THE SENSITIVITY OF GENERAL MULTIVARIABLE FEEDBACK SYSTEMS,

Abstract

The new approach recently proposed by the authors for treating the parameter variation problem for a class of multivariable systems is extended to a general feedback configuration for multivariable systems. It is shown that the general linear, multivariable, feedback system can be represented by two plant transfer function matrices and three controller transfer function matrices. A formula for the sensitivity matrix of the general structure is derived. Also, sufficient conditions are obtained for assuring a feedback design that is less affected by parameter variations than another feedback design with the same overall transfer matrix. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1964
Accession Number
AD0604096

Entities

People

  • J. B. Cruz Jr.
  • W. R. Perkins

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Closed Loop Systems
  • Feedback
  • Sensitivity
  • Transfer Functions

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.