On the geometry of stability regions of Smith predictors subject to delay uncertainty

On the geometry of stability regions of Smith predictors subject to delay uncertainty

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 u...

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Veröffentlicht in:IMA journal of mathematical control and information 2007-09, Vol.24 (3), p.411-423
Hauptverfasser: Mor rescu, Constantin-Irinel, Niculescu, Silviu-Iulian, Gu, Keqin
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Computer Science
delay stability
robustness
Smith predictor
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container_title IMA journal of mathematical control and information
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creator Mor rescu, Constantin-Irinel
Niculescu, Silviu-Iulian
Gu, Keqin
description 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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source Oxford University Press Journals All Titles (1996-Current)
subjects Computer Science
delay stability
robustness
Smith predictor
title On the geometry of stability regions of Smith predictors subject to delay uncertainty
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