Retro-Proportional-Navigation: A New Guidance Law for Interception of High-Speed Targets

In this paper, a new proportional-navigation guidance law, called retro-proportional-navigation, is proposed. The guidance law is designed to intercept targets that are of higher speeds than the interceptor. This is a typical scenario in a ballistic target interception. The capture region analysis for both proportional-navigation and retro-proportional-navigation guidance laws are presented. The study shows that, at the cost of a higher intercept time, the retro-proportional-navigation guidance law demands lower terminal lateral acceleration than proportional navigation and can intercept high-velocity targets from many initial conditions that the classical proportional navigation cannot. Also, the capture region with the retro-proportional-navigation guidance law is shown to be larger compared with the classical proportional-navigation guidance law.

[1]  Feng Tyan.  Unified approach to missile guidance laws: a 3D extension , 2005 .

[2]  E. Duflos,et al.  3D guidance law modeling , 1999 .

[3]  Feng Tyan,et al.  Capture region of a three dimensional PPN guidance law against a high speed-nonmaneuvering target , 2008, 2008 American Control Conference.

[4]  Mauricio Guelman,et al.  A qualitative study of proportional navigation , 1971, IEEE Transactions on Aerospace and Electronic Systems.

[5]  D. Ghose,et al.  Launch Envelope Optimization of Virtual Sliding Target Guidance Scheme , 2009, IEEE Transactions on Aerospace and Electronic Systems.

[6]  Debasish Ghose,et al.  Empirical virtual sliding target guidance law design: an aerodynamic approach , 2003 .

[7]  Debasish Ghose,et al.  A generalized guidance law for intercepting high speed targets , 2007 .

[8]  Stephen A. Murtaugh,et al.  Fundamentals of proportional navigation , 1966, IEEE Spectrum.

[9]  Feng Tyan,et al.  Capture Region of a GIPN Guidance Law for Missile and Target with Bounded Maneuverability , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[10]  George M Siouris,et al.  Missile Guidance and Control Systems , 2004 .

[11]  Antonios Tsourdos,et al.  Differential Geometric Guidance Based on the Involute of the Target's Trajectory , 2005 .

[12]  R. Broadston,et al.  Hybrid Guidance Laws for Improved Missile Intercept Ranges , 2002 .

[13]  M. Guelman.  Proportional Navigation with a Maneuvering Target , 1972, IEEE Transactions on Aerospace and Electronic Systems.

[14]  Gyorgy Hexner,et al.  Stochastic optimal control guidance law with bounded acceleration , 2007 .

[15]  K. Becker.  Closed-form solution of pure proportional navigation , 1990 .

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

[17]  Tal Shima,et al.  Head Pursuit Guidance for Hypervelocity Interception , 2004 .

[18]  Tal Shima,et al.  Head Pursuit Guidance , 2007 .

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