Geometric structure and properties of LTI systems in the controller canonical form
In this paper we analyse the geometric properties of systems in the controller canonical form. We show that using a technique based on the calculation of null-spaces of the Rosenbrock system matrix pencil facilitates the computation of the fundamental geometric subspaces for such systems. It is also...
| Main Authors: | , , , |
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| Format: | Conference Paper |
| Published: |
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/48096 |
| _version_ | 1848758016594149376 |
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| author | Kazantzidou, C. Ntogramatzidis, Lorenzo Vardulakis, A. Garone, E. |
| author_facet | Kazantzidou, C. Ntogramatzidis, Lorenzo Vardulakis, A. Garone, E. |
| author_sort | Kazantzidou, C. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we analyse the geometric properties of systems in the controller canonical form. We show that using a technique based on the calculation of null-spaces of the Rosenbrock system matrix pencil facilitates the computation of the fundamental geometric subspaces for such systems. It is also shown how this geometric analysis can be exploited to derive necessary and sufficient conditions for the solution of the global monotonic tracking control problem solely in terms of the problem data. |
| first_indexed | 2025-11-14T09:37:17Z |
| format | Conference Paper |
| id | curtin-20.500.11937-48096 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:37:17Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-480962017-01-30T15:37:27Z Geometric structure and properties of LTI systems in the controller canonical form Kazantzidou, C. Ntogramatzidis, Lorenzo Vardulakis, A. Garone, E. In this paper we analyse the geometric properties of systems in the controller canonical form. We show that using a technique based on the calculation of null-spaces of the Rosenbrock system matrix pencil facilitates the computation of the fundamental geometric subspaces for such systems. It is also shown how this geometric analysis can be exploited to derive necessary and sufficient conditions for the solution of the global monotonic tracking control problem solely in terms of the problem data. 2015 Conference Paper http://hdl.handle.net/20.500.11937/48096 restricted |
| spellingShingle | Kazantzidou, C. Ntogramatzidis, Lorenzo Vardulakis, A. Garone, E. Geometric structure and properties of LTI systems in the controller canonical form |
| title | Geometric structure and properties of LTI systems in the controller canonical form |
| title_full | Geometric structure and properties of LTI systems in the controller canonical form |
| title_fullStr | Geometric structure and properties of LTI systems in the controller canonical form |
| title_full_unstemmed | Geometric structure and properties of LTI systems in the controller canonical form |
| title_short | Geometric structure and properties of LTI systems in the controller canonical form |
| title_sort | geometric structure and properties of lti systems in the controller canonical form |
| url | http://hdl.handle.net/20.500.11937/48096 |