Geodesic
Identification of the heating model plastic injection molding machines
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 19 (2017) no. 3, pp. 82-89

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The 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.
Keywords: Injection molding, parametric identification, difference of fractional order, model of output error, least squares method. 
@article{SVMO_2017_19_3_a7,
     author = {D. V. Ivanov and A. V. Ivanov and I. Sandler and N. V. Chertykovtseva},
     title = {Identification of the heating model plastic injection molding machines},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {82--89},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2017_19_3_a7/}
}
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D. V. Ivanov; A. V. Ivanov; I. Sandler; N. V. Chertykovtseva. Identification of the heating model plastic injection molding machines. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 19 (2017) no. 3, pp. 82-89. http://geodesic.mathdoc.fr/item/SVMO_2017_19_3_a7/