University of Oulu

J. Vasara, I. Selek and E. Ikonen, "Asymptotic analysis of a control–oriented open channel flow model," 2021 9th International Conference on Systems and Control (ICSC), 2021, pp. 223-228, doi: 10.1109/ICSC50472.2021.9666660

Asymptotic analysis of a control : oriented open channel flow model

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Author: Vasara, Joni1; Selek, István1; Ikonen, Enso1
Organizations: 1Intelligent Machines and Systems, University of Oulu, Oulu, Finland
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 0.3 MB)
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Language: English
Published: Institute of Electrical and Electronics Engineers, 2021
Publish Date: 2022-01-17


This paper presents the development and mathematical analysis of an open-channel flow model. A tanks-in-series model relying on systems engineering perspectives is constructed. Through a series of assumptions, the obtained nonlinear model is approximated by a linear dynamics, and its asymptotic modal behavior is analysed in infinite dimensions using rigorous mathematical machinery. The analysis exploits the repeating tridiagonal structure of the system matrix using Chebyshev polynomials and elaborates the dependence of the modal dynamics on the so-called flow coefficient, which accounts for the description of the flow of the model. The analysis presented in this paper reveals that using constant flow coefficient for flow description in cascade arrangement of liquid storages results in physically meaningless asymptotic modal behavior. The asymptotic modal behavior is well defined if the flow coefficient is an affine function or higher-order polynomial of the number of elements in the cascade structure.

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Series: International Conference on Systems and Control
ISSN: 2379-0059
ISSN-E: 2379-0067
ISSN-L: 2379-0059
ISBN: 978-1-6654-0782-3
ISBN Print: 978-1-6654-0781-6
Pages: 223 - 228
DOI: 10.1109/ICSC50472.2021.9666660
Host publication: 2021 9th International Conference on Systems and Control (ICSC), 24-26 Nov 2021, Caen, France
Conference: International Conference on Systems and Control
Type of Publication: A4 Article in conference proceedings
Field of Science: 111 Mathematics
213 Electronic, automation and communications engineering, electronics
Funding: The financial support and cooperation provided by PVO Vesivoima Oy is gratefully acknowledged by the authors.
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