Missile control on the basis of construction of attainability domains

The paper deals with the application of attainability domains for the solution of missile control problems.  Methods of calculating the attainability domains are analyzed and two examples of calculating the attainability domains of a missile are given. A set of problems is presented for the solution of which the attainability domains were used. A conflicting problem of “approach-evasion” of two missiles with and without taking account of errors of measurements of motion parameters is discussed. The problem is considered as a differential game of two players with opposite interests. Controls of the players are selected at discrete points in time, based on the analysis of the relative position of attainability domains constructed for a number of the future meeting time points. If the errors of measuring are taken into account the attainability domains are constructed not from the current position but from the information domains that contain the exact values of the motion parameters. The approach problem of two missiles with a maneuvering object is presented in the form of a coalition differential game. In this case the combined attainability domains of the missiles are constructed. Minimax attainability domains constructed taking into account the action of disturbances are used in the problem of synthesis of normal acceleration of the missile under the action of disturbances. In the final part of the paper we discuss the problem of minimax filtration of the missile motion parameters in which information domains including the attainability domain of the missile are approximated by the parallelepipeds in the phase space under consideration.