A new composite guidance law for intercepting manoeuvring targets with desired terminal line-of-sight (LOS) angle constraint is proposed in this paper. The presented guidance law is derived through generalized model predictive control (GMPC) augmented by a target manoeuvre estimator. More specifically, the target manoeuvre estimator is used to estimate and compensate for the unknown target manoeuvre online while the GMPC is used to obtain optimal LOS angle tracking performance. Stability analysis shows that the LOS angle tracking error and the LOS angular rate can converge to a sufficiently small region around zero asymptotically. The effectiveness of the proposed guidance law is validated by applying it to a surface-to-air missile for intercepting a head-on manoeuvring target under different scenarios.
Ben-AsherJYaeshI (1998) Advances in Missile Guidance Theory. New York: American Institute of Aeronautics and Astronautics Publications.
2.
BhatSPBernsteinDS (2000) Finite-time stability of continuous autonomous systems. SIAM Journal on Control and Optimization38(3): 751–766.
3.
ChenWHBallanceDJGawthropPJ (2003) Optimal control of nonlinear systems: a predictive control approach. Automatica39(4): 633–641.
4.
ChoHRyooCKTsourdosA. (2014) Optimal impact angle control guidance law based on linearization about collision triangle. Journal of Guidance, Control, and Dynamics37(3): 958–964.
5.
ErerKSMerttopçuoğluO (2012) Indirect impact-angle-control against stationary targets using biased pure proportional navigation. Journal of Guidance, Control, and Dynamics35(2): 700–704.
6.
HeSLinDWangJ (2015) Continuous second-order sliding mode based impact angle guidance law. Aerospace Science and Technology41: 199–208.
7.
KimMGriderKV (1973) Terminal guidance for impact attitude angle constrained flight trajectories. IEEE Transactions on Aerospace and Electronic Systems9(6): 852–859.
8.
KimBSLeeJGHanHS (1998) Biased PNG law for impact with angular constraint. IEEE Transactions on Aerospace and Electronic Systems34(1): 277–288.
9.
KumarSRRaoSGhoseD (2012) Sliding-mode guidance and control for all-aspect interceptors with terminal angle constraints. Journal of Guidance, Control, and Dynamics35(4): 1230–1246.
10.
KumarSRRaoSGhoseD (2014) Nonsingular terminal sliding mode guidance with impact angle constraints. Journal of Guidance, Control, and Dynamics37(4): 1114–1130.
11.
LeeYIKimSHTahkMJ (2013a) Analytic solutions of optimal angularly constrained guidance for first-order lag system. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering227(5): 827–837.
12.
LeeCHKimTHTahkMJ (2013b) Interception angle control guidance using proportional navigation with error feedback. Journal of Guidance, Control, and Dynamics36(5): 1556–1561.
13.
LuP (1995) Optimal predictive control of continuous nonlinear systems. International Journal of Control62(3): 633–649.
14.
MaederUMorariM (2010) Offset-free reference tracking with model predictive control. Automatica, 46(9): 1469–1476.
15.
MorenoJAOsorioM (2012) Strict Lyapunov functions for the super-twisting algorithm. IEEE Transactions on Automatic Control57(4): 1035–1040.
16.
NeslineFWZarchanP (1981) A new look at classical vs modern homing missile guidance. Journal of Guidance, Control, and Dynamics4(1): 78–85.
17.
OhlmeyerEJPhillipsCA (2006) Generalized vector explicit guidance. Journal of Guidance, Control, and Dynamics29(2): 261–268.
18.
PhadkeSBTaloleSE (2012) Sliding mode and inertial delay control based missile guidance. IEEE Transactions on Aerospace and Electronic Systems48(4): 3331–3346.
19.
RyooCKChoHTahkMJ (2005) Optimal guidance laws with terminal impact angle constraint. Journal of Guidance, Control, and Dynamics28(4): 724–732.
20.
RyooCKChoHTahkMJ (2006) Time-to-go weighted optimal guidance with impact angle constraints. IEEE Transactions on Control Systems Technology14(3): 483–492.
21.
ShimaT (2011) Intercept-angle guidance. Journal of Guidance, Control, and Dynamics34(2): 484–492.
22.
TaloleSEGhoshAPhadkeSB (2006) Proportional navigation guidance using predictive and time delay control. Control Engineering Practice14(12): 1445–1453.
23.
TaubIShimaT (2013) Intercept angle missile guidance under time varying acceleration bounds. Journal of Guidance, Control, and Dynamics36(3): 686–699.
24.
WangXWangJ (2014) Partial integrated guidance and control for missiles with three-dimensional impact angle constraints. Journal of Guidance, Control, and Dynamics37(2): 644–657.
25.
XiongSWangWLiuX. (2014) Guidance law against maneuvering targets with intercept angle constraint. ISA Transactions53(4): 1332–1342.
26.
ZhangZLiSLuoS (2013a) Composite guidance laws based on sliding mode control with impact angle constraint and autopilot lag. Transactions of the Institute of Measurement and Control35(6): 764–776.
27.
ZhangZLiSLuoS (2013b) Terminal guidance laws of missile based on ISMC and NDOB with impact angle constraint. Aerospace Science and Technology31(1): 30–41.
