USING THE RANDOM OF QUANTIZATION IN THE SIMULATION OF NETWORKED CONTROL SYSTEMS

Network control systems using a network channel for communication between the elements. This approach has several advantages: lower installation costs, ease of configuration, ease of diagnostics and maintenance. The use of networks in control systems poses new problems. The network characteristics make the analysis, modeling, and control of networked control systems more complex and challenging. In the simulation must consider the following factors: packet loss, packet random time over the network, the need for location records in a channel simultaneously multiple data packets with sequential transmission. Attempts to account at the same time all of these factors lead to a significant increase in the dimension of the mathematical model and, as a con-sequence, a significant computational challenges. Such models tend to have a wide application in research. However, for engineering calculations required mathematical models of small dimension, but at the same time having sufficient accuracy. Considered the networks channels with random delays and packet loss. Random delay modeled by appropriate distribution the Erlang. The probability of packet loss depends on the arrival rate of data packets in the transmission channel, and the parameters of the distribution Erlang. We propose a model of the channel in the form of a serial connection of discrete elements. Discrete elements produce independents quantization of the input signal. To change the probability of packet loss is proposed to use a random quantization input signal. Obtained a formula to determine the probability of packet loss during transmission

THE FORMATION CLASSES OF OBJECTS BY THE METHOD OF DISCRIMINANT ANALYSIS

Summary.The paper provides the method of discriminant analysis as a modern tool for the classification of objects by the example of flour production. Discriminant analysis is a statistical technique that allows us to study the differences between two or more groups of objects on multiple variables simultaneously and provides the ability to classify objects according to the principle of maximum similarity. Content of discriminant analysis is the development and study of statistical methods to examine the differences between two or more groups of objects on multiple variables simultaneously with the dominant line. In discriminant analysis, in contrast to the cluster, there is a training set, which is known what classes are objects. The training set is obtained rules, which further allow you to determine what class are new objects. Built discriminant functions, graphs of distribution of objects on quality classes, graphically presents classification methodology. During the performance was formed database consisting of 595 analyzes characterizing the quality of flour by 15 characters. Each assay described chemical parameters (mass fraction of protein mass fraction of ash, the mass fraction of fat, fiber content and water-soluble carbohydrates) and organoleptic quality of flour (moisture content, titratable acidity and active, and the mass fraction of gluten quality, taste, smell, and the crunch etc.). Classification accuracy of the method of discriminant analysis was 576 (98.02%)

THE MATHEMATICAL MODEL OF COOLING RECYCLED WATER IN A COOLING TOWER WITH MECHANICAL TRACTION

Summary. Analyzed the process of cooling recycled water in the block of cooling towers with forced draft as a control object. Established that for a given construction of the cooling tower its work determined by the ratio of mass flows of water and air. Spending hot water in tower on cooling and rotation speed of shafts of fans are control actions in the waterblock. Controlled perturbation - temperature, humidity, barometric pressure, air temperature and pressure hot water. Uncontrolled disturbance - change of total heat transfer coefficients in the cooling towers, wind speed and direction, formation of ice on the input windows. Mathematical model of cooling process describes the joint heat-and-mass transfer in cooling tower, current water film, the deposition of water droplets, the consumption of electric energy by fan unit allows to optimize the process of cooling through minimizing the total value of active electric power consumed by all cooling towers. It is based on the modified equation of Merkel, equations of Klauzir-Clapeyron, Navier-Stokes. Model is valid under the assumption that the temperature of the water at the interface is equal to the weight average temperature of water, with the air at the interface is saturated. Accepted that the heat flow from the water to the air along the normal to the boundary surface depends on the difference of enthalpy of these environments at the edge of the boundary surfacesection and the weight average enthalpy, water and air are distributed evenly over the crosssectional area of the sprinkler. Development takes into account peculiarities of fluid motion in the sprinkler and allows to determine the adiabatic saturation temperature of the air by the method of "wet" thermometer without its direct measurement. The model is applicable to control the cooling process in real-time

