A new guidance law considering missile autopilot dynamics is established via integrating a smooth super-twisting algorithm with nonlinear integral sliding mode. In this guidance law, a finite-time disturbance observer is introduced to estimate mismatched and matched disturbances resulting from target maneuvers. Based on Lyapunov stability theory, the finite-time stability of the closed-loop guidance system under this law is analyzed using a finite-time bounded function. The super-twisting algorithm guarantees that the proposed guidance law is chattering-free and the disturbance observer does not depend on the prior knowledge of target acceleration. So the proposed guidance law is easy to be implemented in practice. The finite-time convergence and robustness of the proposed guidance law are demonstrated via numerical simulations accounting for missile autopilot dynamics.
ZarchanP. Tactical and strategic missile guidance, 6th ed. Reston: AIAA, 2012, pp. 13–34.
2.
YuanPJChernJS. Ideal proportional navigation. J Guid Control Dynam1992; 15: 1161–1165.
3.
YangCDYangCC. Analytical solution of three-dimensional realistic true proportional navigation. J Guid Control Dynam1996; 19: 569–577.
4.
YangCDChenHY. Nonlinear robust guidance law for homing missiles. J Guid Control Dyn1998; 21: 882–890.
5.
ShiehCS. Design of three-dimensional missile guidance law via tunable nonlinear control with saturation constraint. IET Control Theory Appl2007; 1: 756–763.
BrielySDLongchampR. Application of sliding mode control to air-air interception problem. IEEE Trans Aerosp Electron Syst1990; 26: 306–325.
8.
ZhouDMuCDXuWL. Adaptive sliding-mode guidance of a homing missile. J Guid Control Dynam1999; 22: 589–594.
9.
MoonJKimKKimY. Design of missile guidance Law via variable structure control. J Guid Control Dynam2001; 24: 659–664.
10.
SunSZhouDHouWT. A guidance law with finite time convergence accounting for autopilot lag. Aerosp Sci Technol2013; 25: 132–137.
11.
KumarSRRaoSGhoseD. Nonsingular terminal sliding mode guidance with impact angle constraints. J Guid Control Dynam2014; 37: 1114–1130.
12.
LiangYWChenCCLiawDCet al.Robust guidance law via integral-sliding-mode scheme. J Guid Control Dynam2014; 37: 1038–1040.
13.
Utkin V, Guldner J and Ma SJ. Sliding mode control in electro-mechanical systems. 2nd edn. Boca Raton: CRC press, Taylor & Francis Group, 2009, pp.1–15.
14.
YuSHYuXHShirinzadehBet al.Continuous finite-time control for robotic manipulators with terminal sliding mode. Automaitca2005; 41: 1957–1964.
15.
LevantA. Sliding order and sliding accuracy in sliding mode control. Int J Control1993; 58: 1247–1263.
LevantA. Principles of 2-sliding mode design. Automatica2007; 43: 576–586.
18.
PolyakovAPoznyakA. Reaching time estimation for “super-twisting” second order sliding mode controller via Lyapunov function designing. IEEE Trans Autom Control2009; 54: 1951–1955.
19.
Moreno JA and Osorio M. A Lyapunov approach to second-order sliding mode controllers and observers. In: Proceedings of IEEE conference on decision and control, Cancun, Mexico, December 2008, pp.2856–2861.
20.
MorenoJAOsorioM. Strict Lyapunov functions for the super-twisting algorithm. IEEE Trans Autom Control2012; 57: 1035–1040.
21.
GonzalezTMorenoJAFridmanL. Variable gain super-twisting sliding mode control. IEEE Trans Autom Control2012; 57: 2100–2105.
22.
ShtesselYTalebMPlestanF. A novel adaptive-gain supertwisting sliding mode controller: Methodology and application. Automatica2012; 48: 759–769.
KhanIBhattiAIArshadAet al.Robustness and performance parameterization of smooth second-order sliding mode control. Int J Control Autom Syst2016; 14: 681–690.
ChenRHSpeyerJLLianosD. Optimal intercept missile guidance strategies with autopilot lag. J Guid Control Dynam2010; 33: 1264–1272.
27.
GolestaniMMohammadzamanIValiAR. Finite-time convergent guidance law based on integral backstepping control. Aerosp Sci Technol2014; 39: 370–376.
28.
QuPPZhouD. A dimension reduction observer-based guidance law accounting for dynamics of missile autopilot. Proc IMechE Part G: J Aerosp Eng2012; 227: 1114–1121.
29.
ZhouDQuPPSunS. A guidance law with terminal impact angle constraint accounting for missile autopilot. J Dyn Syst Meas Control Trans-ASME2013; 135: 051109-1–10.
30.
ZhouDXuB. Adaptive dynamic surface guidance law with input saturation constraint and autopilot dynamics. J Guid Control Dynam2016; 39: 1152–1159.
31.
ZhouDSunSTeoKL. Guidance laws with finite time convergence. J Guid Control Dynam2009; 32: 1838–1846.
32.
ChwaDYChoiJY. Adaptive nonlinear guidance law considering control loop dynamics. IEEE Trans Aerosp Electron Syst2003; 39: 1134–1143.
33.
QuPPShaoSTZhouD. Finite time convergence guidance law accounting for missile autopilot. J Dynam Syst Meas Control Trans-ASME2015; 137: 051014-1–7.
34.
YangJLiSHSuJYet al.Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances. Automatica2013; 49: 2287–2291.
35.
HuXL. An extension of Young’s inequality and its application. Appl Math Comput2013; 219: 6393–6399.
36.
BhatSPBernsteinDS. Geometric homogeneity with applications to finite-time stability. Math Control Signal Syst2005; 17: 101–127.
