A New Analytic Method to Tune a Fractional Order PID Controller
This paper proposes a new method to tune a fractional order PID controller. This method utilizes both the analytic and numeric approach to determine the controller parameters. The control design specifications that must be achieved by the control system are gain crossover frequency, phase margin, an...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad
2017-12-01
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| Series: | Journal of Engineering |
| Online Access: | https://www.jcoeng.edu.iq/index.php/main/article/view/385/335 |
| _version_ | 1797707496639430656 |
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| author | Omar Waleed Abdulwahhab Nizar Hadi Abbas |
| author_facet | Omar Waleed Abdulwahhab Nizar Hadi Abbas |
| author_sort | Omar Waleed Abdulwahhab |
| collection | DOAJ |
| description | This paper proposes a new method to tune a fractional order PID controller. This method utilizes both the analytic and numeric approach to determine the controller parameters. The control design specifications that must be achieved by the control system are gain crossover frequency, phase margin, and peak magnitude at the resonant frequency, where the latter is a new design specification suggested by this paper. These specifications results in three equations in five unknown variables. Assuming that certain relations exist between two variables and discretizing one of them, a performance index can be evaluated and the optimal controller parameters that minimize this performance index are selected. As a case study, a third order linear time invariant system is taken as a process to be controlled and the proposed method is applied to design the controller. The resultant control system exactly fulfills the control design specification, a feature that is laked in numerical design methods. Through matlab simulation, the step response of the closed loop system with the proposed controller and a conventional PID controller demonstrate the performance of the system in terms of time domain transient response specifications (rise time, overshoot, and settling time). |
| first_indexed | 2024-03-12T06:07:14Z |
| format | Article |
| id | doaj.art-f2b80978d01a4d898607071aac4bca82 |
| institution | Directory Open Access Journal |
| issn | 1726-4073 2520-3339 |
| language | English |
| last_indexed | 2024-03-12T06:07:14Z |
| publishDate | 2017-12-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj.art-f2b80978d01a4d898607071aac4bca822023-09-03T03:31:17ZengUniversity of BaghdadJournal of Engineering1726-40732520-33392017-12-012312112A New Analytic Method to Tune a Fractional Order PID ControllerOmar Waleed Abdulwahhab0Nizar Hadi Abbas1College of Engineering-University of Baghdad College of Engineering-University of BaghdadThis paper proposes a new method to tune a fractional order PID controller. This method utilizes both the analytic and numeric approach to determine the controller parameters. The control design specifications that must be achieved by the control system are gain crossover frequency, phase margin, and peak magnitude at the resonant frequency, where the latter is a new design specification suggested by this paper. These specifications results in three equations in five unknown variables. Assuming that certain relations exist between two variables and discretizing one of them, a performance index can be evaluated and the optimal controller parameters that minimize this performance index are selected. As a case study, a third order linear time invariant system is taken as a process to be controlled and the proposed method is applied to design the controller. The resultant control system exactly fulfills the control design specification, a feature that is laked in numerical design methods. Through matlab simulation, the step response of the closed loop system with the proposed controller and a conventional PID controller demonstrate the performance of the system in terms of time domain transient response specifications (rise time, overshoot, and settling time).https://www.jcoeng.edu.iq/index.php/main/article/view/385/335 |
| spellingShingle | Omar Waleed Abdulwahhab Nizar Hadi Abbas A New Analytic Method to Tune a Fractional Order PID Controller Journal of Engineering |
| title | A New Analytic Method to Tune a Fractional Order PID Controller |
| title_full | A New Analytic Method to Tune a Fractional Order PID Controller |
| title_fullStr | A New Analytic Method to Tune a Fractional Order PID Controller |
| title_full_unstemmed | A New Analytic Method to Tune a Fractional Order PID Controller |
| title_short | A New Analytic Method to Tune a Fractional Order PID Controller |
| title_sort | new analytic method to tune a fractional order pid controller |
| url | https://www.jcoeng.edu.iq/index.php/main/article/view/385/335 |
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