Nonlinear MIMO Control of a Continuous Cooling Crystallizer
In this work, a feedback control algorithm was developed based on geometric control theory. A nonisothermal seeded continuous crystallizer model was used to test the algorithm. The control objectives were the stabilization of the third moment of the crystal size distribution (μ3) and the crystallize...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2012/912071 |
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| _version_ | 1832564153449971712 |
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| author | Pedro Alberto Quintana-Hernández Raúl Ocampo-Pérez Salvador Tututi-Avila Salvador Hernández-Castro |
| author_facet | Pedro Alberto Quintana-Hernández Raúl Ocampo-Pérez Salvador Tututi-Avila Salvador Hernández-Castro |
| author_sort | Pedro Alberto Quintana-Hernández |
| collection | DOAJ |
| description | In this work, a feedback control algorithm was developed based on geometric control theory. A nonisothermal seeded continuous crystallizer model was used to test the algorithm. The control objectives were the stabilization of the third moment of the crystal size distribution (μ3) and the crystallizer temperature (T); the manipulated variables were the stirring rate and the coolant flow rate. The nonlinear control (NLC) was tested at operating conditions established within the metastable zone. Step changes of magnitudes ±0.0015 and ±0.5°C were introduced into the set point values of the third moment and crystallizer temperature, respectively. In addition, a step change of ±1°C was introduced as a disturbance in the feeding temperature. Closed-loop stability was analyzed by calculating the eigenvalues of the internal dynamics. The system presented a stable dynamic behavior when the operation conditions maintain the crystallizer concentration within the metastable zone. Closed-loop simulations with the NLC were compared with simulations that used a classic PID controller. The PID controllers were tuned by minimizing the integral of the absolute value of the error (IAE) criterion. The results showed that the NLC provided a suitable option for continuous crystallization control. For all analyzed cases, the IAEs obtained with NLC were smaller than those obtained with the PID controller. |
| format | Article |
| id | doaj-art-d8c7b99c689d499a9bec1662b58fedff |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-d8c7b99c689d499a9bec1662b58fedff2025-02-03T01:11:42ZengWileyModelling and Simulation in Engineering1687-55911687-56052012-01-01201210.1155/2012/912071912071Nonlinear MIMO Control of a Continuous Cooling CrystallizerPedro Alberto Quintana-Hernández0Raúl Ocampo-Pérez1Salvador Tututi-Avila2Salvador Hernández-Castro3Departamento de Ingenieria Quimica, Instituto Tecnológico de Celaya, Avenida Tecnológico y García Cubas S/N, 38010 Celaya, GTO, MexicoDepartamento de Ingenieria Quimica, Instituto Tecnológico de Celaya, Avenida Tecnológico y García Cubas S/N, 38010 Celaya, GTO, MexicoDepartamento de Ingenieria Quimica, Instituto Tecnológico de Celaya, Avenida Tecnológico y García Cubas S/N, 38010 Celaya, GTO, MexicoFacultad de Química, Universidad de Guanajuato, Noria Alta s/n, 36050 Guanajuato, GTO, MexicoIn this work, a feedback control algorithm was developed based on geometric control theory. A nonisothermal seeded continuous crystallizer model was used to test the algorithm. The control objectives were the stabilization of the third moment of the crystal size distribution (μ3) and the crystallizer temperature (T); the manipulated variables were the stirring rate and the coolant flow rate. The nonlinear control (NLC) was tested at operating conditions established within the metastable zone. Step changes of magnitudes ±0.0015 and ±0.5°C were introduced into the set point values of the third moment and crystallizer temperature, respectively. In addition, a step change of ±1°C was introduced as a disturbance in the feeding temperature. Closed-loop stability was analyzed by calculating the eigenvalues of the internal dynamics. The system presented a stable dynamic behavior when the operation conditions maintain the crystallizer concentration within the metastable zone. Closed-loop simulations with the NLC were compared with simulations that used a classic PID controller. The PID controllers were tuned by minimizing the integral of the absolute value of the error (IAE) criterion. The results showed that the NLC provided a suitable option for continuous crystallization control. For all analyzed cases, the IAEs obtained with NLC were smaller than those obtained with the PID controller.http://dx.doi.org/10.1155/2012/912071 |
| spellingShingle | Pedro Alberto Quintana-Hernández Raúl Ocampo-Pérez Salvador Tututi-Avila Salvador Hernández-Castro Nonlinear MIMO Control of a Continuous Cooling Crystallizer Modelling and Simulation in Engineering |
| title | Nonlinear MIMO Control of a Continuous Cooling Crystallizer |
| title_full | Nonlinear MIMO Control of a Continuous Cooling Crystallizer |
| title_fullStr | Nonlinear MIMO Control of a Continuous Cooling Crystallizer |
| title_full_unstemmed | Nonlinear MIMO Control of a Continuous Cooling Crystallizer |
| title_short | Nonlinear MIMO Control of a Continuous Cooling Crystallizer |
| title_sort | nonlinear mimo control of a continuous cooling crystallizer |
| url | http://dx.doi.org/10.1155/2012/912071 |
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