Design of a fuzzy control strategy vs PID in multivariable linear coupled systems
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control strategy, fuzzy logic, PID, MIMO, tuning
This paper deals with the development and testing of a methodology that allows the end user to tune a fuzzy controller for multivariable systems (MIMO). The strategy was carried out by simulating a Wood-Berry methane-water distillation column model. By means of a series of steps described in this document where it is carried out from the identification of each one of the functions contained in a multivariable system. The calculation of the decoupling mesh that allows to eliminate the effect of one variable on the other. The tuning of the classic controller which will be used for the development of a fuzzy controller from the error signals, delta error and controller output. Finally, a comparison is made between the controllers designed by means of a robustness analysis and a performance analysis.
J. Calderón, “Control De Procesos Multivariables Mediante”, Universidad Nacional de Colombia, 2009, p. 35
L. A. Fariñas, “Sintonía de reguladores PID en sistemas multivariable”, 2006
V. D. Yurkevich, “MIMO tracking PI/PID controller design for nonlinear systems based on singular perturbation technique”, 2015
J. I. Fuentes, “Análisis y diseño de un sistema de control multivariable para el dispositivo Twin Rotor MIMO System”, 2003, p. 13
E. C. Goud, A. S. Rao and M. Chidambaram, “Improved decentralized PID controller design for MIMO processes”. IFAC-PapersOnLine, vol. 53, N. 1, 2020
C. Chen et al., “Adaptive fuzzy asymptotic control of MIMO systems with unknown input coefficients via a robust nussbaum gain based approach”, IEEE, 2016
D. Kalpana, T. Thyagarajan and N. Venkatachalam, “Design of fractional order pi controller for MIMO system using relay feedback”, IEEE, 2017
A. Margun, I. Furtat, and A. Kremlev. “Robust control of twin rotor MIMO system with quantized output”, 2017
R. Wood, M. Berry, "Terminal composition control of a binary distillation column", Chemical Engineering Science, vol. 28, no. 9, pp. 1707-1717, 1973
L. A. Zadeh, "Fuzzy Sets", Information Control, vol. 8, pp. 338-353, 1965
J. G. Jurado, “Diseño de sistemas de control multivariable por desacoplo con controladores PID”, 2012
H. A. López Ortiz y L. E. García Jaimes, “Automatización del proceso de secado de producto húmedo, usando un método de control multivariable no paramétrico”, Revista Politécnica, vol. 15, 28 jun, 2019
J. F. Ricardo Barrera y E. Barrios Urueña. “Control multivariable lineal con desacoples en un intercambiador de calor”, Revista Ingeniería Investigación y Desarrollo, vol. 17, no. 1, pp. 17–25, 2017
J. Espinosa, Control lineal de sistemas multivariables, Springer Reference, 2003
J. J. Oviedo, Control lineal de sistemas multivariable, 2003
P. A. Garrán, “Desacoples aproximado y por descomposición en valores singulares de sistemas de control MIMO”, 2009
R. O. Prato, M. Coronel Méndez y R. Rojas Sulbaran, “Efecto de las técnicas de desacoplamiento en sistemas multivariable”, 2017
V. Koppel y M. Segal. “Análisis de Estrategias de desacoplamiento en sistemas interactuantes de control de procesos”, 2004
R. Kumar, S. Anand, A. Khulbey and A. Nath Jha, "Design of Fractional Order Controller for Wood-Berry distillation column," 2020. IEEE 17th India Council International Conference (INDICON), 2020, pp. 1-6
P. Acharya, G. Dumpa & T. K. Dan. “Modelling and control of distillation column”, 2016. International Conference on Computation of Power, Energy Information and Communication (ICCPEIC), 2016
C. L. Smith, “Digital Computer Process Control”, Scranton, Pa., EUA, International Textbook Co., 1972
J. G. Ziegler and N. B. Nichols, “Optimum Settings for Automatic Controllers”, Transactions of the ASME, 64, 1942
P. Ponce Cruz. Inteligencia con aplicaciones a la ingeniería, 2010
A. Rodríguez Mariano et al. “Análisis del desempeño de controladores lineales sintonizados en diferentes estados estacionarios del biorreactor de Cholette mediante técnicas de decisión multi-criterio”, Revista Mexicana de Ingeniería Química, vol. 14, no. 3, pp. 167–204. 2015
This paper deals with the development and testing of a methodology that allows the end user to tune a fuzzy controller for multivariable systems (MIMO). The strategy was carried out by simulating a Wood-Berry methane-water distillation column model. By means of a series of steps described in this document where it is carried out from the identification of each one of the functions contained in a multivariable system. The calculation of the decoupling mesh that allows to eliminate the effect of one variable on the other. The tuning of the classic controller which will be used for the development of a fuzzy controller from the error signals, delta error and controller output. Finally, a comparison is made between the controllers designed by means of a robustness analysis and a performance analysis.
