Abstract

The usage relevance of linear observation models of welding processes is substantiated. A brief analytical review of scientific papers on using linear observation models for researching the processes of arc welding is introduced. An example of studies utilizing a linear observation model based on the results of experiments with alloying of a weld metal is given. The type of linear observation model – fractional replication – is determined. An experiment planning matrix and test results are given. After performing tests and processing the experimental data, mathematical models in the form of dependencies of the transfer of alloying elements into the weld metal were obtained. According to the results of the experiments, empirical models in the form of dependencies evaluating the percentages of manganese, silicon and carbon, transfer coefficients from the “wire-to-product” distance, the diameter of the welding nozzle and the filling wire feed rate were obtained. Since the degree of uncertainty of parameters during welding is high enough, the necessity of further modification of linear observation models using expert knowledge is justified. The mathematical specification of the linear observation model with parameters in the form of fuzzy intervals is given. An algorithm for identifying the parameters of a linear observation model in the form of fuzzy intervals has been developed.

Highlights

  • The problem of controlling the plasma welding arc is considered to be one of the complex process control problems. The reason for it is the lack of adequate mathematical models of combustion processes

  • A lot of papers following this direction, for example, works [1 - 3], have already been published. Another direction of model development is related to obtaining linear observation models

  • A linear observation model was used to predict the results of welding and to study the effect of welding parameters

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Summary

Introduction

The problem of controlling the plasma welding arc is considered to be one of the complex process control problems. The reason for it is the lack of adequate mathematical models of combustion processes. A lot of papers following this direction, for example, works [1 - 3], have already been published. Another direction of model development is related to obtaining linear observation models (regression models). This type of model establishes a connection between some parameters (factors) and a certain resulting parameter, for example, the welding efficiency criterion. The type of these models and the results of their application can be found in [4 - 7]

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