An Adaptive Identification Method Based on the Modulating Functions Technique and Exact State Observers for Modeling and Simulation of a Nonlinear Miso Glass Melting Process
By: Witold Byrski, Michał Drapała and Jȩdrzej Byrski
References
- Asiri, S.M. and Laleg-Kirati, T. (2017). Modulating functions-based method for parameters and source estimation in one-dimensional partial differential equations, Inverse Problems in Science and Engineering25(8): 1191–1215.
- Ayla, L. and Solis, J. (1991). Structured logic control in glass preparation processes, IEEE Transactions on Industry Applications27(1): 108–111.
- Balestrino, A., Landi, A. and Sani, L. (2000a). Identification of Hammerstein systems with input/output time delay via modulating functions, IFAC Proceedings Volumes33(23): 199–203.
- Balestrino, A., Landi, A. and Sani, L. (2000b). Parameter identification of continuous systems with multiple-input time delays via modulating functions, IEE Proceedings: Control Theory and Applications147(1): 19–27.
- Byrski, J. and Byrski, W. (2012). The role of parameter constraints in EE and OE methods for optimal identification of continuous LTI models, International Journal of Applied Mathematics and Computer Science22(2): 379–388, DOI: 10.2478/v10006-012-0028-3.10.2478/v10006-012-0028-3
- Byrski, J. and Byrski, W. (2016). A double window state observer for detection and isolation of abrupt changes in parameters, International Journal of Applied Mathematics and Computer Science26(3): 585–602, DOI: 10.1515/amcs-2016-0041.10.1515/amcs-2016-0041
- Byrski, J. and Byrski, W. (2018). An optimal identification of the input-output disturbances in linear dynamic systems by the use of the exact observation of the state, Mathematical Problems in Engineering: 1–15, Article ID 8048567, DOI: 10.1155/2018/8048567.10.1155/2018/8048567
- Byrski, W. and Fuksa, S. (1995). Optimal identification of continuous systems in L2 space by the use of compact support filter, International Journal of Modelling & Simulation15(4): 125–131.
- Byrski, W. and Kubiński, R. (1997). The convolution method for optimal identification generalized to MIMO continuous systems, Modelling, Identification and Control: Proceedings of the 16th IASTED International Conference, Inns-bruck, Austria, pp. 44–47.
- Cieza, O.B., Tafur, J.C. and Reger, J. (2014). Frequency domain modulating functions for continuous-time identification of linear and nonlinear systems, 16th Latinamerican Control Conference, At Quintana Roo, Mexico, pp. 690–695.
- Co, T. and Ydstie, B. (1990). System identification using modulating functions and fast Fourier transforms, Computers & Chemical Engineering14(10): 1051–1066.
- Gough, B.P. and Matovich, D. (1997). Predictive-adaptive temperature control of molten glass, IEEE Industry Applications Society Dynamic Modeling Control Applications for Industry Workshop, Vancouver, BC, Canada, pp. 51–55.
- Grega, W., Piłat, A. and Tutaj, A. (2015). Modelling of the glass melting process for real-time implementation, International Journal of Modeling and Optimization5(6): 366–373.
- Grega, W., Tutaj, A., Klemiato, M. and Byrski, W. (2016). Comparison of real-time industrial process control solutions: Glass melting case study, 21st International Conference on Methods and Models in Automation and Robotics (MMAR), Mi˛edzyzdroje, Poland, pp. 122–127.
- Janiczek, T. (2010). Generalization of the modulating functions method into the fractional differential equations, Bulletin of the Polish Academy of Sciences: Technical Sciences58(4): 593–599.
- Jouffroy, J. and Reger, J. (2015). Finite-time simultaneous parameter and state estimation using modulating functions, IEEE Conference on Control Applications (CCA), Sydney, NSW, Australia, pp. 394–399.
- Khoury, R. and Harder, D. (2016). Numerical Methods and Modelling for Engineering, Springer, Cham.
- Kozłowski, J. and Kowalczuk, Z. (2015). On-line parameter and delay estimation of continuous-time dynamic systems, International Journal of Applied Mathematics and Computer Science25(2): 223–232, DOI: 10.1515/amcs-2015-0017.10.1515/amcs-2015-0017
- Maletinsky, V. (1979). Identification of continuous dynamical systems with spline-type modulating functions method, IFAC Proceedings Volumes12(8): 275–281.
- Pearson, A., Shen, Y. and Klein, V. (1994). Application of Fourier modulating functions to parameter estimation of a multivariable linear differential system, IFAC Proceedings Volumes27(8): 1013–1018.
- Preisig, H. and Rippin, D. (1993). Theory and application of the modulating function method. I: Review and theory of the method and theory of the spline-type modulating functions, Computers & Chemical Engineering17(1): 1–16.
- Rao, G.P., Diekmann, K. and Unbenhauen, H. (1984). Parameter estimation in large scale interconnected systems, IFAC Proceedings Volumes17(2): 729–733.
- Rao, G.P. and Sivakumar, G. (1979). Identification of deterministic time-lag systems, IEEE Transactions on Automatic Control21(4): 527–529.
- Rao, G.P. and Unbehauen, G. (2006). Identification of continous-time systems, IEE Proceedings: Control Theory and Applications153(2): 185–220.
- Shinbrot, M. (1957). On the analysis of linear and nonlinear systems, Transactions of the American Society of Mechanical Engineers: Journal of Basic Engineering79: 547–552.
- Wang, Q., Chalaye, G., Thomas, G. and Gilles, G. (1997). Predictive control of a glass process, Control Engineering Practice5(2): 167–173.
Language: English
Page range: 739 - 757
Submitted on: Dec 18, 2018
Accepted on: Aug 18, 2019
Published on: Dec 31, 2019
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Related subjects:
© 2019 Witold Byrski, Michał Drapała, Jȩdrzej Byrski, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.