Abstract

The paper presents application of dynamic games methods, multistage positional and multistep matrix games, to automate the process control of moving objects, on the example of safe control of own ship in collision situations when passing many ships encountered. Taking into consideration two types of ships cooperation, for each of the two types of games, positional and matrix, four control algorithms for determining a safe ship trajectory supporting the navigator’s maneuvering decision in a collision situation are presented. The considerations are illustrated by examples of computer simulation in Matlab/Simulink software of safe trajectories of a ship in a real situation at sea. Taking into account the smallest final deviation game trajectory from the reference trajectory of movement, in good visibility at sea, the best is trajectory for cooperative matrix game, but in restricted visibility at sea, the best is trajectory for cooperative positional game.

Highlights

  • One of the most important transport issues are the processes of optimal and safe control of ships, airplanes, and cars as moving objects [1,2,3,4]. Such processes relate to managing the movement of many objects at the same time, with varying degrees of interaction, the impact of random factors with an unknown probability distribution, and a large share of operator’s subjective in maneuvering decisions [5,6,7,8]. The management of such processes is accomplished by means of game control systems, whose synthesis is carried out with the methods of game theory [9, 10]

  • Game theory is a branch of mathematics, covering the theory of conflict situations and building and analyzing their models [11, 12]

  • A game in the concept of control theory is a process consisting of several control objects remaining in a conflict situation or a process with undefined disturbances or incomplete information

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Summary

Introduction

One of the most important transport issues are the processes of optimal and safe control of ships, airplanes, and cars as moving objects [1,2,3,4]. Such processes relate to managing the movement of many objects at the same time, with varying degrees of interaction, the impact of random factors with an unknown probability distribution, and a large share of operator’s subjective in maneuvering decisions [5,6,7,8]. A game in the concept of control theory is a process consisting of several control objects remaining in a conflict situation or a process with undefined disturbances or incomplete information. Players as control objects participating in a conflict situation have certain sets of strategies.

Classification of Control Processes of Moving Objects
Dynamic Games Models of Moving Objects Control Processes
Game Ship Control Algorithms
Computer Simulation of Game Ship
Conclusions
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