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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Detalhes bibliográficos
Autores: 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
Tipo de documento: Artigo
Data de publicação:2017
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:Inglês
OAI Identifier:oai:upcommons.upc.edu:2117/114115
Acesso em linha:https://hdl.handle.net/2117/114115
https://dx.doi.org/10.1080/00207179.2017.1335882
Nível de acesso:Acesso aberto
Palavra-chave: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
Descrição
Resumo: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.