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Finite-dimensional hybrid observer for delayed impulsive model of testosterone regulation
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.
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.
2015 (English)In: Mathematical problems in engineering (Print), ISSN 1024-123X, E-ISSN 1563-5147, Vol. 2015, 190463:1-12 p., 190463Article in journal (Refereed) Published
Resource type
Text
Place, publisher, year, edition, pages
2015. Vol. 2015, 190463:1-12 p., 190463
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:uu:diva-270002DOI: 10.1155/2015/190463ISI: 000365229600001OAI: oai:DiVA.org:uu-270002DiVA: diva2:885575
Available from: 2015-12-19 Created: 2015-12-19 Last updated: 2017-12-01Bibliographically approved
In thesis
1. Hybrid observers for systems with intrinsic pulse-modulated feedback
Open this publication in new window or tab >>Hybrid observers for systems with intrinsic pulse-modulated feedback
2017 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

This licentiate thesis deals with a special class of hybrid systems, where the continuous linear part is controlled by an intrinsic impulsive feedback that contributes discrete dynamics. The impacting pulsatile feedback signal is not available for measurement and, therefore, has to be reconstructed. To estimate all the elements of the hybrid state vector, an observation problem is considered.

The motivation for the research performed in this thesis comes from mathematical modelling of pulsatile endocrine regulation, where one of the hormones (a releasing hormone) is secreted in pulses from neurons in the hypothalamus of the brain. Thus a direct measurement of the concentration of this hormone in the human is not possible for ethical reasons and has to be estimated.

Several hybrid observer structures are proposed and evaluated. The observer design is reduced to a problem of synchronizing the impulsive sequence produced by the observer with that of the plant. It utilizes a local approach of assigning, through the output error feedback in both the discrete and continuous parts of the plant model, a guaranteed convergence rate to the local dynamics of a synchronous mode. Performance of the proposed observer schemes is analyzed by means of pointwise discrete (Poincaré) maps.

The first two papers of the thesis address the effects of observer design degrees of freedom on the convergence of the hybrid state estimation error. A generalization of the proposed observation scheme to hybrid impulsive systems with a time delay in continuous part of the plant is investigated in Paper III and Paper IV.

Place, publisher, year, edition, pages
Uppsala University, 2017
Series
Information technology licentiate theses: Licentiate theses from the Department of Information Technology, ISSN 1404-5117 ; 2017-001
National Category
Control Engineering
Research subject
Electrical Engineering with specialization in Automatic Control
Identifiers
urn:nbn:se:uu:diva-316058 (URN)
Supervisors
Available from: 2017-02-10 Created: 2017-02-23 Last updated: 2017-02-23Bibliographically approved

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Yamalova, DianaMedvedev, Alexander

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