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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
TY  - JOUR
AU  - D. V. Ivanov
AU  - A. V. Ivanov
AU  - I. Sandler
AU  - N. V. Chertykovtseva
TI  - Identification of the heating model plastic injection molding machines
JO  - Žurnal Srednevolžskogo matematičeskogo obŝestva
PY  - 2017
SP  - 82
EP  - 89
VL  - 19
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SVMO_2017_19_3_a7/
LA  - ru
ID  - SVMO_2017_19_3_a7
ER  - 
%0 Journal Article
%A D. V. Ivanov
%A A. V. Ivanov
%A I. Sandler
%A N. V. Chertykovtseva
%T Identification of the heating model plastic injection molding machines
%J Žurnal Srednevolžskogo matematičeskogo obŝestva
%D 2017
%P 82-89
%V 19
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SVMO_2017_19_3_a7/
%G ru
%F SVMO_2017_19_3_a7
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/

[1] C. Diduch, R. Dubay, W. G. Li, “Temperature control of injection molding. Part 1: Modeling and identification”, Polymer Engineering and Science, 44:12 (2004), 2308–2317 http://dx.doi.org/10.1002/pen.20258 | DOI

[2] C. Diduch, R. Dubay, W. G. Li, “Temperature control of injection molding. Part 2: Controller design, simulation, and implementation”, Polymer Engineering and Science, 44:12 (2004), 2318-2326 http://dx.doi.org/10.1002/pen.20259 | DOI

[3] E. Dassau, B. Grosman, D. R. Lewin, “Modeling and temperature control of rapid thermal processing”, Computers and Chemical Engineering, 30:2 (2006), 686-697 https://dx.doi.org/10.1016/j.compchemeng.2005.11.007 | DOI

[4] S.-O. Lindert, G. Reindl, K. Schlacher, “Identification and Control of an Injection Moulding Machine”, IFAC Proceedings Volumes, 47:3 (2014), 5878 - 5883 https://doi.org/10.3182/20140824-6-ZA-1003.01488 | DOI

[5] D. Sierociuk, A. Dzielinski, G. Sarwas, I. Podlubny, T. Skovranek, “Modelling heat transfer in heterogeneous media using fractional calculus”, Philosophical Transactions of the Royal Society of London Series A, 371 (2013), 20120146 https://dx.doi.org/10.1098/rsta.2012.0146 | DOI | MR | Zbl

[6] D. V. Ivanov, “Identification Discrete Fractional Order Linear Dynamic Systems with output-error”, Proc. Int. Siberian Conference on Control and Communications, SIBCON'2013 (Russia, Krasnoyarsk, 2013), IEEE, 1-4 http://dx.doi.org/10.1109/SIBCON.2013.6693623 | MR

[7] D. V. Ivanov, “Identification discrete fractional order linear dynamic systems with errors-in-variables”, Proc. East-West Design Test Symposium, 2013, EWDTS'2013 (Russia, Rostov-on-Don, 2013), IEEE, 1-4 | DOI | MR

[8] D. V. Ivanov, “Numerical algorithms of parameter estimation of linear dynamic systems fractional order with noise in the output signal”, Applied Discrete Mathematics and Heuristic Algorithms, 1:1 (2015), 23-31