Wang, Z. et al. Consensus-Based Finite-Time Cooperative Guidance with Field-of-View Constraint. Int. J. Aeronaut. Space Sci. 23, 966–979 (2022). https://doi.org/10.1007/s42405-022-00473-4

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