Nonlinear Control of a Magnetic Levitation System Based on Coordinate Transformations
In this paper, a novel concept of nonlinear controller design is proposed, which is applicable to nonlinear systems subject to external periodic disturbances. At first, by employing a pioneering nonlinear coordinate transformation, a new nonlinear system model with expected dynamic characteristics i...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2019-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8895958/ |
| _version_ | 1818444485430870016 |
|---|---|
| author | Fei Ni Qinghua Zheng Junqi Xu Guobin Lin |
| author_facet | Fei Ni Qinghua Zheng Junqi Xu Guobin Lin |
| author_sort | Fei Ni |
| collection | DOAJ |
| description | In this paper, a novel concept of nonlinear controller design is proposed, which is applicable to nonlinear systems subject to external periodic disturbances. At first, by employing a pioneering nonlinear coordinate transformation, a new nonlinear system model with expected dynamic characteristics is derived. Then, a corresponding linear system is achieved by means of linearization techniques at equilibrium points. Next, based on the results of classical linear control theory, a linear quadratic regulator is applied to the resulted linear system. Finally, the nonlinear controller can be obtained through the inverse nonlinear coordinate transformation of the linear feedback controller. The performance of the proposed method is validated on a magnetic levitation system and is compared with the classical linearization feedback control. Simulation results show that the proposed controller design assures enhanced performance in terms of both system stabilization and disturbance attenuation. |
| first_indexed | 2024-12-14T19:16:41Z |
| format | Article |
| id | doaj.art-0cd311a3ae1549bf8d928d28fff8b77c |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-14T19:16:41Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-0cd311a3ae1549bf8d928d28fff8b77c2022-12-21T22:50:34ZengIEEEIEEE Access2169-35362019-01-01716444416445210.1109/ACCESS.2019.29529008895958Nonlinear Control of a Magnetic Levitation System Based on Coordinate TransformationsFei Ni0https://orcid.org/0000-0002-8735-7488Qinghua Zheng1https://orcid.org/0000-0002-4409-8017Junqi Xu2https://orcid.org/0000-0002-7678-6033Guobin Lin3https://orcid.org/0000-0002-6583-4896Maglev Transportation Engineering Research and Development Center, Tongji University, Shanghai, ChinaMaglev Transportation Engineering Research and Development Center, Tongji University, Shanghai, ChinaMaglev Transportation Engineering Research and Development Center, Tongji University, Shanghai, ChinaMaglev Transportation Engineering Research and Development Center, Tongji University, Shanghai, ChinaIn this paper, a novel concept of nonlinear controller design is proposed, which is applicable to nonlinear systems subject to external periodic disturbances. At first, by employing a pioneering nonlinear coordinate transformation, a new nonlinear system model with expected dynamic characteristics is derived. Then, a corresponding linear system is achieved by means of linearization techniques at equilibrium points. Next, based on the results of classical linear control theory, a linear quadratic regulator is applied to the resulted linear system. Finally, the nonlinear controller can be obtained through the inverse nonlinear coordinate transformation of the linear feedback controller. The performance of the proposed method is validated on a magnetic levitation system and is compared with the classical linearization feedback control. Simulation results show that the proposed controller design assures enhanced performance in terms of both system stabilization and disturbance attenuation.https://ieeexplore.ieee.org/document/8895958/Magnetic levitation systemcoordinate transformationlinear quadratic regulatornonlinear feedbackdisturbance attenuation |
| spellingShingle | Fei Ni Qinghua Zheng Junqi Xu Guobin Lin Nonlinear Control of a Magnetic Levitation System Based on Coordinate Transformations IEEE Access Magnetic levitation system coordinate transformation linear quadratic regulator nonlinear feedback disturbance attenuation |
| title | Nonlinear Control of a Magnetic Levitation System Based on Coordinate Transformations |
| title_full | Nonlinear Control of a Magnetic Levitation System Based on Coordinate Transformations |
| title_fullStr | Nonlinear Control of a Magnetic Levitation System Based on Coordinate Transformations |
| title_full_unstemmed | Nonlinear Control of a Magnetic Levitation System Based on Coordinate Transformations |
| title_short | Nonlinear Control of a Magnetic Levitation System Based on Coordinate Transformations |
| title_sort | nonlinear control of a magnetic levitation system based on coordinate transformations |
| topic | Magnetic levitation system coordinate transformation linear quadratic regulator nonlinear feedback disturbance attenuation |
| url | https://ieeexplore.ieee.org/document/8895958/ |
| work_keys_str_mv | AT feini nonlinearcontrolofamagneticlevitationsystembasedoncoordinatetransformations AT qinghuazheng nonlinearcontrolofamagneticlevitationsystembasedoncoordinatetransformations AT junqixu nonlinearcontrolofamagneticlevitationsystembasedoncoordinatetransformations AT guobinlin nonlinearcontrolofamagneticlevitationsystembasedoncoordinatetransformations |