TY - GEN
T1 - Characterization of a complementary sensitivity property in feedback control
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
AU - Okano, Kunihisa
AU - Hara, Shinji
AU - Ishii, Hideaki
PY - 2008/12/1
Y1 - 2008/12/1
N2 - This paper addresses a characterization of a complementary sensitivity property in feedback control using an information theoretic approach. We derive an integral-type constraint of the complementary sensitivity function with respect to the unstable zeros of the open-loop transfer function. It is an analogue of Bodes integral formula for the sensitivity gain. To show the constraint, we first present a conservation law of the entropy and mutual information of signals in the feedback system. Then, we clarify the relation between the mutual information of a control signal and the unstable zeros of the open-loop transfer function.
AB - This paper addresses a characterization of a complementary sensitivity property in feedback control using an information theoretic approach. We derive an integral-type constraint of the complementary sensitivity function with respect to the unstable zeros of the open-loop transfer function. It is an analogue of Bodes integral formula for the sensitivity gain. To show the constraint, we first present a conservation law of the entropy and mutual information of signals in the feedback system. Then, we clarify the relation between the mutual information of a control signal and the unstable zeros of the open-loop transfer function.
KW - Control under communication constraints
UR - http://www.scopus.com/inward/record.url?scp=79961018933&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79961018933&partnerID=8YFLogxK
U2 - 10.3182/20080706-5-KR-1001.2733
DO - 10.3182/20080706-5-KR-1001.2733
M3 - Conference contribution
AN - SCOPUS:79961018933
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -