Sensitivity Reduction Over a Frequency Band,

Abstract

This paper considers the problem of reducing the sensitivity of a possibly infinite dimensional linear single-input single-output system over a finite frequency interval by feedback. Specifically the following are proven: (i) if one wants to bound the overall sensitivity, the existence of a nontrivial inner part inhibits the reduction of the sensitivity over the interval: (ii) in a system that is continuous and has at most countably many zeros on the imaginary axis, one can reduce the sensitivity over the interval arbitrarily small while the overall sensitivity is kept bounded if and only if the system is outer and has no zeros on the interval. These extend results for rational transfer functions.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1987
Accession Number
ADA189123

Entities

People

  • Gilead Tadmor
  • Sanjoy K. Mitter
  • Yoshito Ohta

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Banach Space
  • Classification
  • Closed Loop Systems
  • Compensators
  • Engineering
  • Feedback
  • Frequency
  • Frequency Bands
  • Frequency Domain
  • Intervals
  • Massachusetts
  • Security
  • Sensitivity
  • Sequences
  • Transfer Functions

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra
  • Mathematical Modeling and Probability Theory.