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Continuous-, discrete- and sampled-data- H∞ˆž control - a unified framework
University West, Department of Engineering Science, Division of Automation and Computer Engineering.ORCID iD: 0000-0001-5608-8636
Chalmers University of Technology, Control Engineering Lab, SE-41 2 96 Goteborg, Sweden .
Åbo Akademi University, Department of Chemical Engineering, FIN-20500 Abo, Finland .
2000 (English)In: IEEE Proceedings: Conference on Decision and Control (CDC), ISSN 0191-2216, Vol. 2, 1936-1941 p.Article in journal (Refereed) Published
Abstract [en]

We present a unified and general framework for H∞-control in both continuous time, discrete time and combinations of these. The general result is a hybrid continuous-/discrete-time H∞ˆž-controller. Using a compact hybrid notation, the work shows a close relationship between the continuous-and discrete-time solutions. In fact, the pure continuous and discrete time equations may be obtained as two similar interpretations of the general result. There are no assumptions made on certain system matrices being zero or normalised, e.g. D11 = 0. The method is Riccati equation (RE) based, and it is shown how the continuous REs can be "lifted" into discrete ones reflecting the system behaviour during the period. Typical applications are control of continuous-time or discrete-time periodic systems, as well as multirate and sampled-data control, including mixed continuous and sampled-data measurements.

Place, publisher, year, edition, pages
2000. Vol. 2, 1936-1941 p.
Keyword [en]
Control system synthesis; Discrete time control systems; Feedback; Matrix algebra; Riccati equations; Sampled data control systems; Time varying systems, Discrete time periodic systems; Hold-states; Output feedback, Optimal control systems
National Category
Control Engineering
Research subject
ENGINEERING, Manufacturing and materials engineering
Identifiers
URN: urn:nbn:se:hv:diva-7882DOI: 10.1109/CDC.2000.912146Scopus ID: 2-s2.0-0034438726OAI: oai:DiVA.org:hv-7882DiVA: diva2:845774
Conference
Conference of 39th IEEE Confernce on Decision and Control ; Conference Date: 12 December 2000 Through 15 December 2000; Conference Code:58277
Available from: 2015-08-13 Created: 2015-08-12 Last updated: 2015-08-13Bibliographically approved

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CiteExportLink to record
Permanent link

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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
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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