Chaotic disturbance rejection a Kolmogorov-Sinai entropy approach

Author

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

Author_Institution

Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA

fYear

1993

fDate

15-17 Dec 1993

Firstpage

3578

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

Keywords

chaos; closed loop systems; entropy; feedback; stochastic processes; Bode limitation; Kolmogorov-Sinai entropy approach; Shannon entropy rate; chaotic disturbance rejection; chaotic process; closed loop measure preserving system; external disturbance signal; stochastic process; Chaos; Character generation; Density measurement; Entropy; Extraterrestrial measurements; Feedback loop; Phase measurement; Signal processing; Stochastic processes; Stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325885

Filename

325885