Observador de Alta Ganancia Constante para una Clase de Sistema No Lineal de Forma Triangular

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Constant High-Gain Observer for a class of Triangular-Form Nonlinear System

[EN] In this article a continuous-discrete high-gain observer is presented to estimate the molar compositions in a distillation column for the Ethanol-Water mixture, by using the measurements of the temperatures in its plates. One of the main advantages of this observer is its constant gain, which is why its tuning depends only on choosing constant parameters that must satisfy some simple algebraic inequalities. The continuous-discrete observer presents a good pursuit of the process dynamics in spite of using less data than a purely discrete observer. The effectiveness of the proposed method is demonstrated using experimental data.[ES] En este artículo se presenta un observador de alta ganancia continuo-discreto para estimar las composiciones molares en una columna de destilación para la mezcla Etanol-Agua, empleando las mediciones de las temperaturas en los platos. Una de las principales ventajas de este observador es su ganancia constante, por lo que sintonizarlo depende únicamente de la elección de parámetros constantes que deben satisfacer algunas desigualdades algebraicas simples. El observador continuo-discreto presenta un buen seguimiento de la dinámica del proceso a pesar de usar menos datos que un observador puramente discreto. La efectividad del método propuesto es demostrado empleando datos experimentales.Aguilera-González, A.; Téllez-Anguiano, A.; Astorga-Zaragoza, CM.; Juárez-Romero, D.; Quintero-Mármol, E. (2010). Validación Experimental de un Observador de Alta Ganancia Constante Continuo-Discreto para una Columna de Destilación Binaria. Revista Iberoamericana de Automática e Informática industrial. 7(2):31-38. https://doi.org/10.1016/S1697-7912(10)70023-6313872Ben, S. (1997). Observation et commande de systemes non lineaires temps-discret. PhD thesis. Universite Claude Bernard-Lyon 1. Lyon, France.Deza, F., Busvelle, E., & Gauthier, J. P. (1992). Exponentially converging observers for distillation columns and internal stability of the dynamic output feedback. Chemical Engineering Science, 47(15-16), 3935-3941. doi:10.1016/0009-2509(92)85142-xHalvorsen, I. J., & Skogestad, S. (2000). DISTILLATION | Theory Of Distillation. Encyclopedia of Separation Science, 1117-1134. doi:10.1016/b0-12-226770-2/00631-1Hammouri, H., Targui, B., & Armanet, F. (2002). High gain observer based on a triangular structure. International Journal of Robust and Nonlinear Control, 12(6), 497-518. doi:10.1002/rnc.638Ibrir, S. (2007). Circle-criterion approach to discrete-time nonlinear observer design. Automatica, 43(8), 1432-1441. doi:10.1016/j.automatica.2007.01.012Jana, A. K., Nath Samanta, A., & Ganguly, S. (2006). Observer-based control algorithms for a distillation column. Chemical Engineering Science, 61(12), 4071-4085. doi:10.1016/j.ces.2006.01.043Murray-Gunther, A. (2003). Dynamic Mathematical Model of a Distillation Column. PhD thesis. University of Tenessee at Chattanooga.Nadri, M., Hammouri, H., & Astorga, C. (2004). Observer Design for Continuous-Discrete Time State Affine Systems up to Output Injection. European Journal of Control, 10(3), 252-263. doi:10.3166/ejc.10.252-263Perry, R.H. (1999). Perry's chemical engineer's handbook. 7 ed.Quintero-Marmol, E., Luyben, W. L., & Georgakis, C. (1991). Application of an extended Luenberger observer to the control of multicomponent batch distillation. Industrial & Engineering Chemistry Research, 30(8), 1870-1880. doi:10.1021/ie00056a029Shields, D. N., Ashton, S. A., & Daley, S. (2001). Design of nonlinear observers for detecting faults in hydraulic sub-sea pipelines. Control Engineering Practice, 9(3), 297-311. doi:10.1016/s0967-0661(00)00113-1Tronci, S., Bezzo, F., Barolo, M., & Baratti, R. (2005). Geometric Observer for a Distillation Column:  Development and Experimental Testing. Industrial & Engineering Chemistry Research, 44(26), 9884-9893. doi:10.1021/ie048751nYaz, E. E., Jeong, C. S., Bahakeem, A., & Yaz, Y. I. (2007). Discrete-time nonlinear observer design with general criteria. Journal of the Franklin Institute, 344(6), 918-928. doi:10.1016/j.jfranklin.2006.12.00