Liquid level tracking for a coupled tank system using quasi–lpv control
This article proposes a gain-scheduling procedure based on quasi-LPV modeling for a nonlinear coupled tank system to track the liquid level with zero steady-state error. The nonlinearities are directly represented by a parameter vector that varies within a bounded set constrained by the physical li...
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| Format: | Article |
| Language: | English |
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Universidad Politécnica Salesiana
2025-01-01
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| Series: | Ingenius: Revista de Ciencia y Tecnología |
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| Online Access: | https://revistas.ups.edu.ec/index.php/ingenius/article/view/8603 |
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| author | Pedro Teppa-Garran Diego Muñoz-de Escalona Javier Zambrano |
| author_facet | Pedro Teppa-Garran Diego Muñoz-de Escalona Javier Zambrano |
| author_sort | Pedro Teppa-Garran |
| collection | DOAJ |
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This article proposes a gain-scheduling procedure based on quasi-LPV modeling for a nonlinear coupled tank system to track the liquid level with zero steady-state error. The nonlinearities are directly represented by a parameter vector that varies within a bounded set constrained by the physical limits of the tank system levels. This approach enables accurate nonlinear system modeling using a linear parameter-varying model. State-feedback linear controllers are designed at the extreme vertices of the bounded set. The global controller is derived as the weighted average of local controller contributions, with the weighting determined by the instantaneous values of the parameter vector. Two interpolation mechanisms are proposed to implement this weighted averaging of the linear controllers. The results confirm the effectiveness of the proposed method in achieving accurate liquid level tracking.
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| format | Article |
| id | doaj-art-d2621587f5f14321b0ca1bf9a0a07978 |
| institution | Kabale University |
| issn | 1390-650X 1390-860X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Universidad Politécnica Salesiana |
| record_format | Article |
| series | Ingenius: Revista de Ciencia y Tecnología |
| spelling | doaj-art-d2621587f5f14321b0ca1bf9a0a079782025-02-07T16:30:09ZengUniversidad Politécnica SalesianaIngenius: Revista de Ciencia y Tecnología1390-650X1390-860X2025-01-013310.17163/ings.n33.2025.02Liquid level tracking for a coupled tank system using quasi–lpv controlPedro Teppa-Garran0https://orcid.org/0000-0001-6384-3185Diego Muñoz-de Escalona1https://orcid.org/0009-0007-0860-1723Javier Zambrano2https://orcid.org/0009-0008-3014-7800Universidad MetropolitanaUniversidad MetropolitanaUniversidad Metropolitana This article proposes a gain-scheduling procedure based on quasi-LPV modeling for a nonlinear coupled tank system to track the liquid level with zero steady-state error. The nonlinearities are directly represented by a parameter vector that varies within a bounded set constrained by the physical limits of the tank system levels. This approach enables accurate nonlinear system modeling using a linear parameter-varying model. State-feedback linear controllers are designed at the extreme vertices of the bounded set. The global controller is derived as the weighted average of local controller contributions, with the weighting determined by the instantaneous values of the parameter vector. Two interpolation mechanisms are proposed to implement this weighted averaging of the linear controllers. The results confirm the effectiveness of the proposed method in achieving accurate liquid level tracking. https://revistas.ups.edu.ec/index.php/ingenius/article/view/8603Coupled-Tank SystemGain SchedulingNonlinear SystemsQuasi-LPVTracking Problem |
| spellingShingle | Pedro Teppa-Garran Diego Muñoz-de Escalona Javier Zambrano Liquid level tracking for a coupled tank system using quasi–lpv control Ingenius: Revista de Ciencia y Tecnología Coupled-Tank System Gain Scheduling Nonlinear Systems Quasi-LPV Tracking Problem |
| title | Liquid level tracking for a coupled tank system using quasi–lpv control |
| title_full | Liquid level tracking for a coupled tank system using quasi–lpv control |
| title_fullStr | Liquid level tracking for a coupled tank system using quasi–lpv control |
| title_full_unstemmed | Liquid level tracking for a coupled tank system using quasi–lpv control |
| title_short | Liquid level tracking for a coupled tank system using quasi–lpv control |
| title_sort | liquid level tracking for a coupled tank system using quasi lpv control |
| topic | Coupled-Tank System Gain Scheduling Nonlinear Systems Quasi-LPV Tracking Problem |
| url | https://revistas.ups.edu.ec/index.php/ingenius/article/view/8603 |
| work_keys_str_mv | AT pedroteppagarran liquidleveltrackingforacoupledtanksystemusingquasilpvcontrol AT diegomunozdeescalona liquidleveltrackingforacoupledtanksystemusingquasilpvcontrol AT javierzambrano liquidleveltrackingforacoupledtanksystemusingquasilpvcontrol |