@inproceedings{d4810d2dc4e347c5b8ef116dc2b67d74,
title = "Application of Mathematical Models to Estimate the Water Level Stability in a Two-Tank System in Series with Service Demand Variations",
abstract = "In this research work, a two-tank system in series was developed. In this system, water flows from the first tank to the second. Opening variations were present in the inlet valve, while the opening flow was fixed in the outlet valve. Using differential equations, the Jacobian matrix and eigenvalues, it was possible to analyze the stability of the system and obtain the equilibrium points. To estimate the adequate water levels, a linear and nonlinear model were implemented. Both models were able to estimate in real time the tanks water levels, identifying the system equilibrium points, this ensured the service demand. A simulation process was applied to evaluate the model{\textquoteright}s behavior over time. This simulation was performed using the Simulink tool of Matlab. Both linear and nonlinear models obtained similar results. Results analysis suggested the use of the linear model to implement the control system, since its transfer functions compositions are less complex and more efficient to deploy.",
keywords = "Control systems, Couple tank system, Equilibrium points, Stability",
author = "Nilthon Arce and Jos{\'e} Piedra and Eder Escobar and Edwar Lujan and Luis Aguilar and Flabio Gutierrez",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.; 21st International Conference on Computational Science and Its Applications, ICCSA 2021 ; Conference date: 13-09-2021 Through 16-09-2021",
year = "2021",
doi = "10.1007/978-3-030-86653-2_35",
language = "English",
isbn = "9783030866525",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "479--492",
editor = "Osvaldo Gervasi and Beniamino Murgante and Sanjay Misra and Chiara Garau and Ivan Ble{\v c}i{\'c} and David Taniar and Apduhan, {Bernady O.} and Rocha, {Ana Maria} and Eufemia Tarantino and Torre, {Carmelo Maria}",
booktitle = "Computational Science and Its Applications – ICCSA 2021 - 21st International Conference, Proceedings",
}