Approach to the problem of optimal threedimensional interception on the basis of the theory of linear quadratic differential games
Abstract
The problem of optimal threedimensional interception is modeled in the form of a differential game. The trajectory linearization in the neighbourhood of uniform, rectilinear trajectories, the choice of a fixed duration for the interception and of a performance index equal to the square of the terminal distance, make it possible to apply the theory of quadratic linear differential games and to obtain closed loop optimal guidance laws, for the pursuer as well as for the evader. The weighting coefficients in the performance index are related to the maximum lateral accelerations imposed on both moving bodies and the terminal distance is explicitly expressed as a function of these coefficients and of the interception duration.
 Publication:

La Recherche Aerospatiale
 Pub Date:
 October 1975
 Bibcode:
 1975ReAer......255A
 Keywords:

 Flight Optimization;
 Game Theory;
 Interception;
 Missile Trajectories;
 Terminal Guidance;
 Trajectory Optimization;
 Equations Of Motion;
 Graphs (Charts);
 Linear Equations;
 Mathematical Models;
 Matrices (Mathematics);
 Missile Control;
 Optimal Control;
 Quadratic Equations;
 Three Dimensional Motion;
 Astrodynamics