TY - GEN

T1 - Chaotic disturbance rejection a Kolmogorov-Sinai entropy approach

AU - Jonckheere, Edmond A.

AU - Hammad, Ayman A.

AU - Wu, Bing-Fei

PY - 1993/12/1

Y1 - 1993/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0027841257&partnerID=8YFLogxK

U2 - 10.1109/CDC.1993.325885

DO - 10.1109/CDC.1993.325885

M3 - Conference contribution

AN - SCOPUS:0027841257

SN - 0780312988

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3578

EP - 3583

BT - Proceedings of the IEEE Conference on Decision and Control

PB - Publ by IEEE

Y2 - 15 December 1993 through 17 December 1993

ER -