Three-Dimensional Impact Time and Angle Control Guidance Based on MPSP

A new nonlinear guidance law for air-to-ground missile cooperation attacks is proposed in this paper. This guidance law enables missiles with different initial conditions to attack targets simultaneously, and it can also precisely satisfy the terminal impact angle conditions in both flight-path angle and heading angle. The guidance law is devised using the model predictive static programming (MPSP) method, and the control saturation constraint is incorporated in the MPSP algorithm. The first-order-lag acceleration of the missile is taken as the state variable to realize the convergence of the terminal acceleration to zero. Moreover, a collision avoidance strategy for three-dimensional missile cooperative flight is proposed. The simulation results show that the guidance law can make the missiles hit the target accurately at the same time with the ideal impact angles and can realize the control saturation constraints of the missiles. This can increase the attack effects and is significant for collaborative attacks.

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

[2]  Nathan Harl,et al.  Impact Time and Angle Guidance with Sliding Mode Control , 2009 .

[3]  Zhou Rui,et al.  Cooperative Guidance for Multimissile Salvo Attack , 2008 .

[4]  Youan Zhang,et al.  Guidance law with impact time and impact angle constraints , 2013 .

[5]  Shashi Ranjan Kumar,et al.  Impact Time and Angle Control Guidance , 2015 .

[6]  Wan Zhang,et al.  A Two-Phased Guidance Law for Impact Angle Control with Seeker’s Field-of-View Limit , 2018 .

[7]  Debasish Ghose,et al.  Sliding mode control based guidance law with impact time constraints , 2013, 2013 American Control Conference.

[8]  R. Courant Variational methods for the solution of problems of equilibrium and vibrations , 1943 .

[9]  Min-Jea Tahk,et al.  Closed-form solutions of optimal guidance with terminal impact angle constraint , 2003, Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003..

[10]  Hui Wang,et al.  A New Impact Time and Angle Control Guidance Law for Stationary and Nonmaneuvering Targets , 2016 .

[11]  Fumiaki Imado,et al.  A New Missile Guidance Algorithm Against A Maneuvering Target , 1998 .

[12]  Gregg A. Harrison,et al.  Hybrid Guidance Law for Approach Angle and Time-of-Arrival Control , 2012 .

[13]  Min-Jea Tahk,et al.  Augmented Polynomial Guidance With Impact Time and Angle Constraints , 2013, IEEE Transactions on Aerospace and Electronic Systems.

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

[15]  Ernest J. Ohlmeyer,et al.  Evaluation of Two Guidance Laws for Controlling the Impact Flight Path Angle of a Naval Gun Launched Spinning Projectile , 2006 .

[16]  Min-Jea Tahk,et al.  Impact-time-control guidance law for anti-ship missiles , 2006, IEEE Trans. Control. Syst. Technol..

[17]  H. Jin Kim,et al.  Differential Game Missile Guidance with Impact Angle and Time Constraints , 2011 .

[18]  Youan Zhang,et al.  Impact time control guidance law with field of view constraint , 2014 .

[19]  Radhakant Padhi,et al.  Impact-Angle-Constrained Suboptimal Model Predictive Static Programming Guidance of Air-to-Ground Missiles , 2012 .

[20]  Radhakant Padhi,et al.  Suboptimal reentry guidance of a reusable launch vehicle using pitch plane maneuver , 2010 .

[21]  Harshal B. Oza,et al.  Generalized Model Predictive Static Programming and Angle-Constrained Guidance of Air-to-Ground Missiles , 2014 .

[22]  Daekyu Sang,et al.  Impact angle control guidance law using lyapunov function and PSO method , 2007, SICE Annual Conference 2007.

[23]  Radhakant Padhi,et al.  Model Predictive Static Programming: A Computationally Efficient Technique For Suboptimal Control Design , 2009 .

[24]  Debasish Ghose,et al.  Three dimensional retro-PN based impact time control for higher speed nonmaneuvering targets , 2013, 52nd IEEE Conference on Decision and Control.

[25]  L. Shampine,et al.  Numerical Solution of Ordinary Differential Equations. , 1995 .

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