The problems of collision avoidance at sea in the formulation of complex motion principles
The paper presents a mathematical model of a collision situation for objects afloat based on the rules of a multiple complex motion. It also contains an analysis of the presented model and draws some conclusions from it. The method used to determine the minimum-time control of ships in a situation of colliding with other objects afloat is presented for a mathematical model of a collision situation. It also includes the results of a simulation study conducted by means of this method. A parallel approach of a ship to an encountered object was studied, i.e., a situation generating a critical case which is the collision of two ships.
- Dubiel S. (1973): Generalized constraints and their application in studying controllability of flying objects. - Sci. Bulletins of the Military University of Technology, Warsaw.
- Dubiel S. (1993): Guidance methods in navigation as a constrained complex motion. - Proc. 4-th Nat. Conf. Automation of Navigation and Control Systems, Gdynia, Poland, pp. 17-27.
- Dubiel S. (1995a): Dynamic effects of time-minimum interception program. - Proc. Conf. Mechanical Engineering in Aviation, Warsaw, Poland, pp. 105-113.
- Dubiel S. (1995b): A system-related approach to interception as a complex constrained motion. - Sci. Bulletins of the Technical University of Rzeszów, No. 135, Mechanical Engineering, No. 45, Avionics, Part. 2, pp. 27-36.
- Dubiel S. (1995c): A parallel approach as a boundary case of the time-minimal interception program. - Proc. Conf. Mechanical Engineeringin Aviation, Warsaw, Poland, pp. 91-103.
- Dubiel S. (1997): Generalized approach to methods of missile guidance in a planar flight. - Proc. 6-th Nat. Conf. Automation and Exploitation of Control Systems, Gdynia, Poland, pp. 74-91.
- Dubiel S. (1999): The importance of the principles of complex motion in problems concerning a controlled flight and navigation. - Proc. 7-th Nat.Conf. Automation and Exploitation of Control Systems, Gdynia, Poland, pp. 47-62.
- Kitowski Z., Żak B. (2002): About one method of avoiding collision with sailing objects, In: Recent Advances in Circuits, Systems and Signal Processing (N.E. Mastorakis, Ed.). - WSEAS Press, pp. 294-299.
- Susłow G.K. (1960): Theoretical Mechanics. - Warsaw: Polish Scientific Publishers.
- Żak B. (2001): Chosen the problems of synthesis the anti-collision system of control movement of ships. - Scientific Bulletins, No. 146B, Naval University, Gdynia, Poland.
- Żak B. (2002a): Collision situation of objects a float as multiple complex motion. - J. Techn. Physics, Vol. 43, No. 1, pp. 387-396.
- Żak B. (2002b): Optimization of ship's trajectory in collision situation. - J. Techn. Physics, Vol. 43, No. 1, pp. 397-407.
- Żak B. (2002c): Description of a collision navigation situation as a multi-composite movement. - Proc. 14-th Nat. Conf. Automatic Control, Zielona Góra, Poland, pp. 1085-1088, (in Polish).
- Żak B. (2003): A certain model of collision situation of sailing objects. - Proc. 9th IEEE Int. Conf. Methods and Models in Automation and Robotics, MMAR'03, Międzyzdroje, Poland, pp. 257-262.