Papers by Author: Józef Lisowski

Abstract: In this paper, game and optimization theory is applied to the marine navigation in congested waters. The process of game ship control is mentioned first, and then the base model and the approximated models are described with the simulation results. For each approximated model of the dynamic game, an appropriate method of safe control to support the navigator decision in a collision situations has been assigned. The considerations have been illustrated an examples of a computer simulation of several algorithms to determine the safe ship's trajectory in situations of passing many of the ships encountered, recorded on the radar screen in real navigational situation at sea.

Abstract: This paper analyses optimization methods and game theory to support decision making by a navigator when controlling a vessel in various real navigational situations at sea. We have demonstrated the structure of a computer system for supporting manoeuvring decisions by a navigator. Navigational situations of an optimal and game ship control have been classified. We have also described game algorithms for supporting decision-making in a form of non-cooperative and cooperative positional and matrix games, respectively. The considerations have been illustrated with a computer simulation, using the Matlab/Simulink software, of algorithms for determining safe trajectories of a vessel in a real navigational situation at sea.

Abstract: This paper describes application of elements of dynamic game theory for automation of the process of controlling moving objects, on an example of safe control of the own vessel in collision situations while passing encountered vessels. A method of determining safe game trajectory of the vessel has been presented in a form of a multi-stage matrix game of cooperating or non-cooperating objects of control. The method of dual linear programming has been used for the synthesis of the computer algorithm of control. The considerations have been illustrated with examples of a computer simulation, in Matlab/Simulink language, of safe trajectory of the vessel in a real situation at sea. Characteristics of sensitivity of the game control to the inaccuracy of information on the condition of the process and change of its parameters have been presented.

Abstract: The radar system with automatic radar plotting aid constitutes a source of input data for algorithm determining safe trajectory of a ship. The article introduces radar data transmission details. It also presents the application of computer decision support system in collision situations of passage with greater quantity of met objects on board research and training ship m/v HORYZONT II. The system enables navigational data transmission from radar system and automatic determining of safe manoeuvre or safe trajectory of a ship. Computer programme used for communication with ARPA system was designed in Matlab software.

Abstract: The paper presents the issues related to the probability of surface objects detection. The classical fluctuation models and the new fluctuation model for small floating objects with 10 m2 radar cross section surface are described. The possibilities of detection of examined passive radar reflectors by the radars on board merchant vessels were determined. Probability of detection of passive radar reflectors calculated using the classical fluctuation models was compared with the results obtained using the proposed new fluctuation model.

Abstract: The paper introduced the dynamic programming algorithm of own ship optimal and safe trajectory in situation a many of encountered objects. The moving domains of met objects are introduced as neural state constraints in the form of circle, parable, ellipse and hexagon. Finally the computer simulation of multistage own ship control in real navigational situations at sea is presented.

Abstract: Using as an example the process of safe ship’s control, the paper presents the problem of applying a positional non cooperative game of j objects for the description of the process considered as well as for the synthesis of optimal strategies. The approximated mathematical model of differential game in the form of dual linear programming problem is used for the synthesis of safe ship’s trajectory as a multistage process decision. The considerations have been illustrated an example of a computer simulation the MPGAME program to determine the safe ship's trajectory in situation of passing a many of the objects encountered.