Performance analysis of active dynamic vibration absorber controlled by homogeneous control Lyapunov functions
Active dynamic vibration absorbers are widely known as vibration control device exhibiting good performance for disturbance signal with various frequencies. Linear quadratic (LQ) control is often used in active dynamic vibration absorbers. We show that nonlinear control laws provide vibration contro...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | Japanese |
| Published: |
The Japan Society of Mechanical Engineers
2015-11-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/81/832/81_15-00373/_pdf/-char/en |
| _version_ | 1797988640048021504 |
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| author | Yûki NISHIMURA Yuji ISHIMARU Eiji KONDO Mitsuhiro NAKAO |
| author_facet | Yûki NISHIMURA Yuji ISHIMARU Eiji KONDO Mitsuhiro NAKAO |
| author_sort | Yûki NISHIMURA |
| collection | DOAJ |
| description | Active dynamic vibration absorbers are widely known as vibration control device exhibiting good performance for disturbance signal with various frequencies. Linear quadratic (LQ) control is often used in active dynamic vibration absorbers. We show that nonlinear control laws provide vibration control performance higher than the LQ controller by designing homogeneous control Lyapunov function (CLF) controllers guaranteed convergence rates and high robustness. In this paper, we design homogeneous exponential stabilization controllers based on Riccati solutions of LQ controllers and finite-time stabilization controllers for vibration control device using fixed surface and confirm that designing convergence rates are quite effective for vibration control performance. Moreover, the effectiveness of our controllers is verified by the analysis of transient and steady-state frequency responses for hybrid dynamic vibration absorbers with numerical simulation. |
| first_indexed | 2024-04-11T08:07:26Z |
| format | Article |
| id | doaj.art-d1c40b1e31c14926a731b748862e913b |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-11T08:07:26Z |
| publishDate | 2015-11-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-d1c40b1e31c14926a731b748862e913b2022-12-22T04:35:29ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612015-11-018183215-0037315-0037310.1299/transjsme.15-00373transjsmePerformance analysis of active dynamic vibration absorber controlled by homogeneous control Lyapunov functionsYûki NISHIMURA0Yuji ISHIMARU1Eiji KONDO2Mitsuhiro NAKAO3Research Field in Engineering, Science and Engineering Area, Research and Education Assembly, Kagoshima UniversityDepartment of Mechanical Engineering, Kagoshima UniversityResearch Field in Engineering, Science and Engineering Area, Research and Education Assembly, Kagoshima UniversityResearch Field in Engineering, Science and Engineering Area, Research and Education Assembly, Kagoshima UniversityActive dynamic vibration absorbers are widely known as vibration control device exhibiting good performance for disturbance signal with various frequencies. Linear quadratic (LQ) control is often used in active dynamic vibration absorbers. We show that nonlinear control laws provide vibration control performance higher than the LQ controller by designing homogeneous control Lyapunov function (CLF) controllers guaranteed convergence rates and high robustness. In this paper, we design homogeneous exponential stabilization controllers based on Riccati solutions of LQ controllers and finite-time stabilization controllers for vibration control device using fixed surface and confirm that designing convergence rates are quite effective for vibration control performance. Moreover, the effectiveness of our controllers is verified by the analysis of transient and steady-state frequency responses for hybrid dynamic vibration absorbers with numerical simulation.https://www.jstage.jst.go.jp/article/transjsme/81/832/81_15-00373/_pdf/-char/enactive dynamic vibration absorbersnonlinear controlclf control lawslq cotnrolsector margin |
| spellingShingle | Yûki NISHIMURA Yuji ISHIMARU Eiji KONDO Mitsuhiro NAKAO Performance analysis of active dynamic vibration absorber controlled by homogeneous control Lyapunov functions Nihon Kikai Gakkai ronbunshu active dynamic vibration absorbers nonlinear control clf control laws lq cotnrol sector margin |
| title | Performance analysis of active dynamic vibration absorber controlled by homogeneous control Lyapunov functions |
| title_full | Performance analysis of active dynamic vibration absorber controlled by homogeneous control Lyapunov functions |
| title_fullStr | Performance analysis of active dynamic vibration absorber controlled by homogeneous control Lyapunov functions |
| title_full_unstemmed | Performance analysis of active dynamic vibration absorber controlled by homogeneous control Lyapunov functions |
| title_short | Performance analysis of active dynamic vibration absorber controlled by homogeneous control Lyapunov functions |
| title_sort | performance analysis of active dynamic vibration absorber controlled by homogeneous control lyapunov functions |
| topic | active dynamic vibration absorbers nonlinear control clf control laws lq cotnrol sector margin |
| url | https://www.jstage.jst.go.jp/article/transjsme/81/832/81_15-00373/_pdf/-char/en |
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