Characterization of a complementary sensitivity property in feedback control: An information theoret

Kunihisa Okano; Shinji Hara; Hideaki Ishii

doi:10.3182/20080706-5-KR-1001.2733

Characterization of a complementary sensitivity property in feedback control: An information theoret

Kunihisa Okano, Shinji Hara, Hideaki Ishii

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Citations (Scopus)

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
Edition	1 PART 1
DOIs	https://doi.org/10.3182/20080706-5-KR-1001.2733
Publication status	Published - Dec 1 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

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1 PART 1
Volume	17
ISSN (Print)	1474-6670

Other

Other	17th World Congress, International Federation of Automatic Control, IFAC
Country	Korea, Republic of
City	Seoul
Period	7/6/08 → 7/11/08

Keywords

Control under communication constraints

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.3182/20080706-5-KR-1001.2733

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Okano, K., Hara, S., & Ishii, H. (2008). Characterization of a complementary sensitivity property in feedback control: An information theoret. In Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC (1 PART 1 ed.). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1). https://doi.org/10.3182/20080706-5-KR-1001.2733

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. 1 PART 1. ed. 2008. (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Okano, K, Hara, S & Ishii, H 2008, Characterization of a complementary sensitivity property in feedback control: An information theoret. in Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 1 PART 1, vol. 17, 17th World Congress, International Federation of Automatic Control, IFAC, Seoul, Korea, Republic of, 7/6/08. https://doi.org/10.3182/20080706-5-KR-1001.2733

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