J. Calderón, “Control De Procesos Multivariables Mediante”, Universidad Nacional de Colombia, 2009, p. 35
L. A. Fariñas, “Sintonía de reguladores PID en sistemas multivariable”, 2006
V. D. Yurkevich, “MIMO tracking PI/PID controller design for nonlinear systems based on singular perturbation technique”, 2015
J. I. Fuentes, “Análisis y diseño de un sistema de control multivariable para el dispositivo Twin Rotor MIMO System”, 2003, p. 13
E. C. Goud, A. S. Rao and M. Chidambaram, “Improved decentralized PID controller design for MIMO processes”. IFAC-PapersOnLine, vol. 53, N. 1, 2020
C. Chen et al., “Adaptive fuzzy asymptotic control of MIMO systems with unknown input coefficients via a robust nussbaum gain based approach”, IEEE, 2016
D. Kalpana, T. Thyagarajan and N. Venkatachalam, “Design of fractional order pi controller for MIMO system using relay feedback”, IEEE, 2017
A. Margun, I. Furtat, and A. Kremlev. “Robust control of twin rotor MIMO system with quantized output”, 2017
R. Wood, M. Berry, "Terminal composition control of a binary distillation column", Chemical Engineering Science, vol. 28, no. 9, pp. 1707-1717, 1973
L. A. Zadeh, "Fuzzy Sets", Information Control, vol. 8, pp. 338-353, 1965
J. G. Jurado, “Diseño de sistemas de control multivariable por desacoplo con controladores PID”, 2012
H. A. López Ortiz y L. E. García Jaimes, “Automatización del proceso de secado de producto húmedo, usando un método de control multivariable no paramétrico”, Revista Politécnica, vol. 15, 28 jun, 2019
J. F. Ricardo Barrera y E. Barrios Urueña. “Control multivariable lineal con desacoples en un intercambiador de calor”, Revista Ingeniería Investigación y Desarrollo, vol. 17, no. 1, pp. 17–25, 2017
J. Espinosa, Control lineal de sistemas multivariables, Springer Reference, 2003
J. J. Oviedo, Control lineal de sistemas multivariable, 2003
P. A. Garrán, “Desacoples aproximado y por descomposición en valores singulares de sistemas de control MIMO”, 2009
R. O. Prato, M. Coronel Méndez y R. Rojas Sulbaran, “Efecto de las técnicas de desacoplamiento en sistemas multivariable”, 2017
V. Koppel y M. Segal. “Análisis de Estrategias de desacoplamiento en sistemas interactuantes de control de procesos”, 2004
R. Kumar, S. Anand, A. Khulbey and A. Nath Jha, "Design of Fractional Order Controller for Wood-Berry distillation column," 2020. IEEE 17th India Council International Conference (INDICON), 2020, pp. 1-6
P. Acharya, G. Dumpa & T. K. Dan. “Modelling and control of distillation column”, 2016. International Conference on Computation of Power, Energy Information and Communication (ICCPEIC), 2016
C. L. Smith, “Digital Computer Process Control”, Scranton, Pa., EUA, International Textbook Co., 1972
J. G. Ziegler and N. B. Nichols, “Optimum Settings for Automatic Controllers”, Transactions of the ASME, 64, 1942
P. Ponce Cruz. Inteligencia con aplicaciones a la ingeniería, 2010
A. Rodríguez Mariano et al. “Análisis del desempeño de controladores lineales sintonizados en diferentes estados estacionarios del biorreactor de Cholette mediante técnicas de decisión multi-criterio”, Revista Mexicana de Ingeniería Química, vol. 14, no. 3, pp. 167–204. 2015
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