Vision-based adaptive guidance law for intercepting a manoeuvring target

This article introduces an adaptive guidance law for intercepting a manoeuvring target using information from an imaging seeker. The relative missile–target kinematics is represented in the line-of-sight (LOS) frame, and the image information – instead of the relative range – is introduced to formulate the interception problem as an adaptive control problem with an unknown control coefficient. Considering the target's acceleration as a time-varying bounded external disturbance, an estimator with an adaptive property is derived. It is proven that the proposed guidance law can guarantee the LOS angular rates global uniform ultimate boundedness during the terminal course. The effectiveness of the proposed guidance law has been demonstrated in simulations for two kinds of typical manoeuvring targets.

[1]  V. Aidala,et al.  Utilization of modified polar coordinates for bearings-only tracking , 1983 .

[2]  Yeong-Chan Chang Intelligent robust control for uncertain nonlinear time-varying systems and its application to robotic systems , 2005, IEEE Trans. Syst. Man Cybern. Part B.

[3]  Zhengtao Ding,et al.  Robust tracking control of uncertain nonlinear systems with unknown control directions , 2001 .

[4]  Xudong Ye,et al.  Asymptotic regulation of time-varying uncertain nonlinear systems with unknown control directions , 1999, Autom..

[5]  E. Ryan A universal adaptive stabilizer for a class of nonlinear systems , 1991 .

[6]  F. Hong,et al.  Robust adaptive control for a class of uncertain strict‐feedback nonlinear systems , 2009 .

[7]  R. Nussbaum Some remarks on a conjecture in parameter adaptive control , 1983 .

[8]  Taek Lyul Song,et al.  Practical guidance for homing missiles with bearings-only measurements , 1996 .

[9]  Naira Hovakimyan,et al.  Visual Tracking of a Maneuvering Target , 2006 .

[10]  L. Praly,et al.  Adaptive nonlinear regulation: estimation from the Lyapunov equation , 1992 .

[11]  Ye Xudong Brief Asymptotic regulation of time-varying uncertain nonlinear systems with unknown control directions , 1999 .

[12]  Taek Lyul Song,et al.  Practical guidance for homing missiles with bearings-only measurements , 1996, IEEE Transactions on Aerospace and Electronic Systems.

[13]  Jing Wang,et al.  Robust adaptive tracking for time-varying uncertain nonlinear systems with unknown control coefficients , 2003, IEEE Trans. Autom. Control..

[14]  Paul Zarchan,et al.  Tactical and strategic missile guidance , 1990 .

[15]  A. Betser,et al.  Automatic tracking of flying vehicles using geodesic snakes and Kalman filtering , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[16]  Paul Zarchan,et al.  A New Look at Classical vs Modern Homing Missile Guidance , 1981 .

[17]  Yongsheng Zhao,et al.  Adaptive Autopilot Design of Time-Varying Uncertain Ships With Completely Unknown Control Coefficient , 2007, IEEE Journal of Oceanic Engineering.

[18]  Joseph Z. Ben-Asher,et al.  Advances in Missile Guidance Theory , 1998 .

[19]  Yingwei Zhang,et al.  Adaptive actuator fault compensation for linear systems with matching and unmatching uncertainties , 2009 .

[20]  Jing Wang,et al.  Robust adaptive control of a class of nonlinearly parameterized time-varying uncertain systems , 2009, 2009 American Control Conference.

[21]  Chengyu Cao,et al.  Guaranteed Transient Performance with L1 Adaptive Controller for Systems with Unknown Time-varying Parameters and Bounded Disturbances: Part I , 2007, 2007 American Control Conference.

[22]  Taek Lyul Song,et al.  Observability of target tracking with bearings-only measurements , 1996 .

[23]  Yingwei Zhang,et al.  Adaptive Actuator/Component Fault Compensation for Nonlinear Systems , 2008 .

[24]  V. Aidala Kalman Filter Behavior in Bearings-Only Tracking Applications , 1979, IEEE Transactions on Aerospace and Electronic Systems.

[25]  Zhengtao Ding,et al.  Universal disturbance rejection for nonlinear systems in output feedback form , 2003, IEEE Trans. Autom. Control..

[26]  X. Ye,et al.  Adaptive nonlinear design without a priori knowledge of control directions , 1998, IEEE Trans. Autom. Control..

[27]  Shuzhi Sam Ge,et al.  Robust adaptive stabilization for time varying uncertain nonlinear systems with unknown control coefficients , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[28]  Naira Hovakimyan,et al.  Adaptive Disturbance Rejection Controller for Visual Tracking of a Maneuvering Target , 2007 .

[29]  Naira Hovakimyan,et al.  adaptive controller for systems with unknown time-varying parameters and disturbances in the presence of non-zero trajectory initialization error , 2008, Int. J. Control.

[30]  Chengyu Cao,et al.  L1 adaptive controller for nonlinear systems in the presence of unmodelled dynamics: Part II , 2008, 2008 American Control Conference.

[31]  Zhengtao Ding,et al.  Adaptive control of non‐linear systems with unknown virtual control coefficients , 2000 .

[32]  I. G. Sarma,et al.  Switched bias proportional navigation for homing guidance against highly maneuvering targets , 1994 .

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

[34]  Jiang Wang,et al.  Intelligent Excitation for Adaptive Control With Unknown Parameters in Reference Input , 2007, IEEE Transactions on Automatic Control.

[35]  Cheng-Chew Lim,et al.  Observability analysis of two closed-loop guidance systems with bearings-only measurements , 2000 .