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Robust state estimation and unknown inputs reconstruction for a class of nonlinear systems: multiobjective approach
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0001-8893-4809
Université de Lorraine, CRAN-CNRS UMR 7039, IUT de Longwy, 186 Rue de Lorraine.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0002-0079-9049
2016 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 64, p. 1-7Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
2016. Vol. 64, p. 1-7
Keywords [en]
Information technology - Automatic control
Keywords [sv]
Informationsteknik - Reglerteknik
National Category
Control Engineering
Research subject
Control Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-3452DOI: 10.1016/j.automatica.2015.10.051ISI: 000368967000001Scopus ID: 2-s2.0-84951753244Local ID: 14661358-2de9-42eb-87e4-fc5c24c5d160OAI: oai:DiVA.org:ltu-3452DiVA, id: diva2:976310
Note
Validerad; 2015; Nivå 2; 20151027 (salsay)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Sayyaddelshad, SalehJohansson, AndreasGustafsson, Thomas

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