Analytical Design of Fractional-Order PI Controller for Parallel Cascade Control Systems
The fractional-order proportional-integral (FOPI) controller tuning rules based on the fractional calculus for the parallel cascade control systems are systematically proposed in this paper. The modified parallel cascade control structure (PCCS) with the Smith predictor is addressed for stable, unst...
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MDPI AG
2022-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/4/2222 |
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| author | Truong Nguyen Luan Vu Vo Lam Chuong Nguyen Tam Nguyen Truong Jae Hak Jung |
| author_facet | Truong Nguyen Luan Vu Vo Lam Chuong Nguyen Tam Nguyen Truong Jae Hak Jung |
| author_sort | Truong Nguyen Luan Vu |
| collection | DOAJ |
| description | The fractional-order proportional-integral (FOPI) controller tuning rules based on the fractional calculus for the parallel cascade control systems are systematically proposed in this paper. The modified parallel cascade control structure (PCCS) with the Smith predictor is addressed for stable, unstable, and integrating process models with time delays. Normally, the PCCS consists of three controllers, including a stabilized controller, for a class of unstable and integrating models, a disturbance rejection controller in the secondary loop, and a primary servomechanism controller. Accordingly, the ideal controller is obtained by using the internal model control (IMC) approach for the inner loop. The proportional-derivative (PD) controller is suggested for the stabilized controller and is designed based on a stability criterion. Based on the fractional calculus, the analytical tuning rules of the FOPI controller for the outer loop can be established in the frequency domain. The simulation study is considered for three mentioned cases of process models and the results demonstrate the flexibility and effectiveness of the proposed method for the PCCS in comparison with the other methods. The robustness of the proposed method is also justified by perturbed process models with ±20% of process parameters including gain, time constant, and delay time. |
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| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T22:39:45Z |
| publishDate | 2022-02-01 |
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| spelling | doaj.art-7a37939f0f7a4145bf8434522086e6b42023-11-23T18:41:17ZengMDPI AGApplied Sciences2076-34172022-02-01124222210.3390/app12042222Analytical Design of Fractional-Order PI Controller for Parallel Cascade Control SystemsTruong Nguyen Luan Vu0Vo Lam Chuong1Nguyen Tam Nguyen Truong2Jae Hak Jung3Faculty of Mechanical Engineering, Ho Chi Minh City University of Technology and Education, 01 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City 71307, VietnamFaculty of Mechanical Engineering, Ho Chi Minh City University of Technology and Education, 01 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City 71307, VietnamSchool of Chemical Engineering, Yeungnam University, 280 Daehak-Ro, Gyeongsan 38541, KoreaSchool of Chemical Engineering, Yeungnam University, 280 Daehak-Ro, Gyeongsan 38541, KoreaThe fractional-order proportional-integral (FOPI) controller tuning rules based on the fractional calculus for the parallel cascade control systems are systematically proposed in this paper. The modified parallel cascade control structure (PCCS) with the Smith predictor is addressed for stable, unstable, and integrating process models with time delays. Normally, the PCCS consists of three controllers, including a stabilized controller, for a class of unstable and integrating models, a disturbance rejection controller in the secondary loop, and a primary servomechanism controller. Accordingly, the ideal controller is obtained by using the internal model control (IMC) approach for the inner loop. The proportional-derivative (PD) controller is suggested for the stabilized controller and is designed based on a stability criterion. Based on the fractional calculus, the analytical tuning rules of the FOPI controller for the outer loop can be established in the frequency domain. The simulation study is considered for three mentioned cases of process models and the results demonstrate the flexibility and effectiveness of the proposed method for the PCCS in comparison with the other methods. The robustness of the proposed method is also justified by perturbed process models with ±20% of process parameters including gain, time constant, and delay time.https://www.mdpi.com/2076-3417/12/4/2222fractional-order proportional-integral (FOPI) controllerparallel cascade control structureinternal model controlSmith predictor |
| spellingShingle | Truong Nguyen Luan Vu Vo Lam Chuong Nguyen Tam Nguyen Truong Jae Hak Jung Analytical Design of Fractional-Order PI Controller for Parallel Cascade Control Systems Applied Sciences fractional-order proportional-integral (FOPI) controller parallel cascade control structure internal model control Smith predictor |
| title | Analytical Design of Fractional-Order PI Controller for Parallel Cascade Control Systems |
| title_full | Analytical Design of Fractional-Order PI Controller for Parallel Cascade Control Systems |
| title_fullStr | Analytical Design of Fractional-Order PI Controller for Parallel Cascade Control Systems |
| title_full_unstemmed | Analytical Design of Fractional-Order PI Controller for Parallel Cascade Control Systems |
| title_short | Analytical Design of Fractional-Order PI Controller for Parallel Cascade Control Systems |
| title_sort | analytical design of fractional order pi controller for parallel cascade control systems |
| topic | fractional-order proportional-integral (FOPI) controller parallel cascade control structure internal model control Smith predictor |
| url | https://www.mdpi.com/2076-3417/12/4/2222 |
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