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 Bode's integral formula for the sensitivity gain. To show the constraint, we first show a conservation law of the entropy and mutual information of signals in the feedback system. Then, we clarify the relationship between the mutual information of control signals and the unstable zeros of the open-loop transfer function.
| Original language | English |
|---|---|
| Pages (from-to) | 504-509 |
| Number of pages | 6 |
| Journal | Automatica |
| Volume | 45 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Feb 2009 |
| Externally published | Yes |
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Keywords
- Complementary sensitivity functions
- Control system analysis
- Fundamental limitation
- Information theory
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering
Cite this
Characterization of a complementary sensitivity property in feedback control : An information theoretic approach. / Okano, Kunihisa; Hara, Shinji; Ishii, Hideaki.
In: Automatica, Vol. 45, No. 2, 02.2009, p. 504-509.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Characterization of a complementary sensitivity property in feedback control
T2 - An information theoretic approach
AU - Okano, Kunihisa
AU - Hara, Shinji
AU - Ishii, Hideaki
PY - 2009/2
Y1 - 2009/2
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 Bode's integral formula for the sensitivity gain. To show the constraint, we first show a conservation law of the entropy and mutual information of signals in the feedback system. Then, we clarify the relationship between the mutual information of control signals 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 Bode's integral formula for the sensitivity gain. To show the constraint, we first show a conservation law of the entropy and mutual information of signals in the feedback system. Then, we clarify the relationship between the mutual information of control signals and the unstable zeros of the open-loop transfer function.
KW - Complementary sensitivity functions
KW - Control system analysis
KW - Fundamental limitation
KW - Information theory
UR - http://www.scopus.com/inward/record.url?scp=58349114678&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=58349114678&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2008.08.011
DO - 10.1016/j.automatica.2008.08.011
M3 - Article
AN - SCOPUS:58349114678
VL - 45
SP - 504
EP - 509
JO - Automatica
JF - Automatica
SN - 0005-1098
IS - 2
ER -