Optimal tracking in two-degree-of-freedom control systems: Coupled tank system
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad Nacional Autónoma de México
2023
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| _version_ | 1876448715520081920 |
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| author | P. Teppa-Garran |
| author_facet | P. Teppa-Garran |
| contents | Optimal tracking in two-degree-of-freedom control systems: Coupled tank system P. Teppa-Garran M. Faggioni G. Garcia Ingeniería of two LQR 2 DoF degree This article presents an optimal design of a two-degree-of-freedom (2-DoF) controller that will lead to zero asymptotic steady-state tracking error. The reference inputs are chosen from the set of steps, ramps, and other persistent signals used currently. The main idea is to transform the tracking 2-DoF problem into an equivalent state-space feedback-control synthesis one. Where, an internal model of the reference input is introduced. Then, through the linear quadratic regulator (LQR) technique, the desired performance objectives are addressed by minimizing a quadratic cost function. Finally, the computed state-feedback optimal gains are linked to the polynomials used within the 2-DoF formalism. The fundamental aspect of the design is that it only utilizes the measurable information of the plant provided by its inputs and outputs and takes advantage of efficient state-space numerical algorithms. The proposed method is applied to a coupled-tank system, the results achieved confirm the effectiveness of the approach. 2023 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47480097006 https://www.redalyc.org/journal/474/47480097006/ https://www.redalyc.org/journal/474/47480097006/html/ https://www.redalyc.org/journal/474/47480097006/47480097006.epub https://www.redalyc.org/journal/474/47480097006/movil 10.22201/icat.24486736e.2023.21.4.2000 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.4 Vol.21 |
| format | Artículo científico |
| id | redalyc_47480097006 |
| institution | Redalyc |
| language | en |
| publishDate | 2023 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | Optimal tracking in two-degree-of-freedom control systems: Coupled tank system P. Teppa-Garran Ingeniería of two LQR 2 DoF degree Optimal tracking in two-degree-of-freedom control systems: Coupled tank system P. Teppa-Garran M. Faggioni G. Garcia Ingeniería of two LQR 2 DoF degree This article presents an optimal design of a two-degree-of-freedom (2-DoF) controller that will lead to zero asymptotic steady-state tracking error. The reference inputs are chosen from the set of steps, ramps, and other persistent signals used currently. The main idea is to transform the tracking 2-DoF problem into an equivalent state-space feedback-control synthesis one. Where, an internal model of the reference input is introduced. Then, through the linear quadratic regulator (LQR) technique, the desired performance objectives are addressed by minimizing a quadratic cost function. Finally, the computed state-feedback optimal gains are linked to the polynomials used within the 2-DoF formalism. The fundamental aspect of the design is that it only utilizes the measurable information of the plant provided by its inputs and outputs and takes advantage of efficient state-space numerical algorithms. The proposed method is applied to a coupled-tank system, the results achieved confirm the effectiveness of the approach. 2023 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47480097006 https://www.redalyc.org/journal/474/47480097006/ https://www.redalyc.org/journal/474/47480097006/html/ https://www.redalyc.org/journal/474/47480097006/47480097006.epub https://www.redalyc.org/journal/474/47480097006/movil 10.22201/icat.24486736e.2023.21.4.2000 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.4 Vol.21 |
| title | Optimal tracking in two-degree-of-freedom control systems: Coupled tank system |
| topic | Ingeniería of two LQR 2 DoF degree |
| url | https://www.redalyc.org/articulo.oa?id=47480097006 https://www.redalyc.org/journal/474/47480097006/ https://www.redalyc.org/journal/474/47480097006/html/ https://www.redalyc.org/journal/474/47480097006/47480097006.epub https://www.redalyc.org/journal/474/47480097006/movil |