Dual lattices for non-strictly proper systems
This paper investigates the dual lattice structures of self-bounded and self-hidden subspaces of linear time-invariant systems arising in the solution of disturbance decoupling, regulator and unknown-input observation problems. The case that we are addressing in this paper is the one where the algeb...
| Main Authors: | , , |
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| Format: | Conference Paper |
| Language: | English |
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ELSEVIER
2020
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| Subjects: | |
| Online Access: | http://purl.org/au-research/grants/arc/DP190102478 http://hdl.handle.net/20.500.11937/89488 |
| _version_ | 1848765230842118144 |
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| author | Padula, Fabrizio Ntogramatzidis, Lorenzo Loxton, Ryan |
| author_facet | Padula, Fabrizio Ntogramatzidis, Lorenzo Loxton, Ryan |
| author_sort | Padula, Fabrizio |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper investigates the dual lattice structures of self-bounded and self-hidden subspaces of linear time-invariant systems arising in the solution of disturbance decoupling, regulator and unknown-input observation problems. The case that we are addressing in this paper is the one where the algebraic feedthrough matrices are allowed to be nonzero. We show that, in this general case, the additional constraints that need to be taken into account for the solution of the aforementioned control/estimation problems are no longer simple subspace inclusions as in the strictly proper case. As a consequence, mathematical apparatus underpinning the structure of the dual lattices of self bounded and self hidden subspaces in this more general framework becomes more challenging and richer. |
| first_indexed | 2025-11-14T11:31:57Z |
| format | Conference Paper |
| id | curtin-20.500.11937-89488 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:31:57Z |
| publishDate | 2020 |
| publisher | ELSEVIER |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-894882023-02-14T04:20:38Z Dual lattices for non-strictly proper systems Padula, Fabrizio Ntogramatzidis, Lorenzo Loxton, Ryan Science & Technology Technology Automation & Control Systems Dual lattices self-boundedness self-hiddenness geometric control disturbance decoupling unknown-input observation MEASUREMENT FEEDBACK FIXED POLES DISTURBANCE This paper investigates the dual lattice structures of self-bounded and self-hidden subspaces of linear time-invariant systems arising in the solution of disturbance decoupling, regulator and unknown-input observation problems. The case that we are addressing in this paper is the one where the algebraic feedthrough matrices are allowed to be nonzero. We show that, in this general case, the additional constraints that need to be taken into account for the solution of the aforementioned control/estimation problems are no longer simple subspace inclusions as in the strictly proper case. As a consequence, mathematical apparatus underpinning the structure of the dual lattices of self bounded and self hidden subspaces in this more general framework becomes more challenging and richer. 2020 Conference Paper http://hdl.handle.net/20.500.11937/89488 10.1016/j.ifacol.2020.12.364 English http://purl.org/au-research/grants/arc/DP190102478 http://purl.org/au-research/grants/arc/FT170100120 http://creativecommons.org/licenses/by-nc-nd/4.0/ ELSEVIER fulltext |
| spellingShingle | Science & Technology Technology Automation & Control Systems Dual lattices self-boundedness self-hiddenness geometric control disturbance decoupling unknown-input observation MEASUREMENT FEEDBACK FIXED POLES DISTURBANCE Padula, Fabrizio Ntogramatzidis, Lorenzo Loxton, Ryan Dual lattices for non-strictly proper systems |
| title | Dual lattices for non-strictly proper systems |
| title_full | Dual lattices for non-strictly proper systems |
| title_fullStr | Dual lattices for non-strictly proper systems |
| title_full_unstemmed | Dual lattices for non-strictly proper systems |
| title_short | Dual lattices for non-strictly proper systems |
| title_sort | dual lattices for non-strictly proper systems |
| topic | Science & Technology Technology Automation & Control Systems Dual lattices self-boundedness self-hiddenness geometric control disturbance decoupling unknown-input observation MEASUREMENT FEEDBACK FIXED POLES DISTURBANCE |
| url | http://purl.org/au-research/grants/arc/DP190102478 http://purl.org/au-research/grants/arc/DP190102478 http://hdl.handle.net/20.500.11937/89488 |