A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay
In this paper, a practical PI-PD controller parameter tuning method is proposed, which uses the incenter of the triangle and the Fermat point of the convex polygon to optimize the PI-PD controller. Combined with the stability boundary locus method, the PI-PD controller parameters that can ensure sta...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/3253497 |
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| _version_ | 1849473284159045632 |
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| author | Min Zheng Tao Huang Guangfeng Zhang |
| author_facet | Min Zheng Tao Huang Guangfeng Zhang |
| author_sort | Min Zheng |
| collection | DOAJ |
| description | In this paper, a practical PI-PD controller parameter tuning method is proposed, which uses the incenter of the triangle and the Fermat point of the convex polygon to optimize the PI-PD controller. Combined with the stability boundary locus method, the PI-PD controller parameters that can ensure stability for the unstable fractional-order system with time delay are obtained. Firstly, the parameters of the inner-loop PD controller are determined by the centre coordinates of the CSR in the kd−kf plane. Secondly, a new graphical method is used to calculate the parameters of the PI controller, in which Fermat points in the CSR of (kp−ki) plane are selected. Furthermore, the method is extended to uncertain systems, and the PI-PD controller parameters are obtained by using the proposed method through common stable region of all stable regions. The proposed graphical method not only ensures the stability of the closed-loop system but also avoids the complicated optimization calculations. The superior control performance of this method is illustrated by simulation. |
| format | Article |
| id | doaj-art-d3a5aa22d0fb494ea64d27aa8c2c7443 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-d3a5aa22d0fb494ea64d27aa8c2c74432025-08-20T03:24:12ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/32534973253497A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time DelayMin Zheng0Tao Huang1Guangfeng Zhang2School of Mechatronic Engineering and Automation, Shanghai University, Shanghai Key Laboratory of Power Station Automation Technology, 200072 Shanghai, ChinaSchool of Mechatronic Engineering and Automation, Shanghai University, 200072 Shanghai, ChinaSchool of Mechatronic Engineering and Automation, Shanghai University, 200072 Shanghai, ChinaIn this paper, a practical PI-PD controller parameter tuning method is proposed, which uses the incenter of the triangle and the Fermat point of the convex polygon to optimize the PI-PD controller. Combined with the stability boundary locus method, the PI-PD controller parameters that can ensure stability for the unstable fractional-order system with time delay are obtained. Firstly, the parameters of the inner-loop PD controller are determined by the centre coordinates of the CSR in the kd−kf plane. Secondly, a new graphical method is used to calculate the parameters of the PI controller, in which Fermat points in the CSR of (kp−ki) plane are selected. Furthermore, the method is extended to uncertain systems, and the PI-PD controller parameters are obtained by using the proposed method through common stable region of all stable regions. The proposed graphical method not only ensures the stability of the closed-loop system but also avoids the complicated optimization calculations. The superior control performance of this method is illustrated by simulation.http://dx.doi.org/10.1155/2019/3253497 |
| spellingShingle | Min Zheng Tao Huang Guangfeng Zhang A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay Complexity |
| title | A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay |
| title_full | A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay |
| title_fullStr | A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay |
| title_full_unstemmed | A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay |
| title_short | A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay |
| title_sort | new design method for pi pd control of unstable fractional order system with time delay |
| url | http://dx.doi.org/10.1155/2019/3253497 |
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