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...

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Authors: Rotondo, Damiano|||0000-0002-8855-5582; Cristofaro, Andrea; Johansen, Tor Arne; Nejjari Akhi-Elarab, Fatiha|||0000-0001-9118-632X; Puig Cayuela, Vicenç|||0000-0002-6364-6429
Format: Article
Publication date:2017
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/114115
Online Access:https://hdl.handle.net/2117/114115
https://dx.doi.org/10.1080/00207179.2017.1335882
Access Level:Open access
Keyword:Error-correcting codes (Information theory)
Automatic control
Unknown input observers
linear parameter varying (LPV) systems
fault detection and isolation
uncertain systems
interval observers
Codis correctors d'errors (Teoria de la informació)
Control automàtic
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
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author Rotondo, Damiano|||0000-0002-8855-5582
author2 Cristofaro, Andrea
Johansen, Tor Arne
Nejjari Akhi-Elarab, Fatiha|||0000-0001-9118-632X
Puig Cayuela, Vicenç|||0000-0002-6364-6429
author2_role author
author
author
author
author_browse Cristofaro, Andrea
Johansen, Tor Arne
Nejjari Akhi-Elarab, Fatiha|||0000-0001-9118-632X
Puig Cayuela, Vicenç|||0000-0002-6364-6429
Rotondo, Damiano|||0000-0002-8855-5582
author_facet Rotondo, Damiano|||0000-0002-8855-5582
Cristofaro, Andrea
Johansen, Tor Arne
Nejjari Akhi-Elarab, Fatiha|||0000-0001-9118-632X
Puig Cayuela, Vicenç|||0000-0002-6364-6429
author_role author
collection UPCommons. Portal del coneixement obert de la UPC
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.
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institution Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
language eng
network_acronym_str ES
network_name_str España
oai_identifier_str oai:upcommons.upc.edu:2117/114115
publishDate 2017
publishDateSort 2017
reponame_str UPCommons. Portal del coneixement obert de la UPC
spelling State estimation and decoupling of unknown inputs in uncertain LPV systems using interval observers Rotondo, Damiano|||0000-0002-8855-5582 Cristofaro, Andrea Johansen, Tor Arne Nejjari Akhi-Elarab, Fatiha|||0000-0001-9118-632X Puig Cayuela, Vicenç|||0000-0002-6364-6429 Error-correcting codes (Information theory) Automatic control Unknown input observers linear parameter varying (LPV) systems fault detection and isolation uncertain systems interval observers Codis correctors d'errors (Teoria de la informació) Control automàtic Àrees temàtiques de la UPC::Informàtica::Automàtica i control 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. Peer Reviewed https://hdl.handle.net/2117/114115 https://dx.doi.org/10.1080/00207179.2017.1335882
spellingShingle State estimation and decoupling of unknown inputs in uncertain LPV systems using interval observers
Rotondo, Damiano|||0000-0002-8855-5582
Error-correcting codes (Information theory)
Automatic control
Unknown input observers
linear parameter varying (LPV) systems
fault detection and isolation
uncertain systems
interval observers
Codis correctors d'errors (Teoria de la informació)
Control automàtic
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
title 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_short 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
topic Error-correcting codes (Information theory)
Automatic control
Unknown input observers
linear parameter varying (LPV) systems
fault detection and isolation
uncertain systems
interval observers
Codis correctors d'errors (Teoria de la informació)
Control automàtic
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
topic_facet Error-correcting codes (Information theory)
Automatic control
Unknown input observers
linear parameter varying (LPV) systems
fault detection and isolation
uncertain systems
interval observers
Codis correctors d'errors (Teoria de la informació)
Control automàtic
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
url https://hdl.handle.net/2117/114115
https://dx.doi.org/10.1080/00207179.2017.1335882