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H∞ observer design for uncertain nonlinear discrete-time systems with time-delay: 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
2015 (English)In: International Journal of Robust and Nonlinear Control, ISSN 1049-8923, E-ISSN 1099-1239, Vol. 25, no 10, p. 1514-1527Article in journal (Refereed) Published
Abstract [en]

We present a robust H∞ observer for a class of nonlinear discrete-time systems. The class under study includes an unknown time-varying delay limited by upper and lower bounds, as well as time-varying para- metric uncertainties. We design a nonlinear H∞ observer, by using the upper and lower bounds of the delay, that guarantees asymptotic stability of the estimation error dynamics and is also robust against time-varying parametric uncertainties. The described problem is converted to a standard optimization problem, which can be solved in terms of linear matrix inequalities (LMIs). Then, we expand the problem to a multi-objective optimization problem in which the maximum admissible Lipschitz constant and the minimum disturbance attenuation level are the problem objectives. Finally, the proposed observer is illustrated with two examples.

Place, publisher, year, edition, pages
2015. Vol. 25, no 10, p. 1514-1527
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-11991DOI: 10.1002/rnc.3155ISI: 000354641300006Scopus ID: 2-s2.0-84929505784Local ID: b0cf01f3-be06-4f01-91cd-3841e51476a9OAI: oai:DiVA.org:ltu-11991DiVA, id: diva2:984941
Note
Validerad; 2015; Nivå 2; 20140205 (tgu)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Sayyaddelshad, SalehGustafsson, Thomas

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
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  • nn-NB
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  • Other locale
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Output format
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