ISSN 1991-2927

## Author: "Viktor Rostislavovich Krasheninnikov"

 V. Krasheninnikov
 Pseudophysical Approach to Allignment and Recognition of Group Point Objects The paper examines group point objects (GPO), i.e. two- or three-dimensional binary images composed of points, e.g. constellations, the specific body points, marks on the surface of the Earth or sea. The problem of alignment and recognition of such objects arises in navigation, robotics, diagnostics using medical images, etc. In this article, in order to align and recognize GPO, the authors propose to represent them as systems of material points. The author proposes to represent the group point objects as a system of material poits for alining and recognizing these objects. In this view, it is also possible to approximate GPO using such mechanical properties as gravity centers and inertia moments. The accuracy of GPO overlapping depends on how close their forms are. It helps to recognize the objects as recognized GPO refers to the closest model.Group point object, binary image, alignment, recognition, gravitation, gravity center, inertia moment.
 2015_ 3

Sections: Mathematical modeling

Subjects: Mathematical modeling, Automated control systems, Mathematical modeling, Artificial intelligence, Architecture of ship's system.

 R. Shigapov, V. Krasheninnikov, A. Mattis
 Synthesis of a Fuzzy Controller for Control of Ship Hoist The present paper deals with a mathematical model of the system which is comprised of a ship hoist and a cable connecting the remotely controlled underwater vehicle with a surface ship; a fuzzy controller is synthesized to control the ship hoist allowing the minimum impact of the cable to the underwater vehicle.The mathematical model of the cable is represented by the N-system of the hinged rails (links); at this, the length of the first link and the link number allow their reduction over time. To model the ship hoist, a simplified model is applied. Recommendations are made to determine the membership functions for input and output variables of the developed controller, and to synthesize its rule database. The Mamdani algorithm is employed for the fuzzy logic output. When setting the membership functions and synthesizing the control rules, the restrictions for the cable strength and hoist persistence are taken into account. The paper gives the results of comparison of the ‘proportional-differential’ model with the fuzzy controllers. A computer program is developed where the performance of the hoist and control system within the ‘surface ship - cable - underwater vehicle’ system is simulated. To identify the hoist, we have used the actual features of SVL-4 hoist which is ‘Simbiya’ company produced. To implement the fuzzy modeling process, we have employed tools from MathWorks MatLab mathematical software package including Fuzzy Logic Toolbox, a specialized bump pack.Cable, ship hoist, fuzzy controller.
 2014_ 2

Sections: Automated control systems

Subjects: Automated control systems, Architecture of ship's system.

 Hypothesis Test for Covariance Function and Spectral Density of Random Process Random processes (RP) are a mathematical model of a variety of phenomena occurring in time such as sea waves, wind, jams, noise, trajectory measurement errors, etc. Thereby, the problem of determining the covariance function (CF) or power spectral density (SD) of the analyzed process emerged. This can be a real process or simulated process used to test the algorithm processing for example the simulation of sea waves. There are a large number of publications on methods for estimating CF and PD in which a great number of efficient algorithms is proposed. However, it is not sufficient to investigate the question of identifying the characteristics of the process "as a whole". For example, does the monitoring CF process some alleged (hypothetical) species? This question can be answered by analyzing the difference between the measurements and their putative CF values. However, uncertainty remains within the allowable differences, which should be assessed in their entirety. In other words, you need to detect a criterion for significance test of a CF or SD process using the existing implementation. In this paper such a criterion is proposed and investigated.Random process, covariance function, spectral density, hypothesis tests, criterion, significance level, test power.
 2014_ 1

Sections: Mathematical modeling

Subjects: Mathematical modeling, Architecture of ship's system.

 V. Krasheninnikov, R. Shigapov
 The Model for Movement of Cable Connecting Carrying Ship With Unmanned Underwater Vehicle The article shows the results of motion modeling for a cable connecting a surface ship with an unmanned underwater vehicle (UUV). The model represents the cable as a tensile torsion fiber which consequently simplifies solution of motion equations. The article uses an algorithm allowing the use of motion equations for a stretched torsion fiber provided the negative tension arises on it. We have used a simple numerical method to resolve combined cable-motion equations.Cable, tensile, hooke's law, unmanned underwater vehicle.
 2013_ 1

Sections: Software and mathematical support of computers, computer systems and networks

Subjects: Mathematical modeling, Artificial intelligence, Operational research.

 Calculation forces and moments using the resulted sea-roughness model approximation of standard searoughness spectrum The article presents a vector autoregressive sea-roughness 3D-model.The vectors are formed as whitenoise discrete filters. The filter-parameter selection provides satisfacto-ry approximation of standard searoughness spectrum. Forces and moments taking effect on ship hull are calculated using the resulted sea-roughness model.Random process simulating, sea roughness, autoregressive model, spectrum approximation, recommended spectrum, pierson-moskowitz spectrum, forces and moments.