Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Boundary Observers for a Reaction-Diffusion System Under Time-Delayed and Sampled-Data Measurements
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control. Tel Aviv Univ, Sch Elect Engn, IL-6997801 Tel Aviv, Israel.
Tel Aviv Univ, Sch Elect Engn, IL-6997801 Tel Aviv, Israel..
2019 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 64, no 8, p. 3385-3390Article in journal (Refereed) Published
Abstract [en]

We construct finite-dimensional observers for a one-dimensional reaction-diffusion system with boundary measurements subject to time-delays and data sampling. The system has a finite number of unstable modes approximated by a Luenberger-type observer. The remaining modes vanish exponentially. For a given reaction coefficient, we show how many modes one should use to achieve a desired rate of convergence. The finite-dimensional part is analyzed using appropriate Lyapunov-Krasovskii functionals that lead to linear matrix inequalitie (LMI)-based convergence conditions feasible for small enough time-delay and sampling period. The LMIs can be used to find appropriate injection gains.

Place, publisher, year, edition, pages
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC , 2019. Vol. 64, no 8, p. 3385-3390
Keywords [en]
Boundary measurements, data sampling, observers, partial differential equations, time-delays
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-257562DOI: 10.1109/TAC.2018.2877381ISI: 000478694300027Scopus ID: 2-s2.0-85055183966OAI: oai:DiVA.org:kth-257562DiVA, id: diva2:1353591
Note

QC 20190923

Available from: 2019-09-23 Created: 2019-09-23 Last updated: 2019-09-23Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Selivanov, Anton
By organisation
Automatic Control
In the same journal
IEEE Transactions on Automatic Control
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf