On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis
This paper proposes a decomposition of the continuous-time algebraic Riccati equation aimed at eliminating the problem of the presence of closed-loop eigenvalues on the imaginary axis. In particular, we show that it is possible to parameterize the the entire set of solutions of the given Riccati equ...
| Main Authors: | , , |
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| Format: | Conference Paper |
| Language: | English |
| Published: |
ELSEVIER
2020
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| Subjects: | |
| Online Access: | http://purl.org/au-research/grants/arc/DP190102478 http://hdl.handle.net/20.500.11937/90943 |
| _version_ | 1848765467767865344 |
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| author | Ntogramatzidis, Lorenzo Arumugam, V. Ferrante, A. |
| author_facet | Ntogramatzidis, Lorenzo Arumugam, V. Ferrante, A. |
| author_sort | Ntogramatzidis, Lorenzo |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper proposes a decomposition of the continuous-time algebraic Riccati equation aimed at eliminating the problem of the presence of closed-loop eigenvalues on the imaginary axis. In particular, we show that it is possible to parameterize the the entire set of solutions of the given Riccati equation in terms of the solutions of a reduced-order Riccati equation, which is associated to a Hamiltonian matrix with no eigenvalues on the imaginary axis, and some free parameters arising from the presence of imaginary eigenvalues of the Hamiltonian matrix. |
| first_indexed | 2025-11-14T11:35:43Z |
| format | Conference Paper |
| id | curtin-20.500.11937-90943 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:35:43Z |
| publishDate | 2020 |
| publisher | ELSEVIER |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-909432023-03-28T02:58:52Z On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis Ntogramatzidis, Lorenzo Arumugam, V. Ferrante, A. Science & Technology Technology Automation & Control Systems Algebraic Riccati equations Hamiltonian matrix imaginary axis ORDER REDUCTION SYSTEMS This paper proposes a decomposition of the continuous-time algebraic Riccati equation aimed at eliminating the problem of the presence of closed-loop eigenvalues on the imaginary axis. In particular, we show that it is possible to parameterize the the entire set of solutions of the given Riccati equation in terms of the solutions of a reduced-order Riccati equation, which is associated to a Hamiltonian matrix with no eigenvalues on the imaginary axis, and some free parameters arising from the presence of imaginary eigenvalues of the Hamiltonian matrix. 2020 Conference Paper http://hdl.handle.net/20.500.11937/90943 10.1016/j.ifacol.2020.12.347 English http://purl.org/au-research/grants/arc/DP190102478 http://creativecommons.org/licenses/by-nc-nd/4.0/ ELSEVIER fulltext |
| spellingShingle | Science & Technology Technology Automation & Control Systems Algebraic Riccati equations Hamiltonian matrix imaginary axis ORDER REDUCTION SYSTEMS Ntogramatzidis, Lorenzo Arumugam, V. Ferrante, A. On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis |
| title | On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis |
| title_full | On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis |
| title_fullStr | On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis |
| title_full_unstemmed | On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis |
| title_short | On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis |
| title_sort | on the structure of the solution of continuous-time algebraic riccati equations with closed-loop eigenvalues on the imaginary axis |
| topic | Science & Technology Technology Automation & Control Systems Algebraic Riccati equations Hamiltonian matrix imaginary axis ORDER REDUCTION SYSTEMS |
| url | http://purl.org/au-research/grants/arc/DP190102478 http://hdl.handle.net/20.500.11937/90943 |