Vestnik MGTU (Dec 2017)
Comparative analysis of mathematical models of the ship from the standpoint of controllability of the variances
Abstract
The paper has shown the choice of the mathematical model of the ship with the help of which in the future will be investigated the process of control of the vessel from deviations of two spaced points of the ship's diametric plane from certain lines called aiming. Two mathematical models of the tanker differing structurally are considered: by type and set of differential equations for their description, which are identified parametrically, i. e. the coefficients describing the model equations have been found. To assess the adequacy of the models, their work on the example of the standard maneuver "Zigzag" with the comparative analysis of results between the data and full-scale tests has been tested. The type of maneuver has been chosen on the basis of proximity of the ship characteristic movements to those that occur when the vessel is steered by deviation. Further research has been carried out by performing the managing for deviations in relation to the set of aiming lines. The control quality indicator of quadratic form which assesses the management effectiveness of each model has been introduced. In this calculation case, a mathematical model of the "speed – drift angle – angular speed of rotation" type presented by Japanese engineers has been proposed for the study of complex controls of the tanker of Project 214 on deviations. The model has given estimates of the quality of controls going to "stock". This will allow in further works on the subject on the basis of this mathematical model to obtain results and make the decisions that lead to fewer managerial risks.
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