Improving precision and robustness in level control of coupled tank systems: A tree seed optimization and μ-analysis approach
Background:: Efficient control of liquid levels in interconnected tank systems is a fundamental challenge in various industries, including chemical processes, wastewater treatment, and manufacturing. The traditional approach to achieving precise control has relied on Proportional–Integral–Derivative...
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Format: | Article |
Language: | English |
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Elsevier
2024-06-01
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Series: | Results in Control and Optimization |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720724000407 |
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author | Achu Govind K.R. Subhasish Mahapatra |
author_facet | Achu Govind K.R. Subhasish Mahapatra |
author_sort | Achu Govind K.R. |
collection | DOAJ |
description | Background:: Efficient control of liquid levels in interconnected tank systems is a fundamental challenge in various industries, including chemical processes, wastewater treatment, and manufacturing. The traditional approach to achieving precise control has relied on Proportional–Integral–Derivative (PID) controllers, whose performance largely depends on tuned parameters. However, tuning PID controllers for complex and nonlinear systems like coupled tanks remains a challenging task. In recent years, nature-inspired optimization algorithms have gained prominence in control system design. The tree seed optimization (TSO), inspired by the dispersion of tree seeds in search of optimal growth conditions, has shown promise in solving complex optimization problems. This study seeks to explore the application of TSO in tuning PID controllers for coupled tank systems. Methodology:: This research employs the TSO to optimize PID controller parameters for enhanced liquid-level control in coupled tank systems. The optimization process involves integrating performance metrics and closed-loop gain constraints to achieve optimal control of coupled tank systems. The imposed constraints aim to ensure robustness and system stability in the face of uncertainties and disturbances. Besides, μ analysis quantifies the robustness of the system by assessing its ability to tolerate uncertainties. Findings:: Simulation studies conducted in this research verify the efficacy of the proposed TSO-based approach for tuning PID controllers in coupled tank systems. Compared with various methods, the TSO consistently yields better control performance, reduces settling time, and minimizes overshoot. The robustness of the optimized controllers is also evaluated, showing the ability to handle varying operating conditions effectively. |
first_indexed | 2024-04-24T22:41:29Z |
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id | doaj.art-6688655d662b4f11b47d8019c4889a2d |
institution | Directory Open Access Journal |
issn | 2666-7207 |
language | English |
last_indexed | 2024-04-24T22:41:29Z |
publishDate | 2024-06-01 |
publisher | Elsevier |
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series | Results in Control and Optimization |
spelling | doaj.art-6688655d662b4f11b47d8019c4889a2d2024-03-19T04:19:17ZengElsevierResults in Control and Optimization2666-72072024-06-0115100410Improving precision and robustness in level control of coupled tank systems: A tree seed optimization and μ-analysis approachAchu Govind K.R.0Subhasish Mahapatra1School of Electronics Engineering, VIT-AP University, Near Vijayawada, Andhra Pradesh, IndiaCorresponding author.; School of Electronics Engineering, VIT-AP University, Near Vijayawada, Andhra Pradesh, IndiaBackground:: Efficient control of liquid levels in interconnected tank systems is a fundamental challenge in various industries, including chemical processes, wastewater treatment, and manufacturing. The traditional approach to achieving precise control has relied on Proportional–Integral–Derivative (PID) controllers, whose performance largely depends on tuned parameters. However, tuning PID controllers for complex and nonlinear systems like coupled tanks remains a challenging task. In recent years, nature-inspired optimization algorithms have gained prominence in control system design. The tree seed optimization (TSO), inspired by the dispersion of tree seeds in search of optimal growth conditions, has shown promise in solving complex optimization problems. This study seeks to explore the application of TSO in tuning PID controllers for coupled tank systems. Methodology:: This research employs the TSO to optimize PID controller parameters for enhanced liquid-level control in coupled tank systems. The optimization process involves integrating performance metrics and closed-loop gain constraints to achieve optimal control of coupled tank systems. The imposed constraints aim to ensure robustness and system stability in the face of uncertainties and disturbances. Besides, μ analysis quantifies the robustness of the system by assessing its ability to tolerate uncertainties. Findings:: Simulation studies conducted in this research verify the efficacy of the proposed TSO-based approach for tuning PID controllers in coupled tank systems. Compared with various methods, the TSO consistently yields better control performance, reduces settling time, and minimizes overshoot. The robustness of the optimized controllers is also evaluated, showing the ability to handle varying operating conditions effectively.http://www.sciencedirect.com/science/article/pii/S2666720724000407Coupled tank systemsTree seed optimizationμ analysisRobust controlPerformance metricsLoop gain |
spellingShingle | Achu Govind K.R. Subhasish Mahapatra Improving precision and robustness in level control of coupled tank systems: A tree seed optimization and μ-analysis approach Results in Control and Optimization Coupled tank systems Tree seed optimization μ analysis Robust control Performance metrics Loop gain |
title | Improving precision and robustness in level control of coupled tank systems: A tree seed optimization and μ-analysis approach |
title_full | Improving precision and robustness in level control of coupled tank systems: A tree seed optimization and μ-analysis approach |
title_fullStr | Improving precision and robustness in level control of coupled tank systems: A tree seed optimization and μ-analysis approach |
title_full_unstemmed | Improving precision and robustness in level control of coupled tank systems: A tree seed optimization and μ-analysis approach |
title_short | Improving precision and robustness in level control of coupled tank systems: A tree seed optimization and μ-analysis approach |
title_sort | improving precision and robustness in level control of coupled tank systems a tree seed optimization and μ analysis approach |
topic | Coupled tank systems Tree seed optimization μ analysis Robust control Performance metrics Loop gain |
url | http://www.sciencedirect.com/science/article/pii/S2666720724000407 |
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