SYNTHESIS OF OPTIMAL CONTROL OF A VESSEL WITH BOUNDARY CONDITIONS

  • S. Zinchenko
  • V. Lyashenko
  • О. Grosheva
Keywords: control object, control system, mathematical model, numerical integration, optimal control, maximum principle,shooting method

Abstract

The aim of the work is the synthesis of optimal control of the movement of the vessel from a adjusted initial state to the desired end. Such controls arise in solving search and rescue tasks, approaching mooring objects, including mobile ones, in other applied tasks. This goal is achieved by using the maximum principle, the shooting method and a simplified mathematical model of the vessel with an increased integration step, as a tool for the method of shooting. The efficiency of the algorithms has been verified by mathematical modeling of the control object in a closed circuit with a control system, taking into account external influences. 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

Pontryagin, L., Boltyanskiy, V., Gamkrelidze, R. & Mishenko, Е. (1969). Matematicheskaya teoriya optmalnyh processov. Мoskva : Nauka.
Nogin, V. (2008). Vvedenie v optimalnoe upravleniye : uchebno-metodicheskoe posobie. Sankt Peterburg : UTAS.
Alekseev, V., Tihomirov, V. & Fomin, S.(1979). Optimalnoe upravlenie. Moskva : Nauka.
Kolmogorov, A. & Fomin, S. (1976). Elemety teorii funkcii i funkcionalnogo analiza. Moskva : Nauka.
Ventcel, E. (2007). Issledovanie operaciy: zadachi, principy, metodologiya : uchebnoe posobie dlya vtuzov. Moskva :Visshaya shkola.
Antonov, V. & Pismennyj, M. (2007). Teoreticheskie osnovy upravleniya sudnom. Vladvostok : MGU im.admirala Nevelskogo.
Navi Trainer 4000. Mathematical models // Technical description. Transas Marine Ltd, 2003.
Morshneva, I. & Ovchinnikova, S. (2003). Chislennoe reshenie kraevih zadach dlya obyknovennyh differencialnyh uravnenij. Metod strelby. Rostov na Dony : UPL RGU.
Struchenkov, V. (2009). Metody optimizacii v prikladnyh zadachah. Moskva : Solon-Press.
Published
2018-08-26