Design of delayed PID‐type controllers for high‐order recycling systems with time delays using model reduction.
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| Title: | Design of delayed PID‐type controllers for high‐order recycling systems with time delays using model reduction. |
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| Authors: | Vazquez Guerra, Rocio J.1 (AUTHOR) rjjvg@yahoo.com.mx, Marquez Rubio, Juan F.2 (AUTHOR), del Muro‐Cúellar, Basilio2 (AUTHOR) |
| Source: | Asia-Pacific Journal of Chemical Engineering. Jul2021, Vol. 16 Issue 4, p1-16. 16p. |
| Subjects: | Time management, Manufacturing processes, Closed loop systems, Time delay systems, Transfer functions |
| Abstract: | In even the simplest recycling system with a first‐order plus dead time model for the direct and recycling paths, the characteristic equation for the open‐loop transfer function contains an infinite number of poles. This is due to the presence of time delays in the internal dynamics. The task of designing a controller is therefore challenging from the perspective of control. This paper considers the problem of stabilising a high‐order delayed recycling system (with a possible unstable direct path) through the use of a reduced model in conjunction with a new PID (proportional‐integral‐derivative)‐type delayed controller. We state the condition under which the stability of the closed‐loop system is guaranteed and determine the sets of stabilising control parameters. The performance of our proposed strategy is illustrated using several numerical simulations of industrial processes, including an industrial quench column, two continuous stirred tank reactor systems with recycling and a reactor–separator process. [ABSTRACT FROM AUTHOR] |
| Copyright of Asia-Pacific Journal of Chemical Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Abstract: | In even the simplest recycling system with a first‐order plus dead time model for the direct and recycling paths, the characteristic equation for the open‐loop transfer function contains an infinite number of poles. This is due to the presence of time delays in the internal dynamics. The task of designing a controller is therefore challenging from the perspective of control. This paper considers the problem of stabilising a high‐order delayed recycling system (with a possible unstable direct path) through the use of a reduced model in conjunction with a new PID (proportional‐integral‐derivative)‐type delayed controller. We state the condition under which the stability of the closed‐loop system is guaranteed and determine the sets of stabilising control parameters. The performance of our proposed strategy is illustrated using several numerical simulations of industrial processes, including an industrial quench column, two continuous stirred tank reactor systems with recycling and a reactor–separator process. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 19322135 |
| DOI: | 10.1002/apj.2670 |
