Abstract
The paper is focused on the build of a mathematical models of multivariable systems by the method of experimental identification. The created model is used for predicting the static and dynamic behavior of the controlled system in the closed loop. Dynamic properties of systems are described by the differential equations. In the experimental part are identified the parameters of the mathematical model of rectifying column. As an example, the multivariable controlled system, in this case is described the dependence of concentration distilled mixture on change the flow of reflux and flow of vapor.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Wang, J., Wang, H.-W., Gu, H.: A novel recursive subspace identification approach of closed-loop systems. Mathematical and Computer Modelling of Dynamical Systems 19(6), 526–539 (2013), http://www.tandfonline.com/doi/abs/10.1080/13873954.2013.801355 (cited), doi:10.1080/13873954.2013.801355
Chen, L., Tulsyan, A., Huang, B., Liu, F.: Multiple model approach to nonlinear system identification with an uncertain scheduling variable using EM algorithm. Journal of Process Control. 23(10), 1480–1496 (2013), http://linkinghub.elsevier.com/retrieve/pii/S0959152413001820 (cited), doi:10.1016/j.jprocont.2013.09.013
Cadavid, J.G., Godoy-Silva, R.D., Narvaez, P.C., Camargo, M., Fonteix, C.: Biodiesel production in a counter-current reactive extraction column: Modelling, parametric identification and optimisation. Chemical Engineering Journal 228, 717–723 (2013), http://linkinghub.elsevier.com/retrieve/pii/S1385894713006591 (cited), doi:10.1016/j.cej.2013.05.040
Torkamani, S., Butcher, E.A., Khasawneh, F.A.: Parameter identification in periodic delay differential equations with distributed delay. Communications in Nonlinear Science and Numerical Simulation 18(4), 1016–1026 (2013), http://linkinghub.elsevier.com/retrieve/pii/S1007570412004182 (cited), doi:10.1016/j.cnsns.2012.09.001
Abbassi, F., Belhadj, T., Mistou, S., Zghal, A.: Parameter identification of a mechanical ductile damage using Artificial Neural Networks in sheet metal forming. Materials 45, 605–615 (2013), http://linkinghub.elsevier.com/retrieve/pii/S0261306912006632 (cited), doi:10.1016/j.matdes.2012.09.032
Victor, S., Malti, R., Garnier, H., Oustaloup, A.: Parameter and differentiation order estimation in fractional models. Automatica 49(4), 926–935 (2013), http://linkinghub.elsevier.com/retrieve/pii/S0005109813000277 (cited), doi:10.1016/j.automatica.2013.01.026
Valderrama, J.O., Faúndez, C.A., Toselli, L.A.: Advances on modeling and simulation of alcoholic distillation. Part 1: Thermodynamic modeling. Food and Bioproducts Processing 90(4), 819–831 (2000), http://linkinghub.elsevier.com/retrieve/pii/S0960308512000302 (dostupné), doi:10.1016/j.fbp.2012.04.004
Valderrama, J.O., Toselli, L.A., Faúndez, C.A.: Advances on modeling and simulation of alcoholic distillation. Part 2: Process simulation. Food and Bioproducts Processing 90(4), 832–840 (2000), http://linkinghub.elsevier.com/retrieve/pii/S0960308512000296 (dostupné), doi:10.1016/j.fbp.2012.04.003
Isermann, R.: Digitale Regelsysteme: Band II, Stochastische Regelungen, Mehrgrössenregelungen, Adaptive Regelunungen, Anwendungen. 2. überarb. u. erw. Aufl. Springer, Berlin (1987) ISBN 35-401-6597-5
Isermann, R.: Digitale Regelsysteme: Band I, Grundlagen Deterministische Regelungen. 2. überarb. und erw. Aufl. Springer, Berlin (1987) ISBN 35-401-6596-7
Jehlička, V.: Mathematical Models of Controlled Systems. In: Zelinka, I., Chen, G., Rössler, O.E., Snasel, V., Abraham, A. (eds.) Nostradamus 2013: Prediction, Model. & Analysis. AISC, vol. 210, pp. 257–264. Springer, Heidelberg (2013)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Jehlička, V. (2014). Mathematical Models of Multivariable Systems. In: Zelinka, I., Suganthan, P., Chen, G., Snasel, V., Abraham, A., Rössler, O. (eds) Nostradamus 2014: Prediction, Modeling and Analysis of Complex Systems. Advances in Intelligent Systems and Computing, vol 289. Springer, Cham. https://doi.org/10.1007/978-3-319-07401-6_31
Download citation
DOI: https://doi.org/10.1007/978-3-319-07401-6_31
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07400-9
Online ISBN: 978-3-319-07401-6
eBook Packages: EngineeringEngineering (R0)