AUTOMATED PROCESSING OF DAIRY PRODUCT MICROPHOTOS USING IMAGEJ AND STATISTICA

Summary. The article discusses the construction of algorithms for automated processing of microphotos of dairy products. Automated processing of micro photos of dairy products relevant in the study of the degree of homogenization. Microphotos of dairy products contain information about the distribution of fat globules in the mass fractions. Today, there are some of software products, offering image processing and relieving researchers from routine operations manual data processing. But it need to be adapted for performing the processing of microphotos of dairy products. In this paper we propose to use for processing the application package ImageJ for processing image files taken with digital microscope, and to calculate the statistical characteristics of the proposed use of the software package Statistica. Processing algorithm consists of successive stages of conversion to gray scale, scaling, filtering, binarization, object recognition and statistical processing of the results of recognition. The result of the implemented data processing algorithms is the distribution function of the fat globules in terms of volume or mass fraction, as well as the statistical parameters of the distribution (the mathematical expectation, variance, skewness and kurtosis coefficients). For the inspection of the algorithm and its debugging experimental studieswere carried out. Carries out the homogenization of farm milk at different pressures of homogenization. For each sample were made microphoto sand image processing carried out in accordance with the proposed algorithm. Studies have shown the effectiveness and feasibility of the proposed algorithm in the form of java script for ImageJ and then send the data to a file for the software package Statistica

SYSTEM ANALYSIS PROCESS OF THE THERMAL OXIDATIVE DEGRADATION OF POLYMERS IN SOLUTION AS A CONTROL OBJECT

In this article the technological process of synthesis of low molecular weight polymers using the method of the thermal oxidative degradation as a control object is considered. It is revealed, that the main control parameters affecting the rate of degradation are: a reaction initiator concentration, temperature and mass concentration of the polymer. The degree of degradation, quality of produced polymer and the reaction time are the main control parameters. It is established that the process temperature and concentration of initiator should be stabilized in the vicinity of a predetermined value, and the value of the mass concentration is set by the initial dose components for effective control. In this case the kinetics of the degradation process can be described by a linear dependence of time. That is degree of degradation is linearly related with time reaction. Then the process of degradation is conducted by time to the predetermined degradation degree value by determining initial quality of the polymer. Due to initiator is expended in the process of degradation, then for stabilizing its concentration is offering its continuously input into the reaction medium. The mathematical model, describing the kinetics of continuous feed initiator, and dependence for calculating the initiator feed rate. The parameters of the linear approximating dependence of the degradation kinetics are defined. It is displayed, that graph kinetics of degradation is constantly striving to its linear asymptote at short time degradation. The inclination angle of this asymptote depends on the degradation rate constant (i.e., reaction temperature) and on the initial concentration of initiator. The degradation kinetics on the ordinate offset is depended on the initial molar concentration of polymer. Thus, to control the rate of degradation by selecting the initial concentration of the polymer is possible

USING OF COMPLEX HARMONIOUS SIGNALS IN PROBLEMS OF ACOUSTIC SPECTROMETRY OF POLYMERS

Summary. In article features of definition of acoustic properties of polymers with application of ultrasonic fluctuations are considered. The opportunity of definition with single method of such parameters of quality as a relaxation spectra of polymer and function of molecular-mass distribution in a solution that results in increase in time of carrying out of measurements is shown. For reduction of time, may use narrowing of a range of frequencies of the ultrasonic fluctuations rendered on the measured sample, or increase the step of quantization of a registered signal with the oscillograph. Thus both variants result in reduction in reliability of the received information because of a possible extends for limits of an effective frequency range or loss of a high-frequency component of a registered signal at increase in a step of quantization. For the decision of the listed problems it is offered to use the complex harmonious signal being superposition of several signals. Frequency is necessary for choosing proceeding from sensitivity of each determined polymer parameter of quality. On concrete examples it is shown, that sensitivity of such parameters of quality as strength and viscosity on Mooney essentially depends on frequency. For initial research, in a case when properties of a material beforehand are not known and it is necessary to reveal effective ranges of frequencies, for each determined property of a material, it is offered to use a signal such as «white noise» which will allow to reveal ranges of frequencies with the greatest sensitivity each measured parameter of quality. That, it is in turn connected to uniform distribution of spectral making frequencies on all possible frequency range. Necessity for definition of an effective range of time of registration and a step of quantization for a kind of limitation of technical opportunities of means of registration of electric signals (oscillographs) is shown