On the Construction of Jordan Chains in the Eigenstructure Assignment for Output-Nulling Subspaces
© 2018 European Control Association (EUCA). This paper investigates several aspects related with the eigenstructure assignment problem for output-nulling subspaces. In particular, we deliver an alternative method for the computation of the feedback matrix that renders these subspaces invariant with...
| Main Authors: | , |
|---|---|
| Format: | Conference Paper |
| Published: |
2018
|
| Online Access: | http://purl.org/au-research/grants/arc/DP160104994 http://hdl.handle.net/20.500.11937/74541 |
| _version_ | 1848763304009269248 |
|---|---|
| author | Padula, Fabrizio Ntogramatzidis, Lorenzo |
| author_facet | Padula, Fabrizio Ntogramatzidis, Lorenzo |
| author_sort | Padula, Fabrizio |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2018 European Control Association (EUCA). This paper investigates several aspects related with the eigenstructure assignment problem for output-nulling subspaces. In particular, we deliver an alternative method for the computation of the feedback matrix that renders these subspaces invariant with respect to the closed-loop system matrix and assigns a defective eigenstructure in the closed-loop eigenstructure restricted to these subspaces. We show that this method, which consists in building the Jordan chains starting from the generalized eigenspace to the null-space of the Rosenbrock matrix, provides additional freedom in the resulting basis matrix. |
| first_indexed | 2025-11-14T11:01:20Z |
| format | Conference Paper |
| id | curtin-20.500.11937-74541 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:01:20Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-745412022-10-27T06:35:20Z On the Construction of Jordan Chains in the Eigenstructure Assignment for Output-Nulling Subspaces Padula, Fabrizio Ntogramatzidis, Lorenzo © 2018 European Control Association (EUCA). This paper investigates several aspects related with the eigenstructure assignment problem for output-nulling subspaces. In particular, we deliver an alternative method for the computation of the feedback matrix that renders these subspaces invariant with respect to the closed-loop system matrix and assigns a defective eigenstructure in the closed-loop eigenstructure restricted to these subspaces. We show that this method, which consists in building the Jordan chains starting from the generalized eigenspace to the null-space of the Rosenbrock matrix, provides additional freedom in the resulting basis matrix. 2018 Conference Paper http://hdl.handle.net/20.500.11937/74541 10.23919/ECC.2018.8550295 http://purl.org/au-research/grants/arc/DP160104994 restricted |
| spellingShingle | Padula, Fabrizio Ntogramatzidis, Lorenzo On the Construction of Jordan Chains in the Eigenstructure Assignment for Output-Nulling Subspaces |
| title | On the Construction of Jordan Chains in the Eigenstructure Assignment for Output-Nulling Subspaces |
| title_full | On the Construction of Jordan Chains in the Eigenstructure Assignment for Output-Nulling Subspaces |
| title_fullStr | On the Construction of Jordan Chains in the Eigenstructure Assignment for Output-Nulling Subspaces |
| title_full_unstemmed | On the Construction of Jordan Chains in the Eigenstructure Assignment for Output-Nulling Subspaces |
| title_short | On the Construction of Jordan Chains in the Eigenstructure Assignment for Output-Nulling Subspaces |
| title_sort | on the construction of jordan chains in the eigenstructure assignment for output-nulling subspaces |
| url | http://purl.org/au-research/grants/arc/DP160104994 http://hdl.handle.net/20.500.11937/74541 |