Arbitrary pole placement by state feedback with minimum gain
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 gain matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric formul...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
Institute of Electrical and Electronics Engineers ( IEEE )
2013
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/21499 |
| _version_ | 1848750607653928960 |
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| author | Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. Pandey, A. |
| author2 | Unknown |
| author_facet | Unknown 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 gain 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 gain matrix that delivers the desired pole placement with minimum gain. |
| first_indexed | 2025-11-14T07:39:31Z |
| format | Conference Paper |
| id | curtin-20.500.11937-21499 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:39:31Z |
| publishDate | 2013 |
| publisher | Institute of Electrical and Electronics Engineers ( IEEE ) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-214992017-09-13T13:53:46Z Arbitrary pole placement by state feedback with minimum gain Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. Pandey, A. Unknown Gain matrices Non-linear optimisation Parametric forms Eigenstructure assignment Closed-loop eigenvalues 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 gain 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 gain matrix that delivers the desired pole placement with minimum gain. 2013 Conference Paper http://hdl.handle.net/20.500.11937/21499 10.1109/MED.2013.6608909 Institute of Electrical and Electronics Engineers ( IEEE ) fulltext |
| spellingShingle | Gain matrices Non-linear optimisation Parametric forms Eigenstructure assignment Closed-loop eigenvalues Pole placement Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. Pandey, A. Arbitrary pole placement by state feedback with minimum gain |
| title | Arbitrary pole placement by state feedback with minimum gain |
| title_full | Arbitrary pole placement by state feedback with minimum gain |
| title_fullStr | Arbitrary pole placement by state feedback with minimum gain |
| title_full_unstemmed | Arbitrary pole placement by state feedback with minimum gain |
| title_short | Arbitrary pole placement by state feedback with minimum gain |
| title_sort | arbitrary pole placement by state feedback with minimum gain |
| topic | Gain matrices Non-linear optimisation Parametric forms Eigenstructure assignment Closed-loop eigenvalues Pole placement |
| url | http://hdl.handle.net/20.500.11937/21499 |