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Robust state estimation and unknown inputs reconstruction for a class of nonlinear systems: multiobjective approach
Luleå tekniska universitet, Institutionen för system- och rymdteknik, Signaler och system.
Luleå tekniska universitet, Institutionen för system- och rymdteknik, Signaler och system.ORCID-id: 0000-0001-8893-4809
Université de Lorraine, CRAN-CNRS UMR 7039, IUT de Longwy, 186 Rue de Lorraine.
Luleå tekniska universitet, Institutionen för system- och rymdteknik, Signaler och system.ORCID-id: 0000-0002-0079-9049
2016 (engelsk)Inngår i: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 64, s. 1-7Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider a novel method to design H-infinity observers for a class of uncertain nonlinear systems subject to unknown inputs. First, the main system dynamics are rewritten as an augmented system with state vector including both the state vector of the main system and the unknown inputs. Then, we design a H-infinity reduced-order observer to estimate both state variables and unknown inputs simultaneously. Based on a Lyapunov functional, we derive a sufficient condition for existence of the designed observer which requires solving a nonlinear matrix inequality. To facilitate the observer design, the achieved condition is formulated in terms of a set of linear matrix inequalities (LMI). By extending the proposed method to a multiobjective optimization problem, the maximum bound of the uncertainty and the minimum value of the disturbance attenuation level are found. Finally, the proposed observer is illustrated with an example.

sted, utgiver, år, opplag, sider
2016. Vol. 64, s. 1-7
Emneord [en]
Information technology - Automatic control
Emneord [sv]
Informationsteknik - Reglerteknik
HSV kategori
Forskningsprogram
Reglerteknik
Identifikatorer
URN: urn:nbn:se:ltu:diva-3452DOI: 10.1016/j.automatica.2015.10.051ISI: 000368967000001Scopus ID: 2-s2.0-84951753244Lokal ID: 14661358-2de9-42eb-87e4-fc5c24c5d160OAI: oai:DiVA.org:ltu-3452DiVA, id: diva2:976310
Merknad
Validerad; 2015; Nivå 2; 20151027 (salsay)Tilgjengelig fra: 2016-09-29 Laget: 2016-09-29 Sist oppdatert: 2018-07-10bibliografisk kontrollert

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