On the geometry of stability regions of Smith predictors subject to delay uncertainty
Identifieur interne : 005543 ( Main/Exploration ); précédent : 005542; suivant : 005544On the geometry of stability regions of Smith predictors subject to delay uncertainty
Auteurs : Constantin-Irinel Morrescu [Roumanie] ; Silviu-Iulian Niculescu [France] ; Keqin Gu [États-Unis]Source :
- IMA Journal of Mathematical Control and Information [ 0265-0754 ] ; 2006-11-20.
Abstract
In this paper, we present a geometric method for describing the effects of the delay-induced uncertainty on the stability of a standard Smith predictor control scheme. The method consists of deriving the stability crossing curves in the parameter space defined by the nominal delay and delay uncertainty, respectively. More precisely, we start by computing the crossing set, which consists of all frequencies corresponding to all points on the stability crossing curve, and next we give their complete classification, including also the explicit characterization of the directions in which the zeros cross the imaginary axis. This approach complements existing algebraic stability tests, and it allows some new insights in the stability analysis of such control schemes. Several illustrative examples are also included.
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DOI: 10.1093/imamci/dnl032
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The method consists of deriving the stability crossing curves in the parameter space defined by the nominal delay and delay uncertainty, respectively. More precisely, we start by computing the crossing set, which consists of all frequencies corresponding to all points on the stability crossing curve, and next we give their complete classification, including also the explicit characterization of the directions in which the zeros cross the imaginary axis. This approach complements existing algebraic stability tests, and it allows some new insights in the stability analysis of such control schemes. Several illustrative examples are also included.</div></front></TEI><affiliations><list><country><li>France</li><li>Roumanie</li><li>États-Unis</li></country><region><li>Illinois</li><li>Île-de-France</li></region><settlement><li>Gif-sur-Yvette</li></settlement></list><tree><country name="Roumanie"><noRegion><name sortKey="Morrescu, Constantin Irinel" sort="Morrescu, Constantin Irinel" uniqKey="Morrescu C" first="Constantin-Irinel" last="Morrescu">Constantin-Irinel Morrescu</name></noRegion><name sortKey="Morrescu, Constantin Irinel" sort="Morrescu, Constantin Irinel" uniqKey="Morrescu C" first="Constantin-Irinel" last="Morrescu">Constantin-Irinel Morrescu</name></country><country name="France"><region name="Île-de-France"><name sortKey="Niculescu, Silviu Iulian" sort="Niculescu, Silviu Iulian" uniqKey="Niculescu S" first="Silviu-Iulian" last="Niculescu">Silviu-Iulian Niculescu</name></region><name sortKey="Niculescu, Silviu Iulian" sort="Niculescu, Silviu Iulian" uniqKey="Niculescu S" first="Silviu-Iulian" last="Niculescu">Silviu-Iulian Niculescu</name></country><country name="États-Unis"><region name="Illinois"><name sortKey="Gu, Keqin" sort="Gu, Keqin" uniqKey="Gu K" first="Keqin" last="Gu">Keqin Gu</name></region><name sortKey="Gu, Keqin" sort="Gu, Keqin" uniqKey="Gu K" first="Keqin" last="Gu">Keqin Gu</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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