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
Edition1 PART 1
DOIs
Publication statusPublished - Dec 1 2008
Externally publishedYes
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: Jul 6 2008Jul 11 2008

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume17
ISSN (Print)1474-6670

Other

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

Keywords

  • Control under communication constraints

ASJC Scopus subject areas

  • Control and Systems Engineering

Fingerprint Dive into the research topics of 'Characterization of a complementary sensitivity property in feedback control: An information theoret'. Together they form a unique fingerprint.

  • 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.). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1). https://doi.org/10.3182/20080706-5-KR-1001.2733