ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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MSC2010 93E12

Identification of the heating model plastic injection molding machines

D. V. Ivanov1, A. V. Ivanov2, I. L. Sandler3, N. V. Chertykovtseva4

AnnotationThe paper shows that an object with an irrational transfer function can be approximated by equations with fractional-order differences. A mathematical model of the plastic engine molding heating model in the form of a linear equation with fractional-order differences is proposed. This model was compared with models of output error and ARX (autoregressive with exogenous input) models of integer order. Identification algorithms of these models are implemented in the Identification toolboxMatlab extension. The experiments carried out showed that models based on equations with fractional-order differences have higher accuracy. The models and algorithms proposed in the paper for identifying the heating of engine molding machine can serve as a basis for the creation of new highly efficient control systems.
KeywordsInjection molding, parametric identification, difference of fractional order, model of output error, least squares method

1Dmitriy V. Ivanov, Associate Professor, Department of Mechatronics, Automatization and Control On Transport, Samara State University of Transport (2B Bezymianniy lane., Samara 443066, Russia), Ph.D. (Physics and Mathematics), ORCID: http://orcid.org/0000-0002-5021-5259, dvi85@list.ru

2Alexandr V. Ivanov, Ph.D. student,Department of Mechatronics, Automatization and Control On Transport,Samara State University of Transport, (2B Bezymianniy lane., Samara 443066, Russia), ORCID: http://orcid.org/0000-0001-7890-6177, aivanovunderline{ 2016@list.ru

3Ilya L. Sandler, Senior Lecturer, Department of Mechatronics, Automatization and Control On Transport, Samara State University of Transport (2B Bezymianniy lane., Samara 443066, Russia), ORCID: http://orcid.org/0000-0003-4967-3321, virus@bk.ru

4Natalia V. Chertykovtseva, Dean of faculty, Samara State University of Transport (2B Bezymianniy lane., Samara 443066, Russia), Ph.D. (Candidate of Engineering Sciences), ORCID: http://orcid.org/0000-0002-0060-9778, chertykovtseva@mail.ru

Citation: D. V. Ivanov, A. V. Ivanov, I. L. Sandler, N. V. Chertykovtseva, "[Identification of the heating model plastic injection molding machines]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,19:3 (2017) 82–90 (In Russian)

DOI 10.15507/2079-6900.19.201703.82-90