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H∞ observer design for uncertain discrete-time nonlinear delay systems: LMI optimization 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: 0000-0002-0079-9049
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0001-8893-4809
2012 (English)In: 2012 20th Mediterranean Conference on Control & Automation (MED), Piscataway, NJ: IEEE Communications Society, 2012, p. 592-597Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we present a robust H∞ observer for a class of nonlinear and uncertain time-delayed systems. To design the proposed observer, the time delay does not have to be exactly known. With knowledge about upper and lower bound of the delay term, we can design an H∞ observer that guarantees asymptotic stability of the estimation error dynamics and is robust against time-varying parametric uncertainties. We show that the described problem can be solved in terms of linear matrix inequalities (LMIs). In addition, the admissible Lipschitz constant of the system is maximized and the disturbance attenuation level is minimized through convex multi-objective optimization. Finally, the proposed observer is illustrated with an example.

Place, publisher, year, edition, pages
Piscataway, NJ: IEEE Communications Society, 2012. p. 592-597
National Category
Control Engineering
Research subject
Control Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-35377DOI: 10.1109/MED.2012.6265702Scopus ID: 2-s2.0-84866948004Local ID: 9e452205-bf70-4679-89c4-b0f0541aa5a6ISBN: 978-1-4673-2530-1 (print)ISBN: 978-1-4673-2529-5 (electronic)OAI: oai:DiVA.org:ltu-35377DiVA, id: diva2:1008630
Conference
Mediterranean Conference on Control and Automation : 03/07/2012 - 06/07/2012
Note
Godkänd; 2012; 20120921 (andbra)Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2018-07-10Bibliographically approved

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Sayyaddelshad, SalehGustafsson, ThomasJohansson, Andreas

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Citation style
  • apa
  • harvard1
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