Abstract
The paper presents an application of the modulating functions method (MFM) for the identification of an industrial process of glass conditioning, which involves cooling the glass mass between its melting and further processing. The process is carried out in glass forehearths after leaving a melting unit. Precise temperature control is essential during the process, hence much effort was put into its modelling. Linear model of the process can be obtained on-line based on the input and output signal measurements. The model can be used for predicting molten glass temperature changes in the real forehearth. For the first time, the results obtained by the MFM are compared with the simulation results for the partial differential equation model and with the real process data.
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 subscriptionsReferences
Byrski, W., Byrski, J.: The role of parameter constraints in EE and OE methods for optimal identification of continuous LTI models. Int. J. Appl. Math. Comput. Sci. 22(2), 379–388 (2012). https://doi.org/10.2478/v10006-012-0028-3
Byrski, W., Drapała, M., Byrski, J.: An adaptive method based on the modulating functions technique and exact state observers for modeling and simulation of a nonlinear MISO glass melting process. Int. J. Appl. Math. Comput. Sci. 29(4), 739–757 (2019). https://doi.org/10.2478/amcs-2019-0055
Gough, B.P., Matovich, D.: Predictive-adaptive temperature control of molten glass. In: IEEE Industry Applications Society Dynamic Modeling Control Applications for Industry Workshop, Vancouver, BC, Canada, pp. 51–55 (1997)
Grega, W., Piłat, A., Tutaj, A.: Modelling of the glass melting process for real-time implementation. Int. J. Model. Optim. 5(6), 366–373 (2015). https://doi.org/10.7763/IJMO.2015.V5.490
Kharitonov, A., Sawodny, O.: Modeling and control strategies for heating processes in the glass industry. In: Proceedings of the 2004 IEEE International Conference on Control Applications, Taipri, Taiwan, 2–4 September 2004, pp. 1026–1031. https://doi.org/10.1109/CCA.2004.1387506
Kharitonov, A., Henkel, S., Sawodny, O.: Two degree of freedom control for a glass feeder. In: Proceedings of the European Control Conference 2007, Kos, Greece, 2–5 July 2007, pp. 4079–4086. https://doi.org/10.23919/ECC.2007.7068450
Malchow, F., Sawodny, O.: Model based feedforward control of an industrial glass feeder. Control Eng. Pract. 20(1), 62–68 (2012). https://doi.org/10.1016/j.conengprac.2011.09.004
Shinbrot, M.: On the analysis of linear and nonlinear systems. Trans. Am. Soc. Mech. Eng. J. Basic Eng. 79, 522–547 (1957)
Sorg, H., Sims, R.: Method for conditioning and homogenizing a glass stream. U.S. Patent 5,573.569 (1996)
Sorg, H., Sims, R.: Method and apparatus for conditioning and homogenizing a glass stream. U.S. Patent 5,634.958 (1997)
Wang, Q., Chalaye, G., Thomas, G., Gilles, G.: Predictive control of a glass process. Control Eng. Pract. 5(2), 167–173 (1997). https://doi.org/10.1016/S0967-0661(97)00223-2
Acknowledgement
This work was supported by the scientific research funds from the Polish Ministry of Science and Higher Education and AGH UST Agreement no 16.16.120.773 and was also conducted within the research of EC Grant H2020-MSCA-RISE-2018/824046.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Byrski, W., Drapała, M. (2020). An Algebraic Approach to Solving the Problem of Identification by the Use of Modulating Functions and Convolution Filter. Glass Conditioning Process. In: Bartoszewicz, A., Kabziński, J., Kacprzyk, J. (eds) Advanced, Contemporary Control. Advances in Intelligent Systems and Computing, vol 1196. Springer, Cham. https://doi.org/10.1007/978-3-030-50936-1_7
Download citation
DOI: https://doi.org/10.1007/978-3-030-50936-1_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-50935-4
Online ISBN: 978-3-030-50936-1
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)