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 proceedingConference 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 languageEnglish
Title of host publicationProceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Volume17
Edition1 PART 1
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: Jul 6 2008Jul 11 2008

Other

Other17th World Congress, International Federation of Automatic Control, IFAC
CountryKorea, Republic of
CitySeoul
Period7/6/087/11/08

Fingerprint

Feedback control
Transfer functions
Conservation
Entropy
Feedback

Keywords

  • Control under communication constraints

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

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., Vol. 17) 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. Vol. 17 1 PART 1. ed. 2008.

Research output: Chapter in Book/Report/Conference proceedingConference 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, 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
Okano K, Hara S, Ishii H. 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. Vol. 17. 2008 https://doi.org/10.3182/20080706-5-KR-1001.2733
Okano, Kunihisa ; Hara, Shinji ; Ishii, Hideaki. / Characterization of a complementary sensitivity property in feedback control : An information theoret. Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. Vol. 17 1 PART 1. ed. 2008.
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