UM Shaper Command Inputs for CRONE Control: Application on a DC Motor Bench
This study proposes an approach to synthesize a three-impulse sequence input shaper with a negative impulse, known as Unity Magnitude (UM) shaper. The corresponding analytic model has been already achieved for undamped and low-damped systems. In this paper, the analytic design of UM shaper is demons...
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| Veröffentlicht in: | Mathematical problems in engineering 2021, Vol.2021, p.1-11 |
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| creator | Jallouli Khlif, Rim Abid, Ahmed Melchior, Pierre Derbel, Nabil |
| description | This study proposes an approach to synthesize a three-impulse sequence input shaper with a negative impulse, known as Unity Magnitude (UM) shaper. The corresponding analytic model has been already achieved for undamped and low-damped systems. In this paper, the analytic design of UM shaper is demonstrated for the generalized case of damped systems for both types: integer and fractional orders. Hence, the UM shaper model has been designed for second-order systems with damped dynamics, associating a graphical fitting and an analytical procedure; then, it has been extended to explicit fractional derivative systems. Moreover, the feasibility and the effectiveness of the proposed on-off profile prefilter applied on a second-generation controller have been substantiated by experimental results on an instrumented DC motor bench. |
| doi_str_mv | 10.1155/2021/9935875 |
| format | Article |
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The corresponding analytic model has been already achieved for undamped and low-damped systems. In this paper, the analytic design of UM shaper is demonstrated for the generalized case of damped systems for both types: integer and fractional orders. Hence, the UM shaper model has been designed for second-order systems with damped dynamics, associating a graphical fitting and an analytical procedure; then, it has been extended to explicit fractional derivative systems. Moreover, the feasibility and the effectiveness of the proposed on-off profile prefilter applied on a second-generation controller have been substantiated by experimental results on an instrumented DC motor bench.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2021/9935875</identifier><language>eng</language><publisher>New York: Hindawi</publisher><subject>Control theory ; Controllers ; D C motors ; Electric motors ; Mathematical analysis ; Mathematical models ; Robust control ; System effectiveness ; Vibration</subject><ispartof>Mathematical problems in engineering, 2021, Vol.2021, p.1-11</ispartof><rights>Copyright © 2021 Rim Jallouli Khlif et al.</rights><rights>Copyright © 2021 Rim Jallouli Khlif et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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| subjects | Control theory Controllers D C motors Electric motors Mathematical analysis Mathematical models Robust control System effectiveness Vibration |
| title | UM Shaper Command Inputs for CRONE Control: Application on a DC Motor Bench |
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