Inscribed-Angle Guidance Against Moving Targets

Inscribed-angle guidance for intercepting moving targets while enforcing an intercept angle is proposed and investigated. A relation between inscribed-angle guidance and parallel navigation is noticed, showing that a collision course can be obtained for a specific constant inscribed angle. The resulting impact angle for the inscribed-angle guidance against moving targets is studied and compared with the stationary target case. Closed-form solutions for the intercept trajectories are obtained based on elliptic integrals for two special cases, where the target moves toward and away from the launch point. Simulation results are presented for various scenarios against nonmaneuvering and constant maneuvering targets.

[1]  A. G. Greenhill,et al.  Handbook of Mathematical Functions with Formulas, Graphs, , 1971 .

[2]  Debasish Ghose,et al.  Impact Angle Constrained Interception of Stationary Targets , 2008 .

[3]  Tal Shima,et al.  Inscribed Angle Guidance , 2015 .

[4]  Min-Jea Tahk,et al.  Optimal Guidance Laws with Terminal Impact Angle Constraint , 2005 .

[5]  A.V. Savkin,et al.  Method for optical-flow-based precision missile guidance , 2008, IEEE Transactions on Aerospace and Electronic Systems.

[6]  Nathan Harl,et al.  Impact Time and Angle Guidance With Sliding Mode Control , 2009, IEEE Transactions on Control Systems Technology.

[7]  Ping Lu,et al.  Closed-Loop Optimization of Guidance Gain for Constrained Impact , 2017 .

[8]  Debasish Ghose,et al.  Impact Angle Constrained Guidance Against Nonstationary Nonmaneuvering Targets , 2010 .

[9]  Tal Shima,et al.  Line-of-Sight Interceptor Guidance for Defending an Aircraft , 2011 .

[10]  David B. Doman,et al.  Adaptive Terminal Guidance for Hypervelocity Impact in Specified Direction , 2005 .

[11]  Min-Jea Tahk,et al.  Time-to-go weighted optimal guidance with impact angle constraints , 2006, IEEE Transactions on Control Systems Technology.

[12]  Bong-Gyun Park,et al.  Composite Guidance Scheme for Impact Angle Control Against a Nonmaneuvering Moving Target , 2016 .

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

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

[15]  Tayfun Çimen,et al.  Survey of State-Dependent Riccati Equation in Nonlinear Optimal Feedback Control Synthesis , 2012 .

[16]  Andrey V. Savkin,et al.  Precision missile guidance using radar/multiple-video sensor fusion via communication channels with bit-rate constraints , 2006, Autom..

[17]  Moshe Idan,et al.  Optimal planar interception with terminal constraints , 1995 .

[18]  Andrey V. Savkin,et al.  Circular Navigation Missile Guidance with Incomplete Information and Uncertain Autopilot Model , 2003 .

[19]  Min-Jea Tahk,et al.  Range-to-go weighted optimal guidance with impact angle constraint and seeker's look angle limits , 2016, IEEE Transactions on Aerospace and Electronic Systems.

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

[21]  Takeshi Yamasaki,et al.  Modified Command to Line-of-Sight Intercept Guidance for Aircraft Defense , 2013 .

[22]  O. R. S. Elnan,et al.  Interception of High-Speed Target by Beam Rider Missile , 1963 .

[23]  Ashwini Ratnoo,et al.  Three-Point Guidance for Intercepting Weaving Targets , 2016 .

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

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

[26]  N. A. Shneydor.  Chapter 2 – Line-of-Sight Guidance , 1998 .

[27]  Tal Shima,et al.  Optimal Guidance Around Circular Trajectories for Impact-Angle Interception , 2016 .

[28]  Ashwini Ratnoo,et al.  Analysis of Two-Stage Proportional Navigation with Heading Constraints , 2016 .

[29]  Debasish Ghose,et al.  State-Dependent Riccati-Equation-Based Guidance Law for Impact-Angle-Constrained Trajectories , 2009 .

[30]  Koray S. Erer,et al.  Impact Time and Angle Control Based on Constrained Optimal Solutions , 2016 .

[31]  S. R. Kumar,et al.  Nonsingular Terminal Sliding Mode Guidance with Impact Angle Constraints , 2014 .

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

[33]  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.

[34]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[35]  T. Shima,et al.  Linear Quadratic Guidance Laws for Imposing a Terminal Intercept Angle , 2008 .

[36]  J. E. Cochran,et al.  Analytical solutions to a guidance problem , 1991 .

[37]  Debasish Ghose,et al.  Nonlinear Differential Games-Based Impact-Angle-Constrained Guidance Law , 2015 .

[38]  Koray S. Erer,et al.  Switched-Gain Guidance for Impact Angle Control Under Physical Constraints , 2015 .