An Operator-Theoretic Approach to the Mixed-Sensitivity Minimization Problem

Abstract

In this paper, we consider the mixed-sensitivity minimization problem (scalar case). It gives rise to the so-called two-block problem on the algebra H(oo); we analyze this problem from an operator point of view, using Krein space theory. We obtain a necessary and sufficient condition for the uniqueness of the solution and a parameterization of all solutions in the non-uniqueness case. Moreover, an interpolation interpretation is given for the finite-dimensional case.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1987
Accession Number
ADA459632

Entities

People

  • Fabio Fagnani

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Algebra
  • Algorithms
  • Analytic Functions
  • Banach Space
  • Closed Loop Systems
  • Control Systems
  • Control Theory
  • Electrical Engineering
  • Engineering
  • Feedback
  • Harmonic Analysis
  • Hilbert Space
  • Integral Equations
  • Interpolation
  • Sensitivity
  • Transfer Functions
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra
  • Operations Research

Technology Areas

  • Space