Control and Robust Stabilization at Unstable Equilibrium by Fractional Controller for Magnetic Levitation Systems
The problem of control and stabilizing inherently non-linear and unstable magnetic levitation (Maglev) systems with uncertain equilibrium states has been studied. Accordingly, some significant works related to different control approaches have been highlighted to provide robust control and enhance t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/5/3/101 |
| _version_ | 1797519206075334656 |
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| author | Banu Ataşlar-Ayyıldız Oğuzhan Karahan Serhat Yılmaz |
| author_facet | Banu Ataşlar-Ayyıldız Oğuzhan Karahan Serhat Yılmaz |
| author_sort | Banu Ataşlar-Ayyıldız |
| collection | DOAJ |
| description | The problem of control and stabilizing inherently non-linear and unstable magnetic levitation (Maglev) systems with uncertain equilibrium states has been studied. Accordingly, some significant works related to different control approaches have been highlighted to provide robust control and enhance the performance of the Maglev system. This work examines a method to control and stabilize the levitation system in the presence of disturbance and parameter variations to minimize the magnet gap deviation from the equilibrium position. To fulfill the stabilization and disturbance rejection for this non-linear dynamic system, the fractional order PID, fractional order sliding mode, and fractional order Fuzzy control approaches are conducted. In order to design the suitable control outlines based on fractional order controllers, a tuning hybrid method of GWO–PSO algorithms is applied by using the different performance criteria as Integrated Absolute Error (IAE), Integrated Time Weighted Absolute Error (ITAE), Integrated Squared Error (ISE), and Integrated Time Weighted Squared Error (ITSE). In general, these objectives are used by targeting the best tuning of specified control parameters. Finally, the simulation results are presented to determine which fractional controllers demonstrate better control performance, achieve fast and robust stability of the closed-loop system, and provide excellent disturbance suppression effect under nonlinear and uncertainty existing in the processing system. |
| first_indexed | 2024-03-10T07:39:42Z |
| format | Article |
| id | doaj.art-77b95ddaae4f4dabab8c24eb7f4ca916 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T07:39:42Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-77b95ddaae4f4dabab8c24eb7f4ca9162023-11-22T13:09:36ZengMDPI AGFractal and Fractional2504-31102021-08-015310110.3390/fractalfract5030101Control and Robust Stabilization at Unstable Equilibrium by Fractional Controller for Magnetic Levitation SystemsBanu Ataşlar-Ayyıldız0Oğuzhan Karahan1Serhat Yılmaz2Department of Electronics and Communication Engineering, Kocaeli University, Kocaeli 41001, TurkeyDepartment of Electronics and Communication Engineering, Kocaeli University, Kocaeli 41001, TurkeyDepartment of Electronics and Communication Engineering, Kocaeli University, Kocaeli 41001, TurkeyThe problem of control and stabilizing inherently non-linear and unstable magnetic levitation (Maglev) systems with uncertain equilibrium states has been studied. Accordingly, some significant works related to different control approaches have been highlighted to provide robust control and enhance the performance of the Maglev system. This work examines a method to control and stabilize the levitation system in the presence of disturbance and parameter variations to minimize the magnet gap deviation from the equilibrium position. To fulfill the stabilization and disturbance rejection for this non-linear dynamic system, the fractional order PID, fractional order sliding mode, and fractional order Fuzzy control approaches are conducted. In order to design the suitable control outlines based on fractional order controllers, a tuning hybrid method of GWO–PSO algorithms is applied by using the different performance criteria as Integrated Absolute Error (IAE), Integrated Time Weighted Absolute Error (ITAE), Integrated Squared Error (ISE), and Integrated Time Weighted Squared Error (ITSE). In general, these objectives are used by targeting the best tuning of specified control parameters. Finally, the simulation results are presented to determine which fractional controllers demonstrate better control performance, achieve fast and robust stability of the closed-loop system, and provide excellent disturbance suppression effect under nonlinear and uncertainty existing in the processing system.https://www.mdpi.com/2504-3110/5/3/101Maglev systemfractional order PIDfractional order sliding modefractional order fuzzy controlGWO-PSO |
| spellingShingle | Banu Ataşlar-Ayyıldız Oğuzhan Karahan Serhat Yılmaz Control and Robust Stabilization at Unstable Equilibrium by Fractional Controller for Magnetic Levitation Systems Fractal and Fractional Maglev system fractional order PID fractional order sliding mode fractional order fuzzy control GWO-PSO |
| title | Control and Robust Stabilization at Unstable Equilibrium by Fractional Controller for Magnetic Levitation Systems |
| title_full | Control and Robust Stabilization at Unstable Equilibrium by Fractional Controller for Magnetic Levitation Systems |
| title_fullStr | Control and Robust Stabilization at Unstable Equilibrium by Fractional Controller for Magnetic Levitation Systems |
| title_full_unstemmed | Control and Robust Stabilization at Unstable Equilibrium by Fractional Controller for Magnetic Levitation Systems |
| title_short | Control and Robust Stabilization at Unstable Equilibrium by Fractional Controller for Magnetic Levitation Systems |
| title_sort | control and robust stabilization at unstable equilibrium by fractional controller for magnetic levitation systems |
| topic | Maglev system fractional order PID fractional order sliding mode fractional order fuzzy control GWO-PSO |
| url | https://www.mdpi.com/2504-3110/5/3/101 |
| work_keys_str_mv | AT banuataslarayyıldız controlandrobuststabilizationatunstableequilibriumbyfractionalcontrollerformagneticlevitationsystems AT oguzhankarahan controlandrobuststabilizationatunstableequilibriumbyfractionalcontrollerformagneticlevitationsystems AT serhatyılmaz controlandrobuststabilizationatunstableequilibriumbyfractionalcontrollerformagneticlevitationsystems |