A hybrid sliding mode control based on a nonlinear PID surface for nonlinear chemical processes

This work formulated and synthesized a hybrid control framework based on sliding mode control and internal model concepts. The resulting design conducts a Dynamic Sliding Mode Control (DSMC) approach based on a Nonlinear PID (NPID) sliding surface. The design procedure first uses the reaction curve...

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Main Authors: Mateo Vásquez, Joseline Yanascual, Marco Herrera, Alvaro Prado, Oscar Camacho
Format: Article
Language:English
Published: Elsevier 2023-04-01
Series:Engineering Science and Technology, an International Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2215098623000381
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author Mateo Vásquez
Joseline Yanascual
Marco Herrera
Alvaro Prado
Oscar Camacho
author_facet Mateo Vásquez
Joseline Yanascual
Marco Herrera
Alvaro Prado
Oscar Camacho
author_sort Mateo Vásquez
collection DOAJ
description This work formulated and synthesized a hybrid control framework based on sliding mode control and internal model concepts. The resulting design conducts a Dynamic Sliding Mode Control (DSMC) approach based on a Nonlinear PID (NPID) sliding surface. The design procedure first uses the reaction curve identification method to obtain a reduced-order model from the nonlinear system. A First-Order Plus Dead-Time (FOPDT) model represents the reduced order model. The resulting controller is derived from the reduced-order model and the nonlinear surface. Therefore, a hybrid control framework (DSMC-NPID) is obtained and then applied to a couple of nonlinear chemical processes, a Variable Height Mixing Tank (VHMT), and a Continuous Stirred Tank Reactor (CSTR) in both cases to track reference trajectories and reject disturbances. Then, the proposed control approach is assessed and compared to a PID controller and a DSMC with a linear PID surface. Such evaluation is carried out using control performance indices such as Integral Square Error (ISE), Maximum Overshoot (MO), control total variation (TVu), and Settling Time (ST), respectively. Finally, the results of experimental trials were quantitatively compared to each controller, demonstrating that the DSMC-NPID approach could reduce the ISE by around 6.3%, MO by 89.3%, and ST by 17.6% regarding DSMC-PID. In addition, the results obtained for the CSTR system were similar, demonstrating that the proposed control strategy is suitable for different industrial processes.
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spelling doaj.art-a8fdfb5905bb4bc9ac94f58676c1a43a2023-03-02T04:59:28ZengElsevierEngineering Science and Technology, an International Journal2215-09862023-04-0140101361A hybrid sliding mode control based on a nonlinear PID surface for nonlinear chemical processesMateo Vásquez0Joseline Yanascual1Marco Herrera2Alvaro Prado3Oscar Camacho4Departamento de Automatización y Control Industrial, Escuela Politécnica Nacional, Quito 170525, EcuadorDepartamento de Automatización y Control Industrial, Escuela Politécnica Nacional, Quito 170525, EcuadorColegio de Ciencias e Ingenierías “El Politécnico”, Universidad San Francisco de Quito USFQ, Quito 170157, EcuadorDepartamento de Ingeniería de Sistemas y Computación (DISC), Universidad Católica del Norte (UCN), Antofagasta 1270709, ChileColegio de Ciencias e Ingenierías “El Politécnico”, Universidad San Francisco de Quito USFQ, Quito 170157, Ecuador; Corresponding author.This work formulated and synthesized a hybrid control framework based on sliding mode control and internal model concepts. The resulting design conducts a Dynamic Sliding Mode Control (DSMC) approach based on a Nonlinear PID (NPID) sliding surface. The design procedure first uses the reaction curve identification method to obtain a reduced-order model from the nonlinear system. A First-Order Plus Dead-Time (FOPDT) model represents the reduced order model. The resulting controller is derived from the reduced-order model and the nonlinear surface. Therefore, a hybrid control framework (DSMC-NPID) is obtained and then applied to a couple of nonlinear chemical processes, a Variable Height Mixing Tank (VHMT), and a Continuous Stirred Tank Reactor (CSTR) in both cases to track reference trajectories and reject disturbances. Then, the proposed control approach is assessed and compared to a PID controller and a DSMC with a linear PID surface. Such evaluation is carried out using control performance indices such as Integral Square Error (ISE), Maximum Overshoot (MO), control total variation (TVu), and Settling Time (ST), respectively. Finally, the results of experimental trials were quantitatively compared to each controller, demonstrating that the DSMC-NPID approach could reduce the ISE by around 6.3%, MO by 89.3%, and ST by 17.6% regarding DSMC-PID. In addition, the results obtained for the CSTR system were similar, demonstrating that the proposed control strategy is suitable for different industrial processes.http://www.sciencedirect.com/science/article/pii/S2215098623000381Dynamic sliding mode controlNonlinear PIDNonlinear systemsChemical process
spellingShingle Mateo Vásquez
Joseline Yanascual
Marco Herrera
Alvaro Prado
Oscar Camacho
A hybrid sliding mode control based on a nonlinear PID surface for nonlinear chemical processes
Engineering Science and Technology, an International Journal
Dynamic sliding mode control
Nonlinear PID
Nonlinear systems
Chemical process
title A hybrid sliding mode control based on a nonlinear PID surface for nonlinear chemical processes
title_full A hybrid sliding mode control based on a nonlinear PID surface for nonlinear chemical processes
title_fullStr A hybrid sliding mode control based on a nonlinear PID surface for nonlinear chemical processes
title_full_unstemmed A hybrid sliding mode control based on a nonlinear PID surface for nonlinear chemical processes
title_short A hybrid sliding mode control based on a nonlinear PID surface for nonlinear chemical processes
title_sort hybrid sliding mode control based on a nonlinear pid surface for nonlinear chemical processes
topic Dynamic sliding mode control
Nonlinear PID
Nonlinear systems
Chemical process
url http://www.sciencedirect.com/science/article/pii/S2215098623000381
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