State estimation and decoupling of unknown inputs in uncertain LPV systems using interval observers
This paper proposes a linear parameter varying (LPV) interval observer for state estimation and unknown inputs decoupling in uncertain continuous-time LPV systems. Two different problems are considered and solved: (1) the evaluation of the set of admissible values for the state at each instant of ti...
Published in: | International Journal of Control |
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Online Access: | http://hdl.handle.net/10261/179604 https://doi.org/10.1080/00207179.2017.1335882 https://doi.org/10.13039/501100003329 https://doi.org/10.13039/501100001667 https://doi.org/10.13039/501100000780 https://doi.org/10.13039/501100002809 https://doi.org/10.13039/501100002911 |
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ftcsic:oai:digital.csic.es:10261/179604 2024-02-11T10:05:11+01:00 State estimation and decoupling of unknown inputs in uncertain LPV systems using interval observers Rotondo, Damiano Cristofaro, Andrea Arne Johansen, Tor Nejjari, Fatiha Puig, Vicenç European Commission Universidad Complutense de Madrid Ministerio de Economía y Competitividad (España) Generalitat de Catalunya Research Council of Norway European Research Consortium for Informatics and Mathematics Rotondo, Damiano 2018-06-13 http://hdl.handle.net/10261/179604 https://doi.org/10.1080/00207179.2017.1335882 https://doi.org/10.13039/501100003329 https://doi.org/10.13039/501100001667 https://doi.org/10.13039/501100000780 https://doi.org/10.13039/501100002809 https://doi.org/10.13039/501100002911 en eng Taylor & Francis #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2014-58104-R Postprint https://doi.org/10.1080/00207179.2017.1335882 Sí International Journal of Control 91(8): 1944–1961 (2018) 0020-7179 http://hdl.handle.net/10261/179604 doi:10.1080/00207179.2017.1335882 1366-5820 http://dx.doi.org/10.13039/501100003329 http://dx.doi.org/10.13039/501100001667 http://dx.doi.org/10.13039/501100000780 http://dx.doi.org/10.13039/501100002809 http://dx.doi.org/10.13039/501100002911 open Unknown input observers Linear parameter varying (LPV) systems Fault detection and isolation Uncertain systems Interval observers artículo http://purl.org/coar/resource_type/c_6501 2018 ftcsic https://doi.org/10.1080/00207179.2017.133588210.13039/50110000332910.13039/50110000166710.13039/50110000078010.13039/50110000280910.13039/501100002911 2024-01-16T10:38:03Z This paper proposes a linear parameter varying (LPV) interval observer for state estimation and unknown inputs decoupling in uncertain continuous-time LPV systems. Two different problems are considered and solved: (1) the evaluation of the set of admissible values for the state at each instant of time; and (2) the unknown input observation, i.e. the design of the observer in such a way that some information about the nature of the unknown inputs affecting the system can be obtained. In both cases, analysis and design conditions, which rely on solving linear matrix inequalities (LMIs), are provided. The effectiveness and appeal of the proposed method is demonstrated using an illustrative application to a two-joint planar robotic manipulator. This work has been supported by a grant from Iceland, Liecht- enstein and Norway through the EEA Financial Mechanism. Operated by Universidad Complutense de Madrid (ref. 006- ABEL-IM-2014B). The authors also acknowledge the support by MINECO and FEDER through the project CICYT HAR- CRICS (ref. DPI2014-58104-R), by AGAUR through the con- tracts FI-DGR 2014 (ref. 2014FI_B1_00172) and FI-DGR 2015 (ref. 2015FI_B2_00171), by the DGR of the Generalitat de Catalunya (ref. 2014/SGR/374) and by the Research Council of Norway through the Centres of Excellence funding scheme (ref. 223254 - AMOS). D. Rotondo is also supported by the ERCIM Alain Bensoussan Fellowship programme. Peer reviewed Article in Journal/Newspaper Iceland Digital.CSIC (Spanish National Research Council) Norway International Journal of Control 91 8 1944 1961 |
institution |
Open Polar |
collection |
Digital.CSIC (Spanish National Research Council) |
op_collection_id |
ftcsic |
language |
English |
topic |
Unknown input observers Linear parameter varying (LPV) systems Fault detection and isolation Uncertain systems Interval observers |
spellingShingle |
