Fractional-ordered Adams–Bashforth–Moulton (FABM) method for PIηDλ controllers’ numerical simulations for Direct Current (DC) motors in Electric Vehicles (EVs)
The model for the speed control in the Direct Current (DC) motors by developing different simulating models based upon Proportional Integral Derivative (PID) controllers with fractional-ordered Adams–Bashforth–Moulton (ABM) method has been developed. With the aim of more efficient insights, a genera...
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Elsevier
2024-12-01
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| Series: | Results in Control and Optimization |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720724000961 |
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| author | Aashima Bangia Rashmi Bhardwaj |
| author_facet | Aashima Bangia Rashmi Bhardwaj |
| author_sort | Aashima Bangia |
| collection | DOAJ |
| description | The model for the speed control in the Direct Current (DC) motors by developing different simulating models based upon Proportional Integral Derivative (PID) controllers with fractional-ordered Adams–Bashforth–Moulton (ABM) method has been developed. With the aim of more efficient insights, a general closed loop in PID type controllers have been constructed alongwith their implementation. PID control system consists of rule-set essential to monitor the different parameters of the environment. The control of mechanisms through Fractional-order controls (FOC) in real life applications require techniques that would build controllers; tune parameters for accurate and precise monitoring. It is known that PID controllers are sensitive to uncertainties which arise from imprecise knowledge of the kinematics and dynamics therefore an adaptive fractional PID (AFPID) controller has been proposed to use the robustness of fractional-ordered controller. In previous works, FPID controller parameters are constant during control process but in this study these parameters will be updated online with an adequate adaptation mechanism to have better results. Outcomes found to be consistent between represent a step towards understanding the relation between chaotic phenomena and fractional calculus. It has been observed that the PIηDλ control dynamics can boost the controllers’ performance by increase of tuning knobs. In addition, the initialization and execution time have decreased substantially from 2.64 to 0.87 secs and 0.5 to 0.15 secs. |
| format | Article |
| id | doaj-art-fa9a8631e7c94b90b6bd2e9215c256b7 |
| institution | OA Journals |
| issn | 2666-7207 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
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| series | Results in Control and Optimization |
| spelling | doaj-art-fa9a8631e7c94b90b6bd2e9215c256b72025-08-20T01:58:23ZengElsevierResults in Control and Optimization2666-72072024-12-011710046610.1016/j.rico.2024.100466Fractional-ordered Adams–Bashforth–Moulton (FABM) method for PIηDλ controllers’ numerical simulations for Direct Current (DC) motors in Electric Vehicles (EVs)Aashima Bangia0Rashmi Bhardwaj1Sharda University, Noida, U.P., India; Corresponding author.Non-Linear Dynamics Research Lab, University School of Basic and Applied Science, GGSIPU, Delhi, IndiaThe model for the speed control in the Direct Current (DC) motors by developing different simulating models based upon Proportional Integral Derivative (PID) controllers with fractional-ordered Adams–Bashforth–Moulton (ABM) method has been developed. With the aim of more efficient insights, a general closed loop in PID type controllers have been constructed alongwith their implementation. PID control system consists of rule-set essential to monitor the different parameters of the environment. The control of mechanisms through Fractional-order controls (FOC) in real life applications require techniques that would build controllers; tune parameters for accurate and precise monitoring. It is known that PID controllers are sensitive to uncertainties which arise from imprecise knowledge of the kinematics and dynamics therefore an adaptive fractional PID (AFPID) controller has been proposed to use the robustness of fractional-ordered controller. In previous works, FPID controller parameters are constant during control process but in this study these parameters will be updated online with an adequate adaptation mechanism to have better results. Outcomes found to be consistent between represent a step towards understanding the relation between chaotic phenomena and fractional calculus. It has been observed that the PIηDλ control dynamics can boost the controllers’ performance by increase of tuning knobs. In addition, the initialization and execution time have decreased substantially from 2.64 to 0.87 secs and 0.5 to 0.15 secs.http://www.sciencedirect.com/science/article/pii/S2666720724000961Direct current (DC) motorsProportional Integral Derivative (PID)Fractional order Controllers (FOC)Adaptive Fractional PID (AFPID)Fractional calculusAdams–Bashforth–Moulton (ABM) method |
| spellingShingle | Aashima Bangia Rashmi Bhardwaj Fractional-ordered Adams–Bashforth–Moulton (FABM) method for PIηDλ controllers’ numerical simulations for Direct Current (DC) motors in Electric Vehicles (EVs) Results in Control and Optimization Direct current (DC) motors Proportional Integral Derivative (PID) Fractional order Controllers (FOC) Adaptive Fractional PID (AFPID) Fractional calculus Adams–Bashforth–Moulton (ABM) method |
| title | Fractional-ordered Adams–Bashforth–Moulton (FABM) method for PIηDλ controllers’ numerical simulations for Direct Current (DC) motors in Electric Vehicles (EVs) |
| title_full | Fractional-ordered Adams–Bashforth–Moulton (FABM) method for PIηDλ controllers’ numerical simulations for Direct Current (DC) motors in Electric Vehicles (EVs) |
| title_fullStr | Fractional-ordered Adams–Bashforth–Moulton (FABM) method for PIηDλ controllers’ numerical simulations for Direct Current (DC) motors in Electric Vehicles (EVs) |
| title_full_unstemmed | Fractional-ordered Adams–Bashforth–Moulton (FABM) method for PIηDλ controllers’ numerical simulations for Direct Current (DC) motors in Electric Vehicles (EVs) |
| title_short | Fractional-ordered Adams–Bashforth–Moulton (FABM) method for PIηDλ controllers’ numerical simulations for Direct Current (DC) motors in Electric Vehicles (EVs) |
| title_sort | fractional ordered adams bashforth moulton fabm method for piηdλ controllers numerical simulations for direct current dc motors in electric vehicles evs |
| topic | Direct current (DC) motors Proportional Integral Derivative (PID) Fractional order Controllers (FOC) Adaptive Fractional PID (AFPID) Fractional calculus Adams–Bashforth–Moulton (ABM) method |
| url | http://www.sciencedirect.com/science/article/pii/S2666720724000961 |
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