RESEARCH ON ROBUST VIBRATION CONTROL OF PLANE SINGLE ARM FLEXIBLE BEAM BASED ON μ SYNTHESIS
Aiming at the problem of trajectory tracking and end elastic vibration of plane single arm flexible beam, a method based on μ synthesis control method was used to suppress the vibration. Firstly, by hypothetical modal method described elastic deformation, and using Lagrange equation established the...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2024-02-01
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| Series: | Jixie qiangdu |
| Subjects: | |
| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.01.004 |
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| _version_ | 1841534153772761088 |
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| author | GONG ChiKun WEI BingSheng YUAN LiPeng |
| author_facet | GONG ChiKun WEI BingSheng YUAN LiPeng |
| author_sort | GONG ChiKun |
| collection | DOAJ |
| description | Aiming at the problem of trajectory tracking and end elastic vibration of plane single arm flexible beam, a method based on μ synthesis control method was used to suppress the vibration. Firstly, by hypothetical modal method described elastic deformation, and using Lagrange equation established the dynamic model. Secondly, considering the parameter uncertainty andmodeling perturbation of load mass and structural damping, by using linear fractional transformation and weighting function established mixed uncertainty model. By introducing ideal model to improve the standard control structure of μ synthesis, which improved system convergence and closed-loop system performance. Based on μ synthesis control method , the robust controller of the system was designed. The simulation results show that the upper and lower bounds of the structural singular value of the controller are less than 1, indicating that the system has good robust stability and robust performance. Through the comparative analysis with PD controller, it shows that in the presence of uncertainty and interference, the proposed control strategy can track the trajectory with higher accuracy and attenuate the end vibration more effectively, which verifies the effectiveness of the control strategy. |
| format | Article |
| id | doaj-art-2dd402a330d94b3383ec65e1e86e9cc7 |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2024-02-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-2dd402a330d94b3383ec65e1e86e9cc72025-01-15T02:44:40ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692024-02-0146243155273114RESEARCH ON ROBUST VIBRATION CONTROL OF PLANE SINGLE ARM FLEXIBLE BEAM BASED ON μ SYNTHESISGONG ChiKunWEI BingShengYUAN LiPengAiming at the problem of trajectory tracking and end elastic vibration of plane single arm flexible beam, a method based on μ synthesis control method was used to suppress the vibration. Firstly, by hypothetical modal method described elastic deformation, and using Lagrange equation established the dynamic model. Secondly, considering the parameter uncertainty andmodeling perturbation of load mass and structural damping, by using linear fractional transformation and weighting function established mixed uncertainty model. By introducing ideal model to improve the standard control structure of μ synthesis, which improved system convergence and closed-loop system performance. Based on μ synthesis control method , the robust controller of the system was designed. The simulation results show that the upper and lower bounds of the structural singular value of the controller are less than 1, indicating that the system has good robust stability and robust performance. Through the comparative analysis with PD controller, it shows that in the presence of uncertainty and interference, the proposed control strategy can track the trajectory with higher accuracy and attenuate the end vibration more effectively, which verifies the effectiveness of the control strategy.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.01.004Plane single arm flexible beamElastic vibrationMixed uncertaintyμ synthesisStructural singular |
| spellingShingle | GONG ChiKun WEI BingSheng YUAN LiPeng RESEARCH ON ROBUST VIBRATION CONTROL OF PLANE SINGLE ARM FLEXIBLE BEAM BASED ON μ SYNTHESIS Jixie qiangdu Plane single arm flexible beam Elastic vibration Mixed uncertainty μ synthesis Structural singular |
| title | RESEARCH ON ROBUST VIBRATION CONTROL OF PLANE SINGLE ARM FLEXIBLE BEAM BASED ON μ SYNTHESIS |
| title_full | RESEARCH ON ROBUST VIBRATION CONTROL OF PLANE SINGLE ARM FLEXIBLE BEAM BASED ON μ SYNTHESIS |
| title_fullStr | RESEARCH ON ROBUST VIBRATION CONTROL OF PLANE SINGLE ARM FLEXIBLE BEAM BASED ON μ SYNTHESIS |
| title_full_unstemmed | RESEARCH ON ROBUST VIBRATION CONTROL OF PLANE SINGLE ARM FLEXIBLE BEAM BASED ON μ SYNTHESIS |
| title_short | RESEARCH ON ROBUST VIBRATION CONTROL OF PLANE SINGLE ARM FLEXIBLE BEAM BASED ON μ SYNTHESIS |
| title_sort | research on robust vibration control of plane single arm flexible beam based on μ synthesis |
| topic | Plane single arm flexible beam Elastic vibration Mixed uncertainty μ synthesis Structural singular |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.01.004 |
| work_keys_str_mv | AT gongchikun researchonrobustvibrationcontrolofplanesinglearmflexiblebeambasedonmsynthesis AT weibingsheng researchonrobustvibrationcontrolofplanesinglearmflexiblebeambasedonmsynthesis AT yuanlipeng researchonrobustvibrationcontrolofplanesinglearmflexiblebeambasedonmsynthesis |