Comparison of Riemann and Lebesgue sampling for first order stochastic systems

The normal approach to digital control is to sample periodically in time. Using an analog of integration theory we can call this Riemann sampling. Lebesgue sampling or event based sampling is an alternative to Riemann sampling. It means that signals are sampled only when measurements pass certain li...

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Bibliographic Details
Published inProceedings of the 41st IEEE Conference on Decision and Control, 2002 Vol. 2; pp. 2011 - 2016 vol.2
Main Authors Astrom, K.J., Bernhardsson, B.M.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2002
Subjects
Biological control systems
Closed loop systems
Control systems
Digital control
Extraterrestrial measurements
Feedback
Mathematics
Sampling methods
Signal sampling
Stochastic systems
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ISBN0780375165
9780780375161
ISSN0191-2216
DOI10.1109/CDC.2002.1184824

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Summary:The normal approach to digital control is to sample periodically in time. Using an analog of integration theory we can call this Riemann sampling. Lebesgue sampling or event based sampling is an alternative to Riemann sampling. It means that signals are sampled only when measurements pass certain limits. In this paper it is shown that Lebesgue sampling gives better performance for some simple systems.
ISBN:0780375165
9780780375161
ISSN:0191-2216
DOI:10.1109/CDC.2002.1184824