On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix
In this paper we offer a set of algorithms for the computation of the fundamental subspaces of linear time invariant (LTI) systems, which appear in the solution of a large number of control and estimation problems. In particular, we employ the Rosenbrock system matrix pencil to provide algorithms fo...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Conference Paper |
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Engineers Australia
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/34850 |
| _version_ | 1848754335114067968 |
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| author | Ntogramatzidis, Lorenzo Schmid, R. Ferrante, A. |
| author2 | Ian Petersen |
| author_facet | Ian Petersen Ntogramatzidis, Lorenzo Schmid, R. Ferrante, A. |
| author_sort | Ntogramatzidis, Lorenzo |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we offer a set of algorithms for the computation of the fundamental subspaces of linear time invariant (LTI) systems, which appear in the solution of a large number of control and estimation problems. In particular, we employ the Rosenbrock system matrix pencil to provide algorithms for the computation of output-nulling, reachability and stabilisability subspaces. We show via an example that these methods can offer superior reliability than other commonly used methods employing subspace recursions. |
| first_indexed | 2025-11-14T08:38:46Z |
| format | Conference Paper |
| id | curtin-20.500.11937-34850 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:38:46Z |
| publishDate | 2012 |
| publisher | Engineers Australia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-348502017-01-30T13:46:10Z On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix Ntogramatzidis, Lorenzo Schmid, R. Ferrante, A. Ian Petersen In this paper we offer a set of algorithms for the computation of the fundamental subspaces of linear time invariant (LTI) systems, which appear in the solution of a large number of control and estimation problems. In particular, we employ the Rosenbrock system matrix pencil to provide algorithms for the computation of output-nulling, reachability and stabilisability subspaces. We show via an example that these methods can offer superior reliability than other commonly used methods employing subspace recursions. 2012 Conference Paper http://hdl.handle.net/20.500.11937/34850 Engineers Australia restricted |
| spellingShingle | Ntogramatzidis, Lorenzo Schmid, R. Ferrante, A. On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix |
| title | On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix |
| title_full | On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix |
| title_fullStr | On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix |
| title_full_unstemmed | On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix |
| title_short | On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix |
| title_sort | on the computation of reachability, stabilisability and output-nulling subspaces using the rosenbrock system matrix |
| url | http://hdl.handle.net/20.500.11937/34850 |