Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay
The problems of vibration-attenuation controller design for uncertain mechanical systems with time-varying input delay are of concern in this paper. Firstly, based on matrix transformation, the mechanical system is described as a state-space model. Then, in terms of introducing the linear varying pa...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/9686358 |
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| _version_ | 1832567316748959744 |
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| author | Yuanchun Ding Falu Weng Xiaohua Jiang Minkang Tang |
| author_facet | Yuanchun Ding Falu Weng Xiaohua Jiang Minkang Tang |
| author_sort | Yuanchun Ding |
| collection | DOAJ |
| description | The problems of vibration-attenuation controller design for uncertain mechanical systems with time-varying input delay are of concern in this paper. Firstly, based on matrix transformation, the mechanical system is described as a state-space model. Then, in terms of introducing the linear varying parameters, the uncertain system model is established. Secondly, the LMI-based sufficient conditions for the system to be stabilizable are deduced by utilizing the LMI technique. By solving the obtained LMIs, the controllers are achieved for the closed-loop system to be stable with a prescribed level of disturbance attenuation. Finally, numerical examples are given to show the effectiveness of the proposed theorems. |
| format | Article |
| id | doaj-art-784b1263b2534095acb6d19b483c2df5 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-784b1263b2534095acb6d19b483c2df52025-02-03T01:01:51ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/96863589686358Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time DelayYuanchun Ding0Falu Weng1Xiaohua Jiang2Minkang Tang3Jiangxi Key Laboratory of Mining Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, ChinaFaculty of Electrical Engineering and Automation, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, ChinaJiangxi Key Laboratory of Mining Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, ChinaJiangxi Key Laboratory of Mining Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, ChinaThe problems of vibration-attenuation controller design for uncertain mechanical systems with time-varying input delay are of concern in this paper. Firstly, based on matrix transformation, the mechanical system is described as a state-space model. Then, in terms of introducing the linear varying parameters, the uncertain system model is established. Secondly, the LMI-based sufficient conditions for the system to be stabilizable are deduced by utilizing the LMI technique. By solving the obtained LMIs, the controllers are achieved for the closed-loop system to be stable with a prescribed level of disturbance attenuation. Finally, numerical examples are given to show the effectiveness of the proposed theorems.http://dx.doi.org/10.1155/2016/9686358 |
| spellingShingle | Yuanchun Ding Falu Weng Xiaohua Jiang Minkang Tang Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay Shock and Vibration |
| title | Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay |
| title_full | Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay |
| title_fullStr | Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay |
| title_full_unstemmed | Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay |
| title_short | Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay |
| title_sort | vibration attenuation controller design for uncertain mechanical systems with input time delay |
| url | http://dx.doi.org/10.1155/2016/9686358 |
| work_keys_str_mv | AT yuanchunding vibrationattenuationcontrollerdesignforuncertainmechanicalsystemswithinputtimedelay AT faluweng vibrationattenuationcontrollerdesignforuncertainmechanicalsystemswithinputtimedelay AT xiaohuajiang vibrationattenuationcontrollerdesignforuncertainmechanicalsystemswithinputtimedelay AT minkangtang vibrationattenuationcontrollerdesignforuncertainmechanicalsystemswithinputtimedelay |