Unknown input observers Linear parameter varying (LPV) systems Fault detection and isolation Uncertain systems Interval observers Rotondo, Damiano Cristofaro, Andrea Arne Johansen, Tor Nejjari, Fatiha Puig, Vicenç State estimation and decoupling of unknown inputs in uncertain LPV systems using interval observers |
topic_facet |
Unknown input observers Linear parameter varying (LPV) systems Fault detection and isolation Uncertain systems Interval observers |
description |
This paper proposes a linear parameter varying (LPV) interval observer for state estimation and unknown inputs decoupling in uncertain continuous-time LPV systems. Two different problems are considered and solved: (1) the evaluation of the set of admissible values for the state at each instant of time; and (2) the unknown input observation, i.e. the design of the observer in such a way that some information about the nature of the unknown inputs affecting the system can be obtained. In both cases, analysis and design conditions, which rely on solving linear matrix inequalities (LMIs), are provided. The effectiveness and appeal of the proposed method is demonstrated using an illustrative application to a two-joint planar robotic manipulator. This work has been supported by a grant from Iceland, Liecht- enstein and Norway through the EEA Financial Mechanism. Operated by Universidad Complutense de Madrid (ref. 006- ABEL-IM-2014B). The authors also acknowledge the support by MINECO and FEDER through the project CICYT HAR- CRICS (ref. DPI2014-58104-R), by AGAUR through the con- tracts FI-DGR 2014 (ref. 2014FI_B1_00172) and FI-DGR 2015 (ref. 2015FI_B2_00171), by the DGR of the Generalitat de Catalunya (ref. 2014/SGR/374) and by the Research Council of Norway through the Centres of Excellence funding scheme (ref. 223254 - AMOS). D. Rotondo is also supported by the ERCIM Alain Bensoussan Fellowship programme. Peer reviewed |
author2 |
European Commission Universidad Complutense de Madrid Ministerio de Economía y Competitividad (España) Generalitat de Catalunya Research Council of Norway European Research Consortium for Informatics and Mathematics Rotondo, Damiano |
format |
Article in Journal/Newspaper |
author |
Rotondo, Damiano Cristofaro, Andrea Arne Johansen, Tor Nejjari, Fatiha Puig, Vicenç |
author_facet |
Rotondo, Damiano Cristofaro, Andrea Arne Johansen, Tor Nejjari, Fatiha Puig, Vicenç |
author_sort |
Rotondo, Damiano |
title |
State estimation and decoupling of unknown inputs in uncertain LPV systems using interval observers |
title_short |
State estimation and decoupling of unknown inputs in uncertain LPV systems using interval observers |
title_full |
State estimation and decoupling of unknown inputs in uncertain LPV systems using interval observers |
title_fullStr |
State estimation and decoupling of unknown inputs in uncertain LPV systems using interval observers |
title_full_unstemmed |
State estimation and decoupling of unknown inputs in uncertain LPV systems using interval observers |
title_sort |
state estimation and decoupling of unknown inputs in uncertain lpv systems using interval observers |
publisher |
Taylor & Francis |
publishDate |
2018 |
url |
http://hdl.handle.net/10261/179604 https://doi.org/10.1080/00207179.2017.1335882 https://doi.org/10.13039/501100003329 https://doi.org/10.13039/501100001667 https://doi.org/10.13039/501100000780 https://doi.org/10.13039/501100002809 https://doi.org/10.13039/501100002911 |
geographic |
Norway |
geographic_facet |
Norway |
genre |
Iceland |
genre_facet |
Iceland |
op_relation |
#PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2014-58104-R Postprint https://doi.org/10.1080/00207179.2017.1335882 Sí International Journal of Control 91(8): 1944–1961 (2018) 0020-7179 http://hdl.handle.net/10261/179604 doi:10.1080/00207179.2017.1335882 1366-5820 http://dx.doi.org/10.13039/501100003329 http://dx.doi.org/10.13039/501100001667 http://dx.doi.org/10.13039/501100000780 http://dx.doi.org/10.13039/501100002809 http://dx.doi.org/10.13039/501100002911 |
op_rights |
open |
op_doi |
https://doi.org/10.1080/00207179.2017.133588210.13039/50110000332910.13039/50110000166710.13039/50110000078010.13039/50110000280910.13039/501100002911 |
container_title |
International Journal of Control |
container_volume |
91 |
container_issue |
8 |
container_start_page |
1944 |
op_container_end_page |
1961 |
_version_ |
1790602081666596864 |