A structural approach to state-to-output decoupling
In this paper, we address a general eigenstructure assignment problem where the objective is to distribute the closed-loop modes over the components of the system outputs in such a way that if a certain mode appears in a given output, it is unobservable from any of the other output components. By co...
| Main Authors: | , , |
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| Format: | Journal Article |
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Society for Industrial and Applied Mathematics
2018
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| Online Access: | http://purl.org/au-research/grants/arc/DP160104994 http://hdl.handle.net/20.500.11937/72203 |
| _version_ | 1848762687858671616 |
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| author | Garone, E. Ntogramatzidis, Lorenzo Padula, Fabrizio |
| author_facet | Garone, E. Ntogramatzidis, Lorenzo Padula, Fabrizio |
| author_sort | Garone, E. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we address a general eigenstructure assignment problem where the objective is to distribute the closed-loop modes over the components of the system outputs in such a way that if a certain mode appears in a given output, it is unobservable from any of the other output components. By combining classical geometric control results with the theory of combinatorics, we provide necessary and sufficient conditions for the solvability of this problem, herein referred to as state-to-output decoupling, under very mild assumptions. We propose solvability conditions expressed in terms of the dimensions of suitably defined controlled invariant subspaces of the system. In this way, the solvability of the problem can be evaluated a priori, in the sense that it is given in terms of the problem/system data. The proposed approach is constructive, so that when a controller that solves the problem indeed exists, it can be computed by using the machinery developed in this paper. |
| first_indexed | 2025-11-14T10:51:32Z |
| format | Journal Article |
| id | curtin-20.500.11937-72203 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:51:32Z |
| publishDate | 2018 |
| publisher | Society for Industrial and Applied Mathematics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-722032022-10-27T06:52:14Z A structural approach to state-to-output decoupling Garone, E. Ntogramatzidis, Lorenzo Padula, Fabrizio In this paper, we address a general eigenstructure assignment problem where the objective is to distribute the closed-loop modes over the components of the system outputs in such a way that if a certain mode appears in a given output, it is unobservable from any of the other output components. By combining classical geometric control results with the theory of combinatorics, we provide necessary and sufficient conditions for the solvability of this problem, herein referred to as state-to-output decoupling, under very mild assumptions. We propose solvability conditions expressed in terms of the dimensions of suitably defined controlled invariant subspaces of the system. In this way, the solvability of the problem can be evaluated a priori, in the sense that it is given in terms of the problem/system data. The proposed approach is constructive, so that when a controller that solves the problem indeed exists, it can be computed by using the machinery developed in this paper. 2018 Journal Article http://hdl.handle.net/20.500.11937/72203 10.1137/16M1105931 http://purl.org/au-research/grants/arc/DP160104994 Society for Industrial and Applied Mathematics restricted |
| spellingShingle | Garone, E. Ntogramatzidis, Lorenzo Padula, Fabrizio A structural approach to state-to-output decoupling |
| title | A structural approach to state-to-output decoupling |
| title_full | A structural approach to state-to-output decoupling |
| title_fullStr | A structural approach to state-to-output decoupling |
| title_full_unstemmed | A structural approach to state-to-output decoupling |
| title_short | A structural approach to state-to-output decoupling |
| title_sort | structural approach to state-to-output decoupling |
| url | http://purl.org/au-research/grants/arc/DP160104994 http://hdl.handle.net/20.500.11937/72203 |