Abstract
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.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC |
| Volume | 17 |
| Edition | 1 PART 1 |
| DOIs | |
| Publication status | Published - 2008 |
| Externally published | Yes |
| Event | 17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of Duration: Jul 6 2008 → Jul 11 2008 |
Other
| Other | 17th World Congress, International Federation of Automatic Control, IFAC |
|---|---|
| Country | Korea, Republic of |
| City | Seoul |
| Period | 7/6/08 → 7/11/08 |
Fingerprint
Keywords
- Control under communication constraints
ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
Characterization of a complementary sensitivity property in feedback control : An information theoret. / Okano, Kunihisa; Hara, Shinji; Ishii, Hideaki.
Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. Vol. 17 1 PART 1. ed. 2008.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Characterization of a complementary sensitivity property in feedback control
T2 - An information theoret
AU - Okano, Kunihisa
AU - Hara, Shinji
AU - Ishii, Hideaki
PY - 2008
Y1 - 2008
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
VL - 17
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
ER -