Guidance strategies for interceptor against active defense spacecraft in two-on-two engagement

Abstract This paper investigates the guidance problem for interceptors against spacecraft with active defense in a two-on-two engagement. There are four adversaries in the engagement which are interceptor, protector, spacecraft and active defender. The interceptor is required to capture the spacecraft and evade the defender with the assist of the protector. Two classes of guidance laws are proposed based on norm differential game strategy and linear quadratic differential game strategy, respectively. Interceptor using norm differential game guidance laws is able to pursue the spacecraft without being intercepted by defender, even though the maneuverability of both interceptor and protector is lower than defender. Additionally, linear quadratic differential game guidance laws derived by numerical solution of Riccati differential equation take into account the control saturation, fuel cost and chattering phenomenon simultaneously. Finally, the effectiveness and performance of the developed guidance approaches are demonstrated by nonlinear numerical simulations.

[1]  Tal Shima,et al.  Cooperative Differential Games Guidance Laws for Imposing a Relative Intercept Angle , 2017 .

[2]  Eloy Garcia,et al.  Cooperative Missile Guidance for Active Defense of Air Vehicles , 2018, IEEE Transactions on Aerospace and Electronic Systems.

[3]  Tal Shima,et al.  Cooperative Guidance Law for Target Pair to Lure Two Pursuers into Collision , 2018, Journal of Guidance, Control, and Dynamics.

[4]  Dusan M. Stipanovic,et al.  Guaranteed decentralized pursuit-evasion in the plane with multiple pursuers , 2011, IEEE Conference on Decision and Control and European Control Conference.

[5]  Raffaello D'Andrea,et al.  A decomposition approach to multi-vehicle cooperative control , 2005, Robotics Auton. Syst..

[6]  Zhaowei Sun,et al.  Satellite proximate interception vector guidance based on differential games , 2018, Chinese Journal of Aeronautics.

[7]  Jun Zhou,et al.  A new continuous adaptive finite time guidance law against highly maneuvering targets , 2019, Aerospace Science and Technology.

[8]  Zhengtao Ding,et al.  Robust finite-time guidance against maneuverable targets with unpredictable evasive strategies , 2018, Aerospace Science and Technology.

[9]  Tal Shima,et al.  Cooperative Nonlinear Guidance Strategies for Aircraft Defense , 2017 .

[10]  Zixuan Liang,et al.  Fractional Calculus Guidance Algorithm in a Hypersonic Pursuit-Evasion Game , 2017 .

[11]  Qi Naiming,et al.  Differential game strategy in three-player evasion and pursuit scenarios , 2018 .

[12]  Shaul Gutman,et al.  Three-Player Pursuit and Evasion Conflict , 2014 .

[13]  Ilan Rusnak,et al.  Guidance Laws in Defense against Missile Attack with Acceleration Constrained Players , 2010 .

[14]  Yang Tao,et al.  Adaptive high‐order dynamic sliding mode control for a flexible air‐breathing hypersonic vehicle , 2013 .

[15]  Takeshi Yamasaki,et al.  Triangle Intercept Guidance for Aerial Defense , 2010 .

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

[17]  Tal Shima,et al.  Linear Quadratic Optimal Cooperative Strategies for Active Aircraft Protection , 2012 .

[18]  G. Anderson.  Comparison of Optimal Control and Differential Game Intercept Missile Guidance Laws , 1981 .

[19]  Jun Zhao,et al.  Evasion and pursuit guidance law against defended target , 2017 .

[20]  Rufus Isaacs,et al.  Differential Games , 1965 .

[21]  Tal Shima,et al.  Optimal Cooperative Pursuit and Evasion Strategies Against a Homing Missile , 2011 .

[22]  S. Rubinsky,et al.  Three Body Guaranteed Pursuit and Evasion , 2012 .

[23]  Lei Chen,et al.  Coverage-based cooperative guidance strategy against highly maneuvering target , 2017 .

[24]  Antonios Tsourdos,et al.  Cooperative interception strategy for multiple inferior missiles against one highly maneuvering target , 2018, Aerospace Science and Technology.

[25]  Tal Shima,et al.  Cooperative Differential Games Strategies for Active Aircraft Protection from a Homing Missile , 2010 .

[26]  Eloy Garcia,et al.  Cooperative Strategies for Optimal Aircraft Defense from an Attacking Missile , 2015 .

[27]  Yaakov Oshman,et al.  Stochastic Cooperative Interception Using Information Sharing Based on Engagement Staggering , 2016 .

[28]  Roger Boyell,et al.  Defending a Moving Target Against Missile or Torpedo Attack , 1976, IEEE Transactions on Aerospace and Electronic Systems.

[29]  N. A. Shneydor,et al.  Comments on "Defending a Moving Target Against Missile or Topedo Attack" , 1977 .