Analