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Robustification of the synchronous mode in a hybrid observer for a continuous system under an intrinsic pulse-modulated feedback
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.ORCID iD: 0000-0002-9956-947X
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.ORCID iD: 0000-0002-6608-250x
2018 (English)In: Proc. 16th European Control Conference, IEEE, 2018, p. 107-112Conference paper, Published paper (Refereed)
Abstract [en]

The paper deals with a hybrid observer for an oscillating system composed of a linear continuous chain structure controlled by an intrinsic pulse-modulated feedback. The observed plant portrays a biochemical system under pulsatile regulation, e.g. an impulsive mathematical model of endocrine regulation. The observer reconstructs the continuous states of the model from only from the continuous system output and no measurements of the discrete part of the plant, i.e. the timing of the feedback firing events, are available. The problem of enlarging the basin of attraction of a synchronous observer mode that corresponds to a zero solution of the hybrid observer error is considered. It is demonstrated that the asymmetricity of the basin of attraction in the case of a static observer gain leads to a slow observer convergence and can be effectively alleviated through the introduction of a dynamical feedback.

Place, publisher, year, edition, pages
IEEE, 2018. p. 107-112
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:uu:diva-354827ISBN: 978-3-9524-2699-9 OAI: oai:DiVA.org:uu-354827DiVA, id: diva2:1222783
Conference
ECC 2018, June 12–15, Limassol, Cyprus
Funder
Swedish Research Council, 2015-05256Available from: 2018-06-22 Created: 2018-06-22 Last updated: 2018-06-28Bibliographically approved

Open Access in DiVA

The full text will be freely available from 2027-12-28 14:23
Available from 2027-12-28 14:23

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Yamalova, DianaMedvedev, Alexander

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