Calculation of Stability Domains for Process Control Systems with PI Controllers, Based on the Hurwitz Criterion
<p id="p1">The chapter falls within the broad context of the study of the stability of continuous-time linear control systems and the design of related PI controllers. The study presents a synthesis of the stability domains of PI controller parameters in the case of second- and third-order process c...
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| Formato: | Capítulo de libro |
| Lenguaje: | inglés |
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IntechOpen
2025
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| Acceso en línea: | https://www.intechopen.com/chapters/1237180 |
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| _version_ | 1879164886090514432 |
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| author | Volosencu, Constantin |
| author_browse | Volosencu, Constantin |
| author_facet | Volosencu, Constantin |
| author_sort | Volosencu, Constantin |
| building | IntechOpen |
| collection | Acceso abierto |
| description | <p id="p1">The chapter falls within the broad context of the study of the stability of continuous-time linear control systems and the design of related PI controllers. The study presents a synthesis of the stability domains of PI controller parameters in the case of second- and third-order process control systems and analyzes the specific choice of these parameters. In determining the stability domains, the Hurwitz stability criterion is used. The paper has a didactic, illustrative character, presenting the domains of stability analytically and graphically, with case studies, simulations and examples. Several values are taken for the controller parameters, from the determined domains, and the frequency characteristics of the open-loop system and the unitary step signal responses of the closed loop are determined, which test the calculated stability domain.</p> |
| doi_str_mv | 10.5772/intechopen.1013835 |
| first_indexed | 2026-10-15T21:41:27Z |
| format | Book Chapter |
| fullrecord | <oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><identifier>intech-1237180</identifier><datestamp>2025-12-10</datestamp>
<dc:title>Calculation of Stability Domains for Process Control Systems with PI Controllers, Based on the Hurwitz Criterion</dc:title>
<dc:creator>Constantin Volosencu</dc:creator>
<dc:subject>Physical Sciences, Engineering and Technology</dc:subject>
<dc:description><p id="p1">The chapter falls within the broad context of the study of the stability of continuous-time linear control systems and the design of related PI controllers. The study presents a synthesis of the stability domains of PI controller parameters in the case of second- and third-order process control systems and analyzes the specific choice of these parameters. In determining the stability domains, the Hurwitz stability criterion is used. The paper has a didactic, illustrative character, presenting the domains of stability analytically and graphically, with case studies, simulations and examples. Several values are taken for the controller parameters, from the determined domains, and the frequency characteristics of the open-loop system and the unitary step signal responses of the closed loop are determined, which test the calculated stability domain.</p></dc:description>
<dc:publisher>IntechOpen</dc:publisher>
<dc:date>2025-12-10</dc:date>
<dc:type>Chapter, Part Of Book</dc:type>
<dc:identifier>https://www.intechopen.com/chapters/1237180</dc:identifier>
<dc:identifier>doi:10.5772/intechopen.1013835</dc:identifier>
<dc:language>en</dc:language>
<dc:relation>ISBN:978-1-83635-454-3</dc:relation>
<dc:rights>https://creativecommons.org/licenses/by/3.0/</dc:rights>
<dc:source>https://www.intechopen.com/books/1004800 ; New Perspectives and Applications of Modern Control Theory in Engineering</dc:source>
</oai_dc:dc> |
| id | intech-1237180 |
| institution | IntechOpen |
| isbn | 978-1-83635-454-3 |
| language | English |
| last_indexed | 2026-10-15T21:41:27Z |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | IntechOpen |
| publisherStr | IntechOpen |
| record_format | oai_dc |
| spelling | intech-12371802025-12-10 Calculation of Stability Domains for Process Control Systems with PI Controllers, Based on the Hurwitz Criterion Constantin Volosencu Physical Sciences, Engineering and Technology <p id="p1">The chapter falls within the broad context of the study of the stability of continuous-time linear control systems and the design of related PI controllers. The study presents a synthesis of the stability domains of PI controller parameters in the case of second- and third-order process control systems and analyzes the specific choice of these parameters. In determining the stability domains, the Hurwitz stability criterion is used. The paper has a didactic, illustrative character, presenting the domains of stability analytically and graphically, with case studies, simulations and examples. Several values are taken for the controller parameters, from the determined domains, and the frequency characteristics of the open-loop system and the unitary step signal responses of the closed loop are determined, which test the calculated stability domain.</p> IntechOpen 2025-12-10 Chapter, Part Of Book https://www.intechopen.com/chapters/1237180 doi:10.5772/intechopen.1013835 en ISBN:978-1-83635-454-3 https://creativecommons.org/licenses/by/3.0/ https://www.intechopen.com/books/1004800 ; New Perspectives and Applications of Modern Control Theory in Engineering |
| spellingShingle | Physical Sciences, Engineering and Technology Volosencu, Constantin Calculation of Stability Domains for Process Control Systems with PI Controllers, Based on the Hurwitz Criterion |
| title | Calculation of Stability Domains for Process Control Systems with PI Controllers, Based on the Hurwitz Criterion |
| title_full | Calculation of Stability Domains for Process Control Systems with PI Controllers, Based on the Hurwitz Criterion |
| title_fullStr | Calculation of Stability Domains for Process Control Systems with PI Controllers, Based on the Hurwitz Criterion |
| title_full_unstemmed | Calculation of Stability Domains for Process Control Systems with PI Controllers, Based on the Hurwitz Criterion |
| title_short | Calculation of Stability Domains for Process Control Systems with PI Controllers, Based on the Hurwitz Criterion |
| title_sort | calculation of stability domains for process control systems with pi controllers based on the hurwitz criterion |
| topic | Physical Sciences, Engineering and Technology |
| url | https://www.intechopen.com/chapters/1237180 |
| work_keys_str_mv | AT volosencuconstantin calculationofstabilitydomainsforprocesscontrolsystemswithpicontrollersbasedonthehurwitzcriterion |