An Approach to Three-Dimensional Variable-Speed Interception Games

In this paper, an approach to solve three-dimensional minimum-time variable-speed interception problem between a taotical missile and an aircraft is presented by using the manner of the instantaneous coplanar interception. The two-player zero-sum perfect information differential games in a certen fixed inclined plane is analysed at first. An approximate solution in feedback form is obtained by using the technique of forced singular perturbation (FSPT). If target deviates from this plane, the concept of instantaneous coplanar interception proposed in this paper will be used for three-dimensional minimum-time variable-speed interception problem. No matter target how to manoeuvre, the mission of three-dimensional minimum-time variable-speed interception can be approximated by a dynamic game in the instantaneous inclined interception plane. The illustrative example with the realistio aerodynamic and propulsion data shows the validity of this approach.