TY - GEN
T1 - Chaotic disturbance rejection and Bode limitation
AU - Jonckheere, Edmond A.
AU - Wu, Bing-Fei
PY - 1992/12/1
Y1 - 1992/12/1
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. This answer is that it is not possible to reduce the Kolmogorov-Sinai entropy by linear, stationary feedback if the open loop system is stable. In general, the Shannon entropy rate can't be decreased 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. This answer is that it is not possible to reduce the Kolmogorov-Sinai entropy by linear, stationary feedback if the open loop system is stable. In general, the Shannon entropy rate can't be decreased because of the Bode limitation.
UR - http://www.scopus.com/inward/record.url?scp=0026989516&partnerID=8YFLogxK
U2 - 10.23919/ACC.1992.4792530
DO - 10.23919/ACC.1992.4792530
M3 - Conference contribution
AN - SCOPUS:0026989516
SN - 0780302109
T3 - Proceedings of the American Control Conference
SP - 2227
EP - 2231
BT - Proceedings of the American Control Conference
PB - Publ by American Automatic Control Council
Y2 - 24 June 1992 through 26 June 1992
ER -