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H∞ filter design for state estimation and unknown inputs reconstruction of a class of nonlinear systems
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.
Université de Lorraine.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0002-0079-9049
2014 (English)In: 19th IFAC World Congress on International Federation of Automatic Control: IFAC 2014, Cape Town, South Africa 24 - 29 August 2014, 2014, 61-66 p.Conference paper, Published paper (Refereed)
Abstract [en]

We consider a novel method to design a H∞ filter for a class of nonlinear systems subject to unknown inputs. First, we rewrite the system dynamics as a descriptor system. Then, we design a robust H∞ reduced-order filter to estimate both state variables and unknown inputs at the same time. Based on a Lyapunov functional, we derive a sufficient condition for existence of the designed filter which requires solving a nonlinear matrix inequality. The achieved condition is further formulated in terms of a linear matrix inequality (LMI) that is straightforward to solve by popular methods. Finally, the proposed filter is illustrated with an example.

Place, publisher, year, edition, pages
2014. 61-66 p.
Series
IFAC proceedings series, ISSN 0741-1146 ; 47:3
National Category
Control Engineering
Research subject
Control Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-35562DOI: 10.3182/20140824-6-ZA-1003.02363Local ID: a22bed4f-a498-4c94-affa-9ae1ac1fb551OAI: oai:DiVA.org:ltu-35562DiVA: diva2:1008815
Conference
IFAC World Congress : 25/08/2014 - 29/08/2014
Note
Godkänd; 2014; 20140401 (tgu)Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2017-11-25Bibliographically approved

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Sayyaddelshad, SalehJohansson, AndreasGustafsson, Thomas
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CiteExportLink to record
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