The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control
In this paper the role that the continuous-time generalised Riccati equation plays within the context of singular linear-quadratic optimal control is analysed. To date, the importance of the continuous-time generalised Riccati equation in the context of optimal control has not been understood. This...
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| Other Authors: | |
| Format: | Conference Paper |
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IEEE
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/18121 |
| _version_ | 1848749653926871040 |
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| author | Ferrante, A. Ntogramatzidis, Lorenzo |
| author2 | Andrea Serani |
| author_facet | Andrea Serani Ferrante, A. Ntogramatzidis, Lorenzo |
| author_sort | Ferrante, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper the role that the continuous-time generalised Riccati equation plays within the context of singular linear-quadratic optimal control is analysed. To date, the importance of the continuous-time generalised Riccati equation in the context of optimal control has not been understood. This note addresses this point. We show in particular that when the continuous-time (constrained) generalised Riccati equation admits a symmetric solution, the corresponding linear-quadratic (LQ) problem admits an impulse-free optimal control. |
| first_indexed | 2025-11-14T07:24:22Z |
| format | Conference Paper |
| id | curtin-20.500.11937-18121 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:24:22Z |
| publishDate | 2013 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-181212017-09-13T13:46:47Z The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control Ferrante, A. Ntogramatzidis, Lorenzo Andrea Serani In this paper the role that the continuous-time generalised Riccati equation plays within the context of singular linear-quadratic optimal control is analysed. To date, the importance of the continuous-time generalised Riccati equation in the context of optimal control has not been understood. This note addresses this point. We show in particular that when the continuous-time (constrained) generalised Riccati equation admits a symmetric solution, the corresponding linear-quadratic (LQ) problem admits an impulse-free optimal control. 2013 Conference Paper http://hdl.handle.net/20.500.11937/18121 10.1109/CDC.2013.6760086 IEEE fulltext |
| spellingShingle | Ferrante, A. Ntogramatzidis, Lorenzo The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control |
| title | The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control |
| title_full | The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control |
| title_fullStr | The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control |
| title_full_unstemmed | The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control |
| title_short | The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control |
| title_sort | role of the generalised continuous algebraic riccati equation in impulse-free continuous-time singular lq optimal control |
| url | http://hdl.handle.net/20.500.11937/18121 |