In this paper, an optimal sliding mode guidance law with impact angle constraint is proposed against maneuvering targets. Firstly, the impact angle frame for a static target is extended to a maneuvering target. Then, in this impact angle frame, the optimal reaching law of sliding mode is proposed to design an optimal sliding mode guidance law which is robust to target maneuvers and satisfies an impact angle constraint. The optimal sliding mode guidance law with impact angle constraint is also extended to the three-dimensional case. Numerical simulations in different scenarios with a realistic missile model show that the guidance law can intercept a maneuvering target with a desired impact angle, and the control effort is close to the optimal value, which verifies that the proposed optimal sliding mode guidance law has both robustness and optimality.
LeeCHKimTHTahkMJ. Design of impact angle control guidance laws via high-performance sliding mode control. Proc Inst Mech Eng G J Aerosp Eng2013; 227(2): 235–253.
2.
ShimaT. Intercept-angle guidance. J Guid Control Dyn2011; 34(2): 484–492.
3.
KumarSRSSGhoseD. Nonsingular terminal sliding mode guidance with impact angle constraints. J Guid Control Dyn2014; 37(4): 1114–1130.
4.
KumarSRRaoSGhoseD. Sliding-mode guidance and control for all-aspect interceptors with terminal angle constraints. J Guid Control Dyn2012; 35(4): 1230–1246.
5.
HeSMLinDFWangJ. Integral global sliding mode guidance for impact angle control. IEEE Trans Aerosp Electron Syst2019; 55(4): 1843–1849.
6.
ZarchanP. Tactical and strategic missile guidance. 5th ed.Washington, D.C., USA: AIAA, 2007, pp. 541–547.
7.
Ben-AsherJZYaeshI. Advances in Missile Guidance Theory (Progress in Astronautics and Aeronautics). Reston, VA, USA: AIAA, 1998, pp. 25–32.
8.
LeeYIKimSHTahkMJ. Optimality of linear time-varying guidance for impact angle control. IEEE Trans Aerosp Electron Syst2012; 48(4): 2802–2817.
9.
LeeCHKimTHTankMJ. Interception angle control guidance using proportional navigation with error feedback. J Guid Control Dyn2013; 36(5): 1556–1561.
10.
LeeCHKimTHTahkMJ, et al.Polynomial guidance laws considering terminal impact angle and acceleration constraints. IEEE Trans Aerosp Electron Syst2013; 49(1): 74–92.
11.
LeeCHSeoMG. New insights into guidance laws with terminal angle constraints. J Guid Control Dyn2018; 41(8): 1–6.
12.
LeeCHTahkMJLeeJI. Generalized formulation of weighted optimal guidance laws with impact angle constraint. IEEE Trans Aerosp Electron Syst2013; 49(2): 1317–1322.
13.
RyooCKChoHTahkMJ. Optimal guidance laws with terminal impact angle constraint. J Guid Control Dyn2005; 28(4): 724–732.
14.
RyooCKChoHTahkMJ. Time-to-go weighted optimal guidance with impact angle constraints. IEEE Trans Aerosp Electron Syst2006; 14(3): 483–492.
HuQLHanTXinM. Three-dimensional guidance for various target motions with terminal angle constraints using twisting control. IEEE Transactions on Industrial Electronics2020; 67(2): 1242–1253.
23.
WangXHWangJZ. Partial integrated guidance and control for missiles with three-dimensional impact angle constraints. J Guid Control Dyn2014; 37(2): 644–657.
ZhangBLZhouDOptimal predictive sliding-mode guidance law for intercepting near-space hypersonic maneuvering target.Chinese J Aeronaut, 2021(4). 35(4): 320–331.
26.
ZhouDMuCDXuWL. Adaptive sliding-mode guidance of a homing missile. J Guid Control Dyn1999; 22(4): 589–594.
27.
ZhouDSunSTeoKL. Guidance law with finite time convergence. J Guid Control Dyn2009; 32(6): 1838–1846.
28.
KimGH. Continuous integral sliding mode control of an offshore container crane with input saturation. Int J Control Autom Syst2020; 18(9): 2326–2336.
29.
ZhouDMuCDLingQ, et al.Optimal sliding-mode guidance of homing-missile. In Proceedings of the 38th IEEE Conference Decision and Control,Phoenix, Arizona, USA, December1999, pp. 5131–5136.
30.
WibbenDRFurfaroR. Optimal sliding guidance algorithm for Mars powered descent phase. Adv in Space Res2016; 57(4): 948–961.
31.
ChanSPGaoWBApproach algorithms for smooth tracking with variable structure controller. Pittsburgh, PA, USA: American Control Conference, 1989, pp. 706–711.
32.
GaoWB. Fundamentals of variable structure control theory. 1st ed.Beijing: Chinese Science and Technology Press, 1990, pp. 28–30. (in Chinese).
BensonDA. A Gauss pseudospectral transcription for optimal control. Cambridge, MA, USA: Ph.D. dissertation, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, 2004.
35.
KimBSLeeJGHanHS. Biased PNG law for impact with angular constraint. IEEE Trans Aerosp Electron Syst1998; 34(1): 277–288.
