REDUCTION OF THE TIME OF NUMERICAL INTEGRATION OF THE MATHEMATICAL MODEL OF THE VESSEL IN THE ON-BOARD CALCULATOR
Keywords:
control object, control system, mathematical model, numerical integration
Abstract
The aim of the work is developing a simplified mathematical model of a vessel with minimal numerical integration time for its use in an onboard computer as a tool for the shooting method in optimal control problems, as well as for solving other applied problems. The goal is achieved by reducing the dimension of the mathematical model to 6 differential equations and simultaneously increasing the integration step, while maintaining the accepted accuracy and stability of the model. The developed algorithms can be applied in the synthesis module of the optimal control of the movement of vessels, other control problems solved in real time.
References
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Transas Marine Ltd (2003). Navi Trainer 4000. Mathematical models. Technical description, 104 p.
Antonov V. & Pismennyj M. (2007). Teoreticheskie osnovy upravleniya sudnom. Vladvostok : MGU im.admirala Nevelskogo. 78 p.
Vagushenko L.& Cimbal N. (2007). Sistemy avtomaticheskogo upravleniya dvigeniem sudna. – 3-е izd., pererab. i dop. Odessa : Feniks. 328 p.
Besekerskiy V. & Popov Е. (2003). Teoriya sistem avtomaticheskogo upravleniya. S.Peterburg : Professiya. 750 p.
Morshneva I. & Ovchinnikova S. (2003). Chislennoe reshenie kraevih zadach dlya obyknovennyh differencialnyh uravnenij. Metod strelby. RnD : UPL RGU.
Samarskiy A. & Gulin A.(1989). Chislennye metody. M. : Nauka. 432 p.
Godunov S. & Ryabenkiy V.(1977). Raznostnye shemy. Vvedenie v teoriyu. М. : Nauka. 439 p.
Alekseeva E., Kutnenko O. & Plyasunov A. (2008). Chislennye metody optimizacii: uchebnoe pocobie dlya vtuzov. Novosibirsk: Novosib.univer.128p.
Struchenkov V. (2009). Metody optimizacii v prikladnyh zadachah. M.:Solon-Press. 310 p.
Ventcel E. (2007). Issledovanie operaciy: zadachi, principy, metodologiya. Uchebnoe posobie dlya vtuzov. M.:Visshaya shkola.
Published
2018-08-26
Section
Статті
