Fractional Critical Damping Theory and Its Application in Active Suspension Control
In this paper, the existence condition of critical damping in 1 DOF systems with fractional damping is presented, and the relationship between critical damping coefficient and the order of the fractional derivative is derived. It shows only when the order of fractional damping and its coefficient me...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2017/2738976 |
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| _version_ | 1850157838405468160 |
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| author | Peng Wang Qingyun Wang Xiaomei Xu Ning Chen |
| author_facet | Peng Wang Qingyun Wang Xiaomei Xu Ning Chen |
| author_sort | Peng Wang |
| collection | DOAJ |
| description | In this paper, the existence condition of critical damping in 1 DOF systems with fractional damping is presented, and the relationship between critical damping coefficient and the order of the fractional derivative is derived. It shows only when the order of fractional damping and its coefficient meet certain conditions, the system is in the critical damping case. Then the vibration characteristics of the systems with different orders located in the critical damping set are discussed. Based on the results, the classical skyhook damping control strategy is extended to the fractional one, where a switching control law is designed to obtain a more ideal control effect. Based on the principle of modal coordinate transformation, a new design method of fractional skyhook damping control for full-car suspension is given. The simulation results show that the proposed control method has a good control effect, even in some special cases, such as roads bumps. |
| format | Article |
| id | doaj-art-6d3f80b59d1d4ecebe53a4384cce7454 |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-6d3f80b59d1d4ecebe53a4384cce74542025-08-20T02:24:03ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/27389762738976Fractional Critical Damping Theory and Its Application in Active Suspension ControlPeng Wang0Qingyun Wang1Xiaomei Xu2Ning Chen3College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, ChinaCollege of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, ChinaCollege of Automobile and Traffic Engineering, Nanjing Forestry University, Nanjing 210037, ChinaCollege of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, ChinaIn this paper, the existence condition of critical damping in 1 DOF systems with fractional damping is presented, and the relationship between critical damping coefficient and the order of the fractional derivative is derived. It shows only when the order of fractional damping and its coefficient meet certain conditions, the system is in the critical damping case. Then the vibration characteristics of the systems with different orders located in the critical damping set are discussed. Based on the results, the classical skyhook damping control strategy is extended to the fractional one, where a switching control law is designed to obtain a more ideal control effect. Based on the principle of modal coordinate transformation, a new design method of fractional skyhook damping control for full-car suspension is given. The simulation results show that the proposed control method has a good control effect, even in some special cases, such as roads bumps.http://dx.doi.org/10.1155/2017/2738976 |
| spellingShingle | Peng Wang Qingyun Wang Xiaomei Xu Ning Chen Fractional Critical Damping Theory and Its Application in Active Suspension Control Shock and Vibration |
| title | Fractional Critical Damping Theory and Its Application in Active Suspension Control |
| title_full | Fractional Critical Damping Theory and Its Application in Active Suspension Control |
| title_fullStr | Fractional Critical Damping Theory and Its Application in Active Suspension Control |
| title_full_unstemmed | Fractional Critical Damping Theory and Its Application in Active Suspension Control |
| title_short | Fractional Critical Damping Theory and Its Application in Active Suspension Control |
| title_sort | fractional critical damping theory and its application in active suspension control |
| url | http://dx.doi.org/10.1155/2017/2738976 |
| work_keys_str_mv | AT pengwang fractionalcriticaldampingtheoryanditsapplicationinactivesuspensioncontrol AT qingyunwang fractionalcriticaldampingtheoryanditsapplicationinactivesuspensioncontrol AT xiaomeixu fractionalcriticaldampingtheoryanditsapplicationinactivesuspensioncontrol AT ningchen fractionalcriticaldampingtheoryanditsapplicationinactivesuspensioncontrol |