In this paper, a generalized three-dimensional (3D) cooperative guidance law with seeker’s field-of-view (FOV) constraints is designed for multiple missiles to achieve salvo attack against a stationary target. The proposed generalized guidance law is composed of two parts: a proportional navigation guidance (PNG) component for target capture and a biased feedback component for simultaneous arrival. Two novel auxiliary functions are integrated into the biased feedback component to guarantee the satisfaction of FOV constraint. Furthermore, a time-varying lower bound that contains the impact time error is utilized to avoid the guidance command singularity. The proposed guidance law can be easily applied to various missile communication topologies, including centralized connected, distributed connected, and no-connected topologies. The convergence of impact time error, FOV constraint satisfaction, and command non-singularity of the proposed guidance law are theoretically analyzed and proved. Extensive numerical simulations with comparative studies are conducted to demonstrate the effectiveness and advantages of the proposed guidance law.
ZanchanP. Tactical and strategic missile guidance. 2nd ed. Reston: Progress in Astronautics and Aeronautics, AIAA, 2002.
2.
ZhaoJZhouRJinX. Progress in reentry trajectory planning for hypersonic vehicle. J Sys Eng Electron2014; 25(4): 627–639.
3.
SaleemARatnooA. Lyapunov-based guidance law for impact time control and simultaneous arrival. J Guid, Control, and Dyn2016; 39(1): 164–173.
4.
KimTHParkBGTahkMJ. Bias-shaping method for biased proportional navigation with terminal-angle constraint. J Guid, Control, and Dyn2013; 36(6): 1810–1816.
5.
ZhaoJZhouRDongZ. Three-dimensional cooperative guidance laws against stationary and maneuvering targets. Chinese J Aeronaut2015; 28(4): 1104–1120.
6.
YuJDongXLiQ, et al.Distributed cooperative encirclement hunting guidance for multiple flight vehicles system. Aeros Sci Tech2019; 95: 105475.
7.
TekinRErerKSHolzapfelF. Impact time control with generalized-polynomial range formulation. J Guid, Control, and Dyn2018; 41(5): 1190–1195.
8.
JeonISLeeJITahkMJ. Homing guidance law for cooperative attack of multiple missiles. J Guid, Control, and Dyn2010; 33(1): 275–280.
9.
ChenYWangJWangC, et al.A modified cooperative proportional navigation guidance law. J Franklin Inst2019; 356(11): 5692–5705.
10.
ZhaoQDongXLiangZ, et al.Distributed group cooperative guidance for multiple missiles with fixed and switching directed communication topologies. Nonlinear Dyn2017; 90(4): 2507–2523.
11.
ZhouJYangJ. Distributed guidance law design for cooperative simultaneous attacks with multiple missiles. J Guid, Control, and Dyn2016; 39(10): 2439–2447.
12.
LiKWangJLeeCH, et al.Distributed cooperative guidance for multivehicle simultaneous arrival without numerical singularities. J Guid, Control, and Dyn2020; 43(7): 1365–1373.
13.
JeonISLeeJITahkMJ. Impact-time-control guidance law for anti-ship missiles. IEEE Trans Control Sys Tech2006; 14(2): 260–266.
14.
JeonI-SLeeJ-ITahkM-J. Impact-time-control guidance with generalized proportional navigation based on nonlinear formulation. J Guid, Control, and Dyn2016; 39(8): 1885–1890.
15.
HuQHanTXinM. Sliding-mode impact time guidance law design for various target motions. J Guid, Control, and Dyn2019; 42(1): 136–148.
16.
WangPGuoYMaG, et al.New differential geometric guidance strategies for impact-time control problem. J Guid, Control, and Dyn2019; 42(9): 1982–1992.
17.
WangPGuoYMaG, et al.New look-angle tracking guidance strategy for impact time and angle control. J Guid, Control, and Dyn2022; 45(3): 545–557.
18.
ZhangYWangXWuH. Impact time control guidance law with field of view constraint. Aeros Sci Tech2014; 39: 361–369.
19.
YangZLinDFWangH. Impact time control guidance law with field-of-view limit. Systems Engineering and Electronics, 2016, 38, pp. 2122–2128.
20.
JeonISLeeJI. Impact-time-control guidance law with constraints on seeker look angle. IEEE Trans Aeros Electron Sys2017; 53(5): 2621–2627.
21.
KimHGKimHJ. Backstepping-based impact time control guidance law for missiles with reduced seeker field-of-view. IEEE Trans Aeros Electron Syst2019; 55(1): 82–94.
22.
ChoNLeeS. Look-angle-constrained control of arrival time with exact knowledge of time-to-go. J Guid, Control, and Dyn2021; 44(10): 1902–1908.
23.
KimHGLeeJYKimHJ, et al.Look-angle-shaping guidance law for impact angle and time control with field-of-view constraint. IEEE Trans Aeros Electron Syst2020; 56(2): 1602–1612.
24.
ChenYWangJWangC, et al.Three-dimensional cooperative homing guidance law with field-of-view constraint. J Guid, Control, and Dyn2020; 43(2): 389–397.
25.
HeSLeeCHShinHS, et al.Optimal three-dimensional impact time guidance with seekers field-of-view constraint. Chinese J Aeronaut2021; 34(2): 240–251.
26.
KumarSRMukherjeeD. Three-dimensional nonsingular impact time guidance with limited field-of-view. IEEE Trans Aeros Electron Syst2022; 30(4): 1448–1459.
27.
DongWWangCWangJ, et al.Three-dimensional nonsingular cooperative guidance law with different field-of-view constraints. J Guid, Control, and Dyn2021; 44(11): 2001–2015.
28.
DongWWangCWangJ, et al.Unified method for field-of-view-limited homing guidance. J Guid, Control, and Dyn2022; 45(8): 1415–1434.
29.
ChenYGuoDWangJ, et al.Cooperative circular guidance with nonuniform field-of-view constraints. J Guid, Control, and Dyn2022; 45(8): 1435–1450.
30.
RenWCaoY. Distributed Coordination of multi-agent networks. Communications and control engineering. London: Springer London, 2011.
31.
YuSYuXShirinzadehB, et al.Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica2005; 41(11): 1957–1964.
32.
SongSHHaIJ. A lyapunov-like approach to performance analysis of 3-dimensional pure png laws. IEEE Trans Aeros Electron Syst1994; 30(1), pp. 238–248.
