Adaptive Control for Narrow Bandwidth Input and Output Disturbance Rejection for a Non-Isothermal CSTR System

Susana Haydee Sainz-García, Guadalupe López López (), Víctor M. Alvarado, Jesse Y. Rumbo Morales, Estela Sarmiento-Bustos and Omar Alí Zatarain Durán
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Susana Haydee Sainz-García: TecNM/CENIDET, Int. Internado Palmira s/n, Cuernavaca 62490, Mexico
Guadalupe López López: TecNM/CENIDET, Int. Internado Palmira s/n, Cuernavaca 62490, Mexico
Víctor M. Alvarado: TecNM/CENIDET, Int. Internado Palmira s/n, Cuernavaca 62490, Mexico
Jesse Y. Rumbo Morales: Centro Universitario de los Valles, Universidad de Guadalajara, Carretera Guadalajara, Ameca km 45.5, Ameca 46600, Mexico
Estela Sarmiento-Bustos: División Académica de Mecánica Industrial, Universidad Tecnológica Emiliano Zapata del Estado de Morelos, Avenida Universidad Tecnológica No. 1, Col. Palo Escrito, Emiliano Zapata 62760, Mexico
Omar Alí Zatarain Durán: Centro Universitario de los Valles, Universidad de Guadalajara, Carretera Guadalajara, Ameca km 45.5, Ameca 46600, Mexico

Mathematics, 2022, vol. 10, issue 18, 1-29

Abstract: 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 Q 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 0.0002 Hz to 0.007 Hz , 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.

Keywords: adaptive control; RS control; robust control; non-isothermal CSTR; disturbance rejection; serial process (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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