Adaptive Control for Narrow Bandwidth Input and Output Disturbance Rejection for a Non-Isothermal CSTR System
This paper presents an adaptive control scheme to face the challenge of rejecting input and output disturbances. The research is put on a layer of the design and start-up of chemical plants. The emphasis is on handling disturbances appearing in a narrow band of frequencies, which illustrates standar...
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MDPI AG
2022-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/18/3224 |
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| author | Susana Haydee Sainz-García Guadalupe López López Víctor M. Alvarado Jesse Y. Rumbo Morales Estela Sarmiento-Bustos Omar Alí Zatarain Durán |
| author_facet | Susana Haydee Sainz-García Guadalupe López López Víctor M. Alvarado Jesse Y. Rumbo Morales Estela Sarmiento-Bustos Omar Alí Zatarain Durán |
| author_sort | Susana Haydee Sainz-García |
| collection | DOAJ |
| description | This paper presents an adaptive control scheme to face the challenge of rejecting input and output disturbances. The research is put on a layer of the design and start-up of chemical plants. The emphasis is on handling disturbances appearing in a narrow band of frequencies, which illustrates standard forms of disturbances in the alluded kind of systems. The controller is made up of a central RS structure that stabilizes the closed-loop plant. A second layer boosts the control law performance by adding the Youla–Kucera (YK) filter or <i>Q</i> parametrization and taking advantage of the internal model principle (IMP). This practice aids in modeling unknown disturbances with online control adjustment. We probe the resultant compensator for three non-isothermal continuous stirred tank reactors connected in series. The plant should conduct a first-order exothermic reaction consuming reactant A, while an isothermal operation stays and the outlet concentration is close to its nominal value. The primary concerns are open-loop instability and steady-state multiplicity in the plant’s first unit. The control objective is to reject input and output disturbances in a band of frequencies of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.0002</mn><mspace width="3.33333pt"></mspace><mi>Hz</mi></mrow></semantics></math></inline-formula> to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.007</mn><mspace width="3.33333pt"></mspace><mi>Hz</mi></mrow></semantics></math></inline-formula>, whether there are variants or not in time. We test the controller with input signals depicting both variations in the auxiliary services and abrupt changes. We then compare the executions of the resultant control law with a model-based predictive control (MPC). We find comparable responses to multiple disturbances. However, the adaptive control offers an effortless control input. We also conclude that the adaptive controller responds well to reference changes, while the MPC fails due to input constraints. |
| first_indexed | 2024-03-09T23:17:09Z |
| format | Article |
| id | doaj.art-f817896dd69542f9b4c7e6ac9d251ce1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:17:09Z |
| publishDate | 2022-09-01 |
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| series | Mathematics |
| spelling | doaj.art-f817896dd69542f9b4c7e6ac9d251ce12023-11-23T17:34:53ZengMDPI AGMathematics2227-73902022-09-011018322410.3390/math10183224Adaptive Control for Narrow Bandwidth Input and Output Disturbance Rejection for a Non-Isothermal CSTR SystemSusana Haydee Sainz-García0Guadalupe López López1Víctor M. Alvarado2Jesse Y. Rumbo Morales3Estela Sarmiento-Bustos4Omar Alí Zatarain Durán5TecNM/CENIDET, Int. Internado Palmira s/n, Cuernavaca 62490, MexicoTecNM/CENIDET, Int. Internado Palmira s/n, Cuernavaca 62490, MexicoTecNM/CENIDET, Int. Internado Palmira s/n, Cuernavaca 62490, MexicoCentro Universitario de los Valles, Universidad de Guadalajara, Carretera Guadalajara, Ameca km 45.5, Ameca 46600, MexicoDivisión Académica de Mecánica Industrial, Universidad Tecnológica Emiliano Zapata del Estado de Morelos, Avenida Universidad Tecnológica No. 1, Col. Palo Escrito, Emiliano Zapata 62760, MexicoCentro Universitario de los Valles, Universidad de Guadalajara, Carretera Guadalajara, Ameca km 45.5, Ameca 46600, MexicoThis paper presents an adaptive control scheme to face the challenge of rejecting input and output disturbances. The research is put on a layer of the design and start-up of chemical plants. The emphasis is on handling disturbances appearing in a narrow band of frequencies, which illustrates standard forms of disturbances in the alluded kind of systems. The controller is made up of a central RS structure that stabilizes the closed-loop plant. A second layer boosts the control law performance by adding the Youla–Kucera (YK) filter or <i>Q</i> parametrization and taking advantage of the internal model principle (IMP). This practice aids in modeling unknown disturbances with online control adjustment. We probe the resultant compensator for three non-isothermal continuous stirred tank reactors connected in series. The plant should conduct a first-order exothermic reaction consuming reactant A, while an isothermal operation stays and the outlet concentration is close to its nominal value. The primary concerns are open-loop instability and steady-state multiplicity in the plant’s first unit. The control objective is to reject input and output disturbances in a band of frequencies of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.0002</mn><mspace width="3.33333pt"></mspace><mi>Hz</mi></mrow></semantics></math></inline-formula> to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.007</mn><mspace width="3.33333pt"></mspace><mi>Hz</mi></mrow></semantics></math></inline-formula>, whether there are variants or not in time. We test the controller with input signals depicting both variations in the auxiliary services and abrupt changes. We then compare the executions of the resultant control law with a model-based predictive control (MPC). We find comparable responses to multiple disturbances. However, the adaptive control offers an effortless control input. We also conclude that the adaptive controller responds well to reference changes, while the MPC fails due to input constraints.https://www.mdpi.com/2227-7390/10/18/3224adaptive controlRS controlrobust controlnon-isothermal CSTRdisturbance rejectionserial process |
| spellingShingle | Susana Haydee Sainz-García Guadalupe López López Víctor M. Alvarado Jesse Y. Rumbo Morales Estela Sarmiento-Bustos Omar Alí Zatarain Durán Adaptive Control for Narrow Bandwidth Input and Output Disturbance Rejection for a Non-Isothermal CSTR System Mathematics adaptive control RS control robust control non-isothermal CSTR disturbance rejection serial process |
| title | Adaptive Control for Narrow Bandwidth Input and Output Disturbance Rejection for a Non-Isothermal CSTR System |
| title_full | Adaptive Control for Narrow Bandwidth Input and Output Disturbance Rejection for a Non-Isothermal CSTR System |
| title_fullStr | Adaptive Control for Narrow Bandwidth Input and Output Disturbance Rejection for a Non-Isothermal CSTR System |
| title_full_unstemmed | Adaptive Control for Narrow Bandwidth Input and Output Disturbance Rejection for a Non-Isothermal CSTR System |
| title_short | Adaptive Control for Narrow Bandwidth Input and Output Disturbance Rejection for a Non-Isothermal CSTR System |
| title_sort | adaptive control for narrow bandwidth input and output disturbance rejection for a non isothermal cstr system |
| topic | adaptive control RS control robust control non-isothermal CSTR disturbance rejection serial process |
| url | https://www.mdpi.com/2227-7390/10/18/3224 |
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