Robust arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form
We consider the classic problem of pole placement by state feedback. Our recent work [1] offered an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix to deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. The metho...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
IEEE
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/17085 |
| _version_ | 1848749362608340992 |
|---|---|
| author | Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. |
| author2 | Dario Bauso |
| author_facet | Dario Bauso Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. |
| author_sort | Schmid, R. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We consider the classic problem of pole placement by state feedback. Our recent work [1] offered an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix to deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. The method was adapted from the classic eigenstructure assignment algorithm of Kautsky, Nichols and van Dooren [2]. In this paper we employ this parametric formula to introduce an unconstrained nonlinear optimisation algorithm to obtain a gain matrix that delivers any desired pole placement with optimal robustness. |
| first_indexed | 2025-11-14T07:19:44Z |
| format | Conference Paper |
| id | curtin-20.500.11937-17085 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:19:44Z |
| publishDate | 2014 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-170852023-02-13T08:01:37Z Robust arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. Dario Bauso Filippo D’Ippolito Adriano Fagiolini Pierluigi Gallo Ilenia Tinnirello We consider the classic problem of pole placement by state feedback. Our recent work [1] offered an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix to deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. The method was adapted from the classic eigenstructure assignment algorithm of Kautsky, Nichols and van Dooren [2]. In this paper we employ this parametric formula to introduce an unconstrained nonlinear optimisation algorithm to obtain a gain matrix that delivers any desired pole placement with optimal robustness. 2014 Conference Paper http://hdl.handle.net/20.500.11937/17085 IEEE fulltext |
| spellingShingle | Schmid, R. Ntogramatzidis, Lorenzo Nguyen, T. Robust arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form |
| title | Robust arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form |
| title_full | Robust arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form |
| title_fullStr | Robust arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form |
| title_full_unstemmed | Robust arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form |
| title_short | Robust arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form |
| title_sort | robust arbitrary pole placement with the extended kautsky-nichols-van dooren parametric form |
| url | http://hdl.handle.net/20.500.11937/17085 |