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On a controller parameterization for infinite-dimensional feedback systems based on the desired overshoot

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dc.title On a controller parameterization for infinite-dimensional feedback systems based on the desired overshoot en
dc.contributor.author Pekař, Libor
dc.relation.ispartof WSEAS Transactions on Systems
dc.identifier.issn 1109-2777 Scopus Sources, Sherpa/RoMEO, JCR
dc.identifier.issn 2224-2678 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2013
utb.relation.volume 12
utb.relation.issue 6
dc.citation.spage 325
dc.citation.epage 335
dc.type article
dc.language.iso en
dc.publisher World Scientific and Engineering Academy and Society (WSEAS) en
dc.relation.uri http://www.wseas.org/multimedia/journals/systems/2013/045702-203.pdf
dc.subject Algebraic control design en
dc.subject Controller tuning en
dc.subject Desired overshoot en
dc.subject Infinite-dimensional systems en
dc.subject Optimization en
dc.subject Pole-assignment en
dc.subject Pole-shifting en
dc.subject Time delay systems en
dc.description.abstract The aim of this paper is to introduce, in detail, a novel approach for tuning of anisochronic singleinput single-output controllers for infinite-dimensional feedback control systems. A class of Linear Time- Invariant Time Delay Systems (LTI TDSs) is taken as a typical representative of infinite-dimensional systems. Control design to obtain the eventual controller structure is made in the special ring of quasipolynomial meromorphic functions (RMS). The use of this algebraic approach with a simple feedback loop for unstable or integrating systems leads to infinite-dimensional (delayed) controllers as well as the whole feedback loop. A natural task is to set tunable controller parameters in order to form the crucial area of the infinite closed-loop spectrum. It is worth noting that not only poles yet also zeros are taken into account. The prescribed positions of the right-most reference-to-output poles and zeros are given on the basis of the desired overshoot for a simple finite-dimensional matching model the detailed analysis of which is provided. The dominant poles and zeros are shifted to the prescribed positions using the Quasi-Continuous Shifting Algorithm (QCSA) followed by the use of an advanced optimization algorithm. The whole methodology is called the Pole-Placement Shifting based controller tuning Algorithm (PPSA). The PPSA is demonstrated on the setting of parameters of delayed controller for an unstable time delay plant of a skater on the controlled swaying bow. This example, however, shows a treachery of the algorithm and a natural feature of an infinite-dimensional system - namely, that its spectrum or even its dominant part can not be placed arbitrarily. Advantages and drawback as well as possible modification of the algorithm are also discussed. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1003484
utb.identifier.obdid 43869852
utb.identifier.scopus 2-s2.0-84884827202
utb.source j-scopus
dc.date.accessioned 2013-10-21T07:40:28Z
dc.date.available 2013-10-21T07:40:28Z
dc.rights Attribution 4.0 International
dc.rights.uri http://creativecommons.org/licenses/by/4.0/
dc.rights.access openAccess
utb.contributor.internalauthor Pekař, Libor
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