Chaotic disturbance rejection a Kolmogorov-Sinai entropy approach

Edmond A. Jonckheere*, Ayman A. Hammad, Bing-Fei Wu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

9 Scopus citations

Abstract

This paper deals with disturbance rejection, when the external disturbance signal is a chaotic process. We measure the amount of chaos by the Kolmogorov-Sinai entropy. The natural question is the extent to which the Kolmogorov-Sinai entropy is reduced by means of a feedback. The answer is that it is not possible to reduce the Kolmogorov-Sinai entis a measure feedback if the closed loop measure preserving, i.e., conservative, system is stable and minimum phase. Moreover, if the external disturbance signal is a stochastic process, then, in general, the Shannon entropy rate does not decrease because of the Bode limitation.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages3578-3583
Number of pages6
ISBN (Print)0780312988
DOIs
StatePublished - 1 Dec 1993
EventProceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4) - San Antonio, TX, USA
Duration: 15 Dec 199317 Dec 1993

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume4
ISSN (Print)0191-2216

Conference

ConferenceProceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4)
CitySan Antonio, TX, USA
Period15/12/9317/12/93

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