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

Kunihisa Okano, Shinji Hara, Hideaki Ishii

Research output: Contribution to journalArticle

24 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 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 languageEnglish
Pages (from-to)504-509
Number of pages6
JournalAutomatica
Volume45
Issue number2
DOIs
Publication statusPublished - Feb 1 2009
Externally publishedYes

Keywords

  • Complementary sensitivity functions
  • Control system analysis
  • Fundamental limitation
  • Information theory

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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