טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentAndrey Perelman
SubjectCooperative Pursuit-Evasion Strategies in Missile
Interception Engagements
DepartmentDepartment of Aerospace Engineering
Supervisor Full Professor Shima Tal
Full Thesis textFull thesis text - English Version


Abstract

Cooperative pursuit-evasion strategies, for a team composed of two agents, are derived. The specific problem of interest is that of protecting a target aircraft from a homing missile. The target aircraft performs evasive maneuvers and launches a defending missile to intercept the homing missile. The problem is analyzed using a linear quadratic differential game formulation, for arbitrary order linear players' dynamics, in the continuous and discrete domains. Perfect information is assumed. The analytic continuous and numeric discrete solutions are presented for zero-lag adversaries' dynamics. The solution of the game provides: 1) the optimal cooperative evasion strategy for the target aircraft; 2) the optimal cooperative pursuit strategy for the defending missile; 3) the optimal strategy of the homing missile for pursuing the target aircraft and for evading the defender missile. The obtained guidance laws are dependent on the zero effort miss distances of two pursuer-evader pairs: homing missile - target aircraft, and defender missile - homing missile. Conditions for the existence of a saddle point solution are derived and the navigation gains are analyzed for various limiting cases. Nonlinear two-dimensional simulation results are used to validate the theoretical analysis. The advantages of cooperation are shown. Especially, compared to a conventional one-on-one guidance law, cooperation significantly reduces the maneuverability requirements from the defending missile.