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Algebraic control of unstable delayed first order systems using RQ-meromorphic functions

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dc.title Algebraic control of unstable delayed first order systems using RQ-meromorphic functions en
dc.contributor.author Pekař, Libor
dc.contributor.author Prokop, Roman
dc.contributor.author Matušů, Radek
dc.relation.ispartof 2007 Mediterranean Conference on Control & Automation, Vols 1-4
dc.identifier.isbn 978-1-4244-1281-5
dc.date.issued 2007
dc.citation.spage 742
dc.citation.epage 747
dc.event.title 15th Mediterranean Conference on Control and Automation
dc.event.location Athens
utb.event.state-en Greece
utb.event.state-cs Řecko
dc.event.sdate 2007-06-27
dc.event.edate 2007-06-29
dc.type conferenceObject
dc.language.iso en
dc.publisher The Institute of Electrical and Electronics Engineers (IEEE) en
dc.identifier.doi 10.1109/MED.2007.4433754
dc.relation.uri http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4433754
dc.subject stabilization en
dc.subject delayed systems en
dc.subject algebraic control design en
dc.description.abstract The paper is focused on control of first order unstable delayed systems. The control design is performed in the R(MS) ring of retarded quasipolynomial (RQ) meromorphic functions. Unstable systems are modeled in anisochromic philosophy as a ratio of quasipolynomials where also denominator contains delay terms. ne goal is to find a suitable stable quasipolynomial as a common denominator of R(MS), terms. This task is equivalent to the stabilization of a plant by a proportional controller in a feedback loop. Then, the appropriate controller can be found. In this paper, an algebraic method based on the solution of the Bezout equation with Youla-Kucera parameterization is presented. Besides the simple feedback loop, significant improvement using two-degrees of freedom structure is demonstrated. The method offers a real positive real parameter m(0) which defines closed loop poles placement. The modified "equalization method" for determining of m(0) can be applied. An example illustrates the proposed methodology, properties and benchmarking of all principles. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1001939
utb.identifier.obdid 15553000
utb.identifier.scopus 2-s2.0-50249181736
utb.identifier.wok 000257100800129
utb.source d-wok
dc.date.accessioned 2011-08-09T07:34:16Z
dc.date.available 2011-08-09T07:34:16Z
utb.contributor.internalauthor Pekař, Libor
utb.contributor.internalauthor Prokop, Roman
utb.contributor.internalauthor Matušů, Radek
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