A unified method for optimal arbitrary pole placement
We consider the classic problem of pole placement by state feedback. We offer an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric fo...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Pergamon
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/17653 |
| _version_ | 1848749521073340416 |
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| author | Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. Pandey, A. |
| author_facet | Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. Pandey, A. |
| author_sort | Schmid, R. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We consider the classic problem of pole placement by state feedback. We offer an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric formula is then exploited to introduce an unconstrained nonlinear optimisation algorithm to obtain a feedback matrix that delivers the desired pole placement with optimal robustness and minimum gain. Lastly we compare the performance of our method against several others from the recent literature. |
| first_indexed | 2025-11-14T07:22:15Z |
| format | Journal Article |
| id | curtin-20.500.11937-17653 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:22:15Z |
| publishDate | 2014 |
| publisher | Pergamon |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-176532019-02-19T05:34:59Z A unified method for optimal arbitrary pole placement Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. Pandey, A. Optimal control Linear systems Pole placement We consider the classic problem of pole placement by state feedback. We offer an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric formula is then exploited to introduce an unconstrained nonlinear optimisation algorithm to obtain a feedback matrix that delivers the desired pole placement with optimal robustness and minimum gain. Lastly we compare the performance of our method against several others from the recent literature. 2014 Journal Article http://hdl.handle.net/20.500.11937/17653 10.1016/j.automatica.2014.06.006 Pergamon fulltext |
| spellingShingle | Optimal control Linear systems Pole placement Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. Pandey, A. A unified method for optimal arbitrary pole placement |
| title | A unified method for optimal arbitrary pole placement |
| title_full | A unified method for optimal arbitrary pole placement |
| title_fullStr | A unified method for optimal arbitrary pole placement |
| title_full_unstemmed | A unified method for optimal arbitrary pole placement |
| title_short | A unified method for optimal arbitrary pole placement |
| title_sort | unified method for optimal arbitrary pole placement |
| topic | Optimal control Linear systems Pole placement |
| url | http://hdl.handle.net/20.500.11937/17653 |