Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain
We consider the classic problem of pole placement by state feedback. We revisit the well-known eigenstructure assignment algorithm of Kautsky, Nichols and van Dooren [1] and extend it to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-lo...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Conference Paper |
| Published: |
Institute of Electrical and Electronics Engineers Inc.
2014
|
| Subjects: | |
| Online Access: | http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6858688 http://hdl.handle.net/20.500.11937/25262 |
| _version_ | 1848751659520360448 |
|---|---|
| author | Schmid, R. Nguyen, T. Ntogramatzidis, Lorenzo |
| author2 | - |
| author_facet | - Schmid, R. Nguyen, T. Ntogramatzidis, Lorenzo |
| author_sort | Schmid, R. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We consider the classic problem of pole placement by state feedback. We revisit the well-known eigenstructure assignment algorithm of Kautsky, Nichols and van Dooren [1] and extend it 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 employed to introduce an unconstrained nonlinear optimisation algorithm to obtain a feedback matrix that delivers the desired pole placement with minimum gain. |
| first_indexed | 2025-11-14T07:56:15Z |
| format | Conference Paper |
| id | curtin-20.500.11937-25262 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:56:15Z |
| publishDate | 2014 |
| publisher | Institute of Electrical and Electronics Engineers Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-252622017-01-30T12:47:38Z Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain Schmid, R. Nguyen, T. Ntogramatzidis, Lorenzo - Numerical algorithms Optimization Linear systems We consider the classic problem of pole placement by state feedback. We revisit the well-known eigenstructure assignment algorithm of Kautsky, Nichols and van Dooren [1] and extend it 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 employed to introduce an unconstrained nonlinear optimisation algorithm to obtain a feedback matrix that delivers the desired pole placement with minimum gain. 2014 Conference Paper http://hdl.handle.net/20.500.11937/25262 http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6858688 Institute of Electrical and Electronics Engineers Inc. fulltext |
| spellingShingle | Numerical algorithms Optimization Linear systems Schmid, R. Nguyen, T. Ntogramatzidis, Lorenzo Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain |
| title | Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain |
| title_full | Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain |
| title_fullStr | Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain |
| title_full_unstemmed | Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain |
| title_short | Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain |
| title_sort | arbitrary pole placement with the extended kautsky-nichols-van dooren parametric form with minimum gain |
| topic | Numerical algorithms Optimization Linear systems |
| url | http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6858688 http://hdl.handle.net/20.500.11937/25262 |