Chaotic disturbance rejection a Kolmogorov-Sinai entropy approach

E.A. Jonckheere,Bing-Fei Wu Bing-Fei Wu,A.A. Hammad

doi:10.1109/cdc.1993.325885

Chaotic disturbance rejection a Kolmogorov-Sinai entropy approach

E.A. Jonckheere, Bing-Fei Wu Bing-Fei Wu

https://doi.org/10.1109/cdc.1993.325885

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Publication Date: Dec 15, 1993

Citations: 12

Affiliation: National Yang Ming Chiao Tung University, University of Southern California

#External Disturbance Signal #Kolmogorov-Sinai Entropy + Show 8 more

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Abstract

This paper deals with disturbance rejection, when the external disturbance signal is a chaotic process. The authors 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 entropy to 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.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>

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