The paper describes six methods of optimal and game theory and artificial neural network for synthesis of safe control in collision situations at sea. The application of optimal and game control algorithms to determine the own ship safe trajectory during the passing of other encountered ships in good and restricted visibility at sea is presented. The comparison of the safe ship control in collision situation: multi-step matrix non-cooperative and cooperative games, multi-stage positional non-cooperative and cooperative games have been introduced. The considerations have been illustrated with examples of computer simulation of the algorithms to determine safe of own ship trajectories in a navigational situation during passing of eight met ships.
The paper introduced the basic model of process of safe ship control in a collision situation using a game model with j objects, which includes non-linear state equations and non-linear, time varying constraints of the state variables as well as the quality game control index in the forms of the game integral payment and the final payment. Approximated model of the process control as the model of multi-step matrix game in the form of dual linear programming problem has been adopted here. The Game Ship Control GSC computer program has been designed in the Matlab/Simulink software in order to determine the own ship’s safe trajectory. These considerations have been illustrated with examples of a computer simulation using an GSC program for determining the safe ship's trajectory in real navigational situation. Simulation research were passed for five sets of strategies of the own ship and met ships.
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