Lateral Interception of Maneuvering Targets Using Dubins Paths

The concept of Dubins paths is used here for lateral interception of a maneuvering target. Both the interceptor and the target are turn-rate constrained vehicles moving with constant speeds. A planar engagement scenario is considered where the target executes a step lateral acceleration maneuver to steer away from the interceptor. The path length expression is derived for the interceptor which is following Dubins path. A set of non-linear equations associated with the interception scenario is used to design the guidance scheme. The strategy yields a set of Dubins paths from which the shortest path can be selected for implementation.

[1]  S.K. Jeong,et al.  Angle constraint biased PNG , 2004, 2004 5th Asian Control Conference (IEEE Cat. No.04EX904).

[2]  Debasish Ghose,et al.  Kill-Band-Based Lateral Impact Guidance Without Line-of-Sight Rate Information , 2012 .

[3]  Debasish Ghose,et al.  Optimal path planning for an aerial vehicle in 3D space , 2010, 49th IEEE Conference on Decision and Control (CDC).

[4]  Debasish Ghose,et al.  A modified dubins problem with partially restricted terminal conditions , 2013, 2013 IEEE International Conference on Control Applications (CCA).

[5]  Shashi Ranjan Kumar,et al.  Sliding-Mode Guidance and Control for All-Aspect Interceptors with Terminal Angle Constraints , 2012 .

[6]  L. Dubins.  On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents , 1957 .

[7]  Andrey V. Savkin,et al.  Circular-Navigation-Guidance Law for Precision Missile/Target Engagements , 2006 .

[8]  Vladimir J. Lumelsky,et al.  Classification of the Dubins set , 2001, Robotics Auton. Syst..

[9]  Taek Lyul Song,et al.  Impact angle control for planar engagements , 1999 .

[10]  Tal Shima,et al.  Intercept-Angle Guidance , 2011 .

[11]  Debasish Ghose,et al.  Biased PN based impact angle constrained guidance using a nonlinear engagement model , 2012, 2012 American Control Conference (ACC).

[12]  M. Kim,et al.  Terminal Guidance for Impact Attitude Angle Constrained Flight Trajectories , 1973, IEEE Transactions on Aerospace and Electronic Systems.

[13]  Jang Gyu Lee,et al.  Biased PNG law for impact with angular constraint , 1998 .

[14]  M. Tahk,et al.  Bias-Shaping Method for Biased Proportional Navigation with Terminal-Angle Constraint , 2013 .

[15]  Chang-Hun Lee,et al.  Design of impact angle control guidance laws via high-performance sliding mode control , 2013 .

[16]  Debasish Ghose,et al.  Optimal geometrical path in 3D with curvature constraint , 2010, 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[17]  M. Yoon.  Relative circular navigation guidance for the impact angle control problem , 2008 .