Robust eigenstructure assignment in geometric control theory
In this paper we employ the Rosenbrock system matrix pencil for the computation of output-nulling subspaces of linear time-invariant systems which appear in the solution of a large number of control and estimation problems. We also consider the problem of finding friends of these output-nulling subs...
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| Format: | Journal Article |
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Society for Industrial and Applied Mathematics
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/19332 |
| _version_ | 1848750003211730944 |
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| author | Ntogramatzidis, Lorenzo Schmid, R. |
| author_facet | Ntogramatzidis, Lorenzo Schmid, R. |
| author_sort | Ntogramatzidis, Lorenzo |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we employ the Rosenbrock system matrix pencil for the computation of output-nulling subspaces of linear time-invariant systems which appear in the solution of a large number of control and estimation problems. We also consider the problem of finding friends of these output-nulling subspaces, i.e., the feedback matrices that render such subspaces invariant with respect to the closed-loop map and output-nulling with respect to the output map, and which at the same time deliver a robust closed-loop eigenstructure. We show that the methods presented in this paper offer considerably more robust eigenstructure assignment than the other commonly used methods and algorithms. |
| first_indexed | 2025-11-14T07:29:55Z |
| format | Journal Article |
| id | curtin-20.500.11937-19332 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:29:55Z |
| publishDate | 2014 |
| publisher | Society for Industrial and Applied Mathematics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-193322021-12-01T04:25:21Z Robust eigenstructure assignment in geometric control theory Ntogramatzidis, Lorenzo Schmid, R. geometric control friends output-nulling subspaces Rosen-brock matrix pencil controlled invariance In this paper we employ the Rosenbrock system matrix pencil for the computation of output-nulling subspaces of linear time-invariant systems which appear in the solution of a large number of control and estimation problems. We also consider the problem of finding friends of these output-nulling subspaces, i.e., the feedback matrices that render such subspaces invariant with respect to the closed-loop map and output-nulling with respect to the output map, and which at the same time deliver a robust closed-loop eigenstructure. We show that the methods presented in this paper offer considerably more robust eigenstructure assignment than the other commonly used methods and algorithms. 2014 Journal Article http://hdl.handle.net/20.500.11937/19332 10.1137/130912906 Society for Industrial and Applied Mathematics restricted |
| spellingShingle | geometric control friends output-nulling subspaces Rosen-brock matrix pencil controlled invariance Ntogramatzidis, Lorenzo Schmid, R. Robust eigenstructure assignment in geometric control theory |
| title | Robust eigenstructure assignment in geometric control theory |
| title_full | Robust eigenstructure assignment in geometric control theory |
| title_fullStr | Robust eigenstructure assignment in geometric control theory |
| title_full_unstemmed | Robust eigenstructure assignment in geometric control theory |
| title_short | Robust eigenstructure assignment in geometric control theory |
| title_sort | robust eigenstructure assignment in geometric control theory |
| topic | geometric control friends output-nulling subspaces Rosen-brock matrix pencil controlled invariance |
| url | http://hdl.handle.net/20.500.11937/19332 |