A geometric theory for 2-D systems including notions of stabilisability
In this paper we consider the problem of internally and externally stabilising controlled invariant and output-nulling subspaces for two-dimensional (2-D) Fornasini–Marchesini models, via static feedback. A numerically tractable procedure for computing a stabilising feedback matrix is developed via...
| Main Authors: | , , |
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| Format: | Journal Article |
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Springer Netherlands
2008
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| Online Access: | http://hdl.handle.net/20.500.11937/28780 |
| _version_ | 1848752628191723520 |
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| author | Ntogramatzidis, Lorenzo Cantoni, M. Yang, R. |
| author_facet | Ntogramatzidis, Lorenzo Cantoni, M. Yang, R. |
| author_sort | Ntogramatzidis, Lorenzo |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we consider the problem of internally and externally stabilising controlled invariant and output-nulling subspaces for two-dimensional (2-D) Fornasini–Marchesini models, via static feedback. A numerically tractable procedure for computing a stabilising feedback matrix is developed via linear matrix inequality techniques. This is subsequently applied to solve, for the first time, various 2-D disturbance decoupling problems subject to a closed-loop stability constraint. |
| first_indexed | 2025-11-14T08:11:38Z |
| format | Journal Article |
| id | curtin-20.500.11937-28780 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:11:38Z |
| publishDate | 2008 |
| publisher | Springer Netherlands |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-287802017-09-13T15:18:09Z A geometric theory for 2-D systems including notions of stabilisability Ntogramatzidis, Lorenzo Cantoni, M. Yang, R. 2-D Fornasini–Marchesini models Disturbance decoupling problems Internal/external stabilisation Output-nulling subspaces Controlled invariance In this paper we consider the problem of internally and externally stabilising controlled invariant and output-nulling subspaces for two-dimensional (2-D) Fornasini–Marchesini models, via static feedback. A numerically tractable procedure for computing a stabilising feedback matrix is developed via linear matrix inequality techniques. This is subsequently applied to solve, for the first time, various 2-D disturbance decoupling problems subject to a closed-loop stability constraint. 2008 Journal Article http://hdl.handle.net/20.500.11937/28780 10.1007/s11045-007-0046-8 Springer Netherlands fulltext |
| spellingShingle | 2-D Fornasini–Marchesini models Disturbance decoupling problems Internal/external stabilisation Output-nulling subspaces Controlled invariance Ntogramatzidis, Lorenzo Cantoni, M. Yang, R. A geometric theory for 2-D systems including notions of stabilisability |
| title | A geometric theory for 2-D systems including notions of stabilisability |
| title_full | A geometric theory for 2-D systems including notions of stabilisability |
| title_fullStr | A geometric theory for 2-D systems including notions of stabilisability |
| title_full_unstemmed | A geometric theory for 2-D systems including notions of stabilisability |
| title_short | A geometric theory for 2-D systems including notions of stabilisability |
| title_sort | geometric theory for 2-d systems including notions of stabilisability |
| topic | 2-D Fornasini–Marchesini models Disturbance decoupling problems Internal/external stabilisation Output-nulling subspaces Controlled invariance |
| url | http://hdl.handle.net/20.500.11937/28780 |