Title: On the delay sensitivity of Smith Predictors
Authors: Michiels, Wim ×
Niculescu, SI #
Issue Date: Jul-2003
Publisher: Taylor & francis ltd
Series Title: International journal of systems science vol:34 issue:8-9 pages:543-551
Abstract: It is well known that the stability of the Smith Predictor control scheme is sensitive with respect to delay uncertainties. We analysed the effect of delay mismatches on the closed-loop stability and derived various stability/instability characterizations. Thereby, it was assumed that the desired closed-loop transfer function was proper but not necessarily strictly proper. This may induce a sensitivity of stability with respect to infinitesimal delay mismatches and make the scheme practically unstable. We explained the instability mechanism and derived the necessary and sufficient robustness conditions using two different approaches. Under the assumption of practical stability, we then characterized the maximal delay mismatch such that stability was maintained and discussed a numerical example. Both SISO and MIMO systems are considered.
ISSN: 0020-7721
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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