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Repetitive control using low order models
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.
1994 (English)In: Proceedings of 1994 American Control Conference: the Stouffer Harborplace Hotel, Baltimore, Maryland, June 29 - July 1, 1994, Piscataway, NJ: IEEE Communications Society, 1994, Vol. 2, p. 1873-1878Conference paper, Published paper (Refereed)
Abstract [en]

In repetitive control based on the internal model principle of Francis and Wonham (1976) much interest has been focused around the model comprising a time delay with a memoryless positive feedback around it. A definite merit of this model is that, when used in the closed loop, it will generate an arbitrary periodic signal. In discrete-time the model order increases proportionally to the rise in sampling rate, giving a high order model. The input (disturbance or reference) signal may however be concentrated to some frequencies rather than the whole band up to the Nyquist frequency. Then the model is too large in the sense that it models frequencies that are not present in the input. The inactive part of the model can produce oscillations in the closed loop. Oscillations can be reduced by introducing a lowpass filter (or Q-filter) in the feedback path of the model, but thereby the asymptotic zero error property is lost. A lower order model is shown to overcome this problem and feasibility illustrated by a simulation example.

Place, publisher, year, edition, pages
Piscataway, NJ: IEEE Communications Society, 1994. Vol. 2, p. 1873-1878
National Category
Control Engineering
Research subject
Control Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-29342DOI: 10.1109/ACC.1994.752398Scopus ID: 28592413Local ID: 2ca6d470-c509-11db-9ea3-000ea68e967bISBN: 0-7803-1783-1 (print)OAI: oai:DiVA.org:ltu-29342DiVA, id: diva2:1002565
Conference
American Control Conference : 29/06/1994 - 01/07/1994
Note

Godkänd; 1994; 20070225 (ysko)

Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2018-02-06Bibliographically approved

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