Passivity-based boundary control with the backstepping observer for the vibration suppression of the flexible beam
In engineering applications, flexible beam vibration control is an important issue. Although several researchers have discussed controlling beam vibration, there are few strategies for implementing it in actual applications. The passivity-based boundary control for suppressing flexible beam vibratio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-01-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844022040282 |
| _version_ | 1811173382282018816 |
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| author | Nipon Boonkumkrong Sinchai Chinvorarat Pichai Asadamongkon |
| author_facet | Nipon Boonkumkrong Sinchai Chinvorarat Pichai Asadamongkon |
| author_sort | Nipon Boonkumkrong |
| collection | DOAJ |
| description | In engineering applications, flexible beam vibration control is an important issue. Although several researchers have discussed controlling beam vibration, there are few strategies for implementing it in actual applications. The passivity-based boundary control for suppressing flexible beam vibration was investigated in this paper. The controller was implemented using a moving base, and the beam model was an undamped shear beam. The control law was established using the storage function in the design technique. The finite-gain L2 - stability of the feedback control system was then proven. This method dealt directly with the PDE of the beam model with no model reduction. Because of the non-collocated measurement and actuation in many applications, the backstepping observer was required for state estimation. Since the controller was implemented at the end of the beam via a moving base, the beam domain remained intact. Therefore, the method is simple to apply in applications. With the use of the finite-difference approach, the PDEs were numerically solved. The controller's performance of the proposed control scheme was demonstrated using computer simulation. |
| first_indexed | 2024-04-10T17:46:58Z |
| format | Article |
| id | doaj.art-e61f6f6b01704bb0b50e9e3153a83964 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-04-10T17:46:58Z |
| publishDate | 2023-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-e61f6f6b01704bb0b50e9e3153a839642023-02-03T04:58:50ZengElsevierHeliyon2405-84402023-01-0191e12740Passivity-based boundary control with the backstepping observer for the vibration suppression of the flexible beamNipon Boonkumkrong0Sinchai Chinvorarat1Pichai Asadamongkon2Department of Mechanical Engineering, Faculty of Engineering, Srinakharinwirot University, Nakornnayok, 26120, Thailand; Corresponding author.Department of Mechanical and Aerospace Engineering, Faculty of Engineering, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, ThailandDepartment of Mechanical Engineering, Faculty of Engineering, Srinakharinwirot University, Nakornnayok, 26120, ThailandIn engineering applications, flexible beam vibration control is an important issue. Although several researchers have discussed controlling beam vibration, there are few strategies for implementing it in actual applications. The passivity-based boundary control for suppressing flexible beam vibration was investigated in this paper. The controller was implemented using a moving base, and the beam model was an undamped shear beam. The control law was established using the storage function in the design technique. The finite-gain L2 - stability of the feedback control system was then proven. This method dealt directly with the PDE of the beam model with no model reduction. Because of the non-collocated measurement and actuation in many applications, the backstepping observer was required for state estimation. Since the controller was implemented at the end of the beam via a moving base, the beam domain remained intact. Therefore, the method is simple to apply in applications. With the use of the finite-difference approach, the PDEs were numerically solved. The controller's performance of the proposed control scheme was demonstrated using computer simulation.http://www.sciencedirect.com/science/article/pii/S2405844022040282Passivity-based boundary controlShear beamStorage functionBackstepping observerVibration suppressionPartial differential equation |
| spellingShingle | Nipon Boonkumkrong Sinchai Chinvorarat Pichai Asadamongkon Passivity-based boundary control with the backstepping observer for the vibration suppression of the flexible beam Heliyon Passivity-based boundary control Shear beam Storage function Backstepping observer Vibration suppression Partial differential equation |
| title | Passivity-based boundary control with the backstepping observer for the vibration suppression of the flexible beam |
| title_full | Passivity-based boundary control with the backstepping observer for the vibration suppression of the flexible beam |
| title_fullStr | Passivity-based boundary control with the backstepping observer for the vibration suppression of the flexible beam |
| title_full_unstemmed | Passivity-based boundary control with the backstepping observer for the vibration suppression of the flexible beam |
| title_short | Passivity-based boundary control with the backstepping observer for the vibration suppression of the flexible beam |
| title_sort | passivity based boundary control with the backstepping observer for the vibration suppression of the flexible beam |
| topic | Passivity-based boundary control Shear beam Storage function Backstepping observer Vibration suppression Partial differential equation |
| url | http://www.sciencedirect.com/science/article/pii/S2405844022040282 |
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