Game Control Methods Comparison when Avoiding Collisions with Multiple Objects Using Radar Remote Sensing

This article formulates the concept of games in the field of process control theory in marine sciences and reviews the literature on the possible applications of games. The possible types of game control processes for moving objects are presented. A computer-aided object safe control in the game environment, with an appropriate steering system, is described based on radar remote sensing in order to avoid collisions with many other objects that are encountered. First, the basic model of object movement in the game environment is presented as a differential game with many objects, described by appropriate game state equations, state and steering restrictions, and a quality control index in the form of an integral and final payment of the game. Next, the surrogate models of the differential game are described in detail for the development of practical computer control programs using positional and matrix game models. Particular attention, in each type of game, is paid to the aspect of cooperation or lack of cooperation between objects in making maneuvering decisions. A computer simulation illustrates these considerations with game control programs at a sea-crossing situation where multiple objects were encountered. Safe object trajectories are compared using two methods of game control using positional and matrix game models while also considering cases with cooperation or non-cooperation of objects.