Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback Controller
This paper presents various experimental verifications for the theoretical analysis results of vibration suppression to a smart flexible beam bonded with a piezoelectric actuator by a velocity feedback controller and an extended state observer (ESO). During the state feedback control (SFC) design pr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/172570 |
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| _version_ | 1849401863847280640 |
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| author | Ting Zhang Hong Guang Li Guo Ping Cai Fu Cai Li |
| author_facet | Ting Zhang Hong Guang Li Guo Ping Cai Fu Cai Li |
| author_sort | Ting Zhang |
| collection | DOAJ |
| description | This paper presents various experimental verifications for the theoretical analysis results of vibration suppression to a smart flexible beam bonded with a piezoelectric actuator by a velocity feedback controller and an extended state observer (ESO). During the state feedback control (SFC) design process for the smart flexible beam with the pole placement theory, in the state feedback gain matrix, the velocity feedback gain is much more than the displacement feedback gain. For the difference between the velocity feedback gain and the displacement feedback gain, a modified velocity feedback controller is applied based on a dynamical model with the Hamilton principle to the smart beam. In addition, the feedback velocity is attained with the extended state observer and the displacement is acquired by the foil gauge on the root of the smart flexible beam. The control voltage is calculated by the designed velocity feedback gain multiplied by the feedback velocity. Through some experiment verifications for simulation results, it is indicated that the suppressed amplitude of free vibration is up to 62.13% while the attenuated magnitude of its velocity is up to 61.31%. Therefore, it is demonstrated that the modified velocity feedback control with the extended state observer is feasible to reduce free vibration. |
| format | Article |
| id | doaj-art-8c2bfc4bd4f84eb6868dbb26132d7d79 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-8c2bfc4bd4f84eb6868dbb26132d7d792025-08-20T03:37:41ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/172570172570Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback ControllerTing Zhang0Hong Guang Li1Guo Ping Cai2Fu Cai Li3The State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, ChinaThe State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200240, ChinaThe State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, ChinaThis paper presents various experimental verifications for the theoretical analysis results of vibration suppression to a smart flexible beam bonded with a piezoelectric actuator by a velocity feedback controller and an extended state observer (ESO). During the state feedback control (SFC) design process for the smart flexible beam with the pole placement theory, in the state feedback gain matrix, the velocity feedback gain is much more than the displacement feedback gain. For the difference between the velocity feedback gain and the displacement feedback gain, a modified velocity feedback controller is applied based on a dynamical model with the Hamilton principle to the smart beam. In addition, the feedback velocity is attained with the extended state observer and the displacement is acquired by the foil gauge on the root of the smart flexible beam. The control voltage is calculated by the designed velocity feedback gain multiplied by the feedback velocity. Through some experiment verifications for simulation results, it is indicated that the suppressed amplitude of free vibration is up to 62.13% while the attenuated magnitude of its velocity is up to 61.31%. Therefore, it is demonstrated that the modified velocity feedback control with the extended state observer is feasible to reduce free vibration.http://dx.doi.org/10.1155/2014/172570 |
| spellingShingle | Ting Zhang Hong Guang Li Guo Ping Cai Fu Cai Li Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback Controller Shock and Vibration |
| title | Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback Controller |
| title_full | Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback Controller |
| title_fullStr | Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback Controller |
| title_full_unstemmed | Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback Controller |
| title_short | Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback Controller |
| title_sort | experimental verifications of vibration suppression for a smart cantilever beam with a modified velocity feedback controller |
| url | http://dx.doi.org/10.1155/2014/172570 |
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