Two-Degree-of-Freedom Control Scheme for Robust Centralized PI/PID Controller Design Using Constrained Optimization

For a two-input two-output distillation column with heavy interactions and long dead times, a two-by-two PI/PID controller is designed. The design objectives are good setpoint regulation and appropriate load disturbance rejection. The constraints are on degree of robust stability, control effort as...

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Main Authors: Saeed Tavakoli, Amir Afroomand
Format: Article
Language:English
Published: University of Sistan and Baluchestan 2018-06-01
Series:International Journal of Industrial Electronics, Control and Optimization
Subjects:
Online Access:https://ieco.usb.ac.ir/article_3777_df29d9eddcca8b05c3c0bd8d67edb8b4.pdf
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author Saeed Tavakoli
Amir Afroomand
author_facet Saeed Tavakoli
Amir Afroomand
author_sort Saeed Tavakoli
collection DOAJ
description For a two-input two-output distillation column with heavy interactions and long dead times, a two-by-two PI/PID controller is designed. The design objectives are good setpoint regulation and appropriate load disturbance rejection. The constraints are on degree of robust stability, control effort as well as peaks of the maximum singular value of sensitivity and complementary sensitivity matrices. As this set of design objectives and constraints is often conflicting, a more flexible control structure, a two-degree-of-freedom scheme, is proposed. The design problem is formulated as a constrained optimization problem and is solved by a powerful random-search optimization technique, the so-called vector-based swarm optimization. Next, the performance of the proposed method in controlling a Wood and Berry distillation column is evaluated and compared with that of several well-known design techniques. Because of using a flexible control structure, a powerful optimization algorithm and a comprehensive set of design requirements, the proposed control strategy performs well in coping with conflicting design objectives.
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spelling doaj.art-edb5c78785a9453297074d3a109a09aa2022-12-22T02:54:09ZengUniversity of Sistan and BaluchestanInternational Journal of Industrial Electronics, Control and Optimization2645-35172645-35682018-06-01111810.22111/ieco.2018.24006.10073777Two-Degree-of-Freedom Control Scheme for Robust Centralized PI/PID Controller Design Using Constrained OptimizationSaeed Tavakoli0Amir Afroomand1University of Sistan and BaluchestanUniversity of Sistan and BaluchestanFor a two-input two-output distillation column with heavy interactions and long dead times, a two-by-two PI/PID controller is designed. The design objectives are good setpoint regulation and appropriate load disturbance rejection. The constraints are on degree of robust stability, control effort as well as peaks of the maximum singular value of sensitivity and complementary sensitivity matrices. As this set of design objectives and constraints is often conflicting, a more flexible control structure, a two-degree-of-freedom scheme, is proposed. The design problem is formulated as a constrained optimization problem and is solved by a powerful random-search optimization technique, the so-called vector-based swarm optimization. Next, the performance of the proposed method in controlling a Wood and Berry distillation column is evaluated and compared with that of several well-known design techniques. Because of using a flexible control structure, a powerful optimization algorithm and a comprehensive set of design requirements, the proposed control strategy performs well in coping with conflicting design objectives.https://ieco.usb.ac.ir/article_3777_df29d9eddcca8b05c3c0bd8d67edb8b4.pdfload disturbance rejectionrobustnesssetpoint regulationtwo-degree-of-freedom control structurewood and berry distillation column
spellingShingle Saeed Tavakoli
Amir Afroomand
Two-Degree-of-Freedom Control Scheme for Robust Centralized PI/PID Controller Design Using Constrained Optimization
International Journal of Industrial Electronics, Control and Optimization
load disturbance rejection
robustness
setpoint regulation
two-degree-of-freedom control structure
wood and berry distillation column
title Two-Degree-of-Freedom Control Scheme for Robust Centralized PI/PID Controller Design Using Constrained Optimization
title_full Two-Degree-of-Freedom Control Scheme for Robust Centralized PI/PID Controller Design Using Constrained Optimization
title_fullStr Two-Degree-of-Freedom Control Scheme for Robust Centralized PI/PID Controller Design Using Constrained Optimization
title_full_unstemmed Two-Degree-of-Freedom Control Scheme for Robust Centralized PI/PID Controller Design Using Constrained Optimization
title_short Two-Degree-of-Freedom Control Scheme for Robust Centralized PI/PID Controller Design Using Constrained Optimization
title_sort two degree of freedom control scheme for robust centralized pi pid controller design using constrained optimization
topic load disturbance rejection
robustness
setpoint regulation
two-degree-of-freedom control structure
wood and berry distillation column
url https://ieco.usb.ac.ir/article_3777_df29d9eddcca8b05c3c0bd8d67edb8b4.pdf
work_keys_str_mv AT saeedtavakoli twodegreeoffreedomcontrolschemeforrobustcentralizedpipidcontrollerdesignusingconstrainedoptimization
AT amirafroomand twodegreeoffreedomcontrolschemeforrobustcentralizedpipidcontrollerdesignusingconstrainedoptimization