A new continuous adaptive finite time guidance law against highly maneuvering targets

Abstract A novel continuous adaptive finite time guidance (CAFTG) law is proposed for homing missiles. Firstly, three-dimensional nonlinear dynamics describing the pursuit situation of the missile and the target are introduced to obtain the mathematical model of engagement. Secondly, in order to improve the accuracy of interception, a nonlinear disturbance observer with finite time convergence is employed to estimate the acceleration of a target and compensate the guidance law. A continuous guidance scheme with robustness is constructed via sliding mode control theory, which guarantees finite time convergence by Lyapunov stability theory. Finally, simulations are conducted on the nonlinear dynamic models and results demonstrate the effectiveness of proposed guidance method.

[1]  Ali Mohammadi,et al.  A new observer-based chattering-free sliding mode guidance law , 2016 .

[2]  C. Johnson,et al.  Dual-mode disturbance-accommodating pointing controller for Hubble Space Telescope , 1995 .

[3]  Antonios Tsourdos,et al.  A New Three-Dimensional Sliding Mode Guidance Law Variation With Finite Time Convergence , 2017, IEEE Transactions on Aerospace and Electronic Systems.

[4]  Di Zhou,et al.  Adaptive Sliding-Mode Guidance of a Homing Missile , 1999 .

[5]  Zhijie Liu,et al.  Disturbance observer based attitude control for flexible spacecraft with input magnitude and rate constraints , 2018 .

[6]  H. Jin Kim,et al.  Impact angle constrained sliding mode guidance against maneuvering target with unknown acceleration , 2015, IEEE Transactions on Aerospace and Electronic Systems.

[7]  Shen-Min Song,et al.  Adaptive reaching law based three-dimensional finite-time guidance law against maneuvering targets with input saturation , 2017 .

[8]  Jin-Ik Lee,et al.  Optimality of Proportional Navigation Based on Nonlinear Formulation , 2010 .

[9]  Shenmin Song,et al.  Three-dimensional adaptive finite-time guidance law for intercepting maneuvering targets , 2017 .

[10]  Sanjay E. Talole,et al.  Design of Three-Dimensional Guidance Law for Tactical Missiles , 2018 .

[11]  Ilan Rusnak,et al.  All-Aspect Three-Dimensional Guidance Law Based on Feedback Linearization , 2015 .

[12]  Jean-Jacques E. Slotine,et al.  Adaptive sliding controller synthesis for non-linear systems , 1986 .

[13]  Zhihong Man,et al.  Continuous finite-time control for robotic manipulators with terminal sliding mode , 2003, Autom..

[14]  Lei Guo,et al.  Multi-objective robust initial alignment algorithm for Inertial Navigation System with multiple disturbances☆ , 2012 .

[15]  Lei Guo,et al.  Disturbance-Observer-Based Control and Related Methods—An Overview , 2016, IEEE Transactions on Industrial Electronics.

[16]  Lei Guo,et al.  Nonlinear-Disturbance-Observer-Based Robust Flight Control for Airbreathing Hypersonic Vehicles , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[17]  Jun Zhou,et al.  A new sliding mode control design for integrated missile guidance and control system , 2018, Aerospace Science and Technology.

[18]  Richard Stobart,et al.  Design of UDE‐based controllers from their two‐degree‐of‐freedom nature , 2011 .

[19]  A. Levant.  Robust exact differentiation via sliding mode technique , 1998 .

[20]  Zhenxing Zhang,et al.  Terminal guidance laws of missile based on ISMC and NDOB with impact angle constraint , 2013 .

[21]  A. Levant,et al.  Guidance and Control of Missile Interceptor using Second-Order Sliding Modes , 2009, IEEE Transactions on Aerospace and Electronic Systems.

[22]  Di Zhou,et al.  Design of three-dimensional nonlinear guidance law with bounded acceleration command , 2015 .

[23]  Yuri Ulybyshev.  Terminal Guidance Law Based on Proportional Navigation , 2005 .

[24]  Yuri B. Shtessel,et al.  Smooth second-order sliding modes: Missile guidance application , 2007, Autom..

[25]  S. Vathsal,et al.  Analysis of generalized guidance laws for homing missiles , 1995 .

[26]  Arie Levant,et al.  Higher-order sliding modes, differentiation and output-feedback control , 2003 .

[27]  Yongji Wang,et al.  Time-to-go estimation for terminal sliding mode based impact angle constrained guidance , 2017 .

[28]  Aldo Balestrino,et al.  Nonlinear adaptive model-following control , 1984, Autom..

[29]  J. Chern,et al.  Ideal Proportional Navigation , 1992 .

[30]  Yu Yao,et al.  Guidance law implementation with performance recovery using an extended high-gain observer , 2013 .

[31]  Bo Li,et al.  Disturbance observer based finite-time attitude control for rigid spacecraft under input saturation , 2014 .

[32]  Shaoming He,et al.  Adaptive nonsingular sliding mode based guidance law with terminal angular constraint , 2014 .

[33]  Christopher Edwards,et al.  Sliding Mode Control and Observation , 2013 .

[34]  J. Chern,et al.  Solutions of true proportional navigation for maneuvering and nonmaneuvering targets , 1992 .

[35]  Shenmin Song,et al.  Adaptive nonsingular fast terminal sliding mode guidance law with impact angle constraints , 2017, 2017 Eighth International Conference on Intelligent Control and Information Processing (ICICIP).

[36]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[37]  Shashi Ranjan Kumar,et al.  Three-dimensional impact angle guidance with coupled engagement dynamics , 2017 .

[38]  P. D. Shendge,et al.  Sliding Mode Control for Mismatched Uncertain Systems Using an Extended Disturbance Observer , 2014, IEEE Transactions on Industrial Electronics.

[39]  Debasish Ghose,et al.  Pure proportional navigation against time-varying target manoeuvres , 1996 .