Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings
A constructive method is presented to design controllers that force the output of nonlinear systems in a strict feedback form to track a bounded and sufficiently smooth reference trajectory asymptotically. Under a suitable condition on the initial output tracking error, the proposed controllers guar...
| Main Author: | |
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| Format: | Journal Article |
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Taylor & Francis
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/30086 |
| _version_ | 1848752986805764096 |
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| author | Do, Khac Duc |
| author_facet | Do, Khac Duc |
| author_sort | Do, Khac Duc |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A constructive method is presented to design controllers that force the output of nonlinear systems in a strict feedback form to track a bounded and sufficiently smooth reference trajectory asymptotically. Under a suitable condition on the initial output tracking error, the proposed controllers guarantee the output tracking error within a symmetric or an asymmetric pre-specified limit range, and boundedness of all signals of the closed-loop system. A transformation is introduced to take care of the output tracking error constraint. Smooth and/or p-times differentiable step functions are proposed and incorporated in the output tracking error transformation to overcome difficulties due to the asymmetric limit range on the output tracking error. As a result, there are no switchings in the proposed controllers despite the asymmetric limit range. The proposed control design is then applied to design a tracking controller for active magnetic bearings as an illustrating application. © 2010 Taylor & Francis. |
| first_indexed | 2025-11-14T08:17:20Z |
| format | Journal Article |
| id | curtin-20.500.11937-30086 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:17:20Z |
| publishDate | 2010 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-300862017-09-13T15:28:26Z Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings Do, Khac Duc A constructive method is presented to design controllers that force the output of nonlinear systems in a strict feedback form to track a bounded and sufficiently smooth reference trajectory asymptotically. Under a suitable condition on the initial output tracking error, the proposed controllers guarantee the output tracking error within a symmetric or an asymmetric pre-specified limit range, and boundedness of all signals of the closed-loop system. A transformation is introduced to take care of the output tracking error constraint. Smooth and/or p-times differentiable step functions are proposed and incorporated in the output tracking error transformation to overcome difficulties due to the asymmetric limit range on the output tracking error. As a result, there are no switchings in the proposed controllers despite the asymmetric limit range. The proposed control design is then applied to design a tracking controller for active magnetic bearings as an illustrating application. © 2010 Taylor & Francis. 2010 Journal Article http://hdl.handle.net/20.500.11937/30086 10.1080/00207171003664828 Taylor & Francis restricted |
| spellingShingle | Do, Khac Duc Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings |
| title | Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings |
| title_full | Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings |
| title_fullStr | Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings |
| title_full_unstemmed | Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings |
| title_short | Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings |
| title_sort | control of nonlinear systems with output tracking error constraints and its application to magnetic bearings |
| url | http://hdl.handle.net/20.500.11937/30086 |