On the geometry of stability regions of Smith predictors subject to delay uncertainty
Identifieur interne : 002674 ( Istex/Curation ); précédent : 002673; suivant : 002675On 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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wicri:level="1"><mods:affiliation>Department of Mechanical and Industrial Engineering, Southern Illinois University at Edwardsville, Edwardsville, IL 62026-1805, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mechanical and Industrial Engineering, Southern Illinois University at Edwardsville, Edwardsville, IL 62026-1805</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: kgu@siue.edu</mods:affiliation><country wicri:rule="url">États-Unis</country></affiliation></author></analytic><monogr></monogr><series><title level="j">IMA Journal of Mathematical Control and Information</title><idno type="ISSN">0265-0754</idno><idno type="eISSN">1471-6887</idno><imprint><publisher>Oxford University Press</publisher><date type="published" when="2006-11-20">2006-11-20</date><biblScope unit="volume">24</biblScope><biblScope unit="issue">3</biblScope><biblScope unit="page" from="411">411</biblScope><biblScope unit="page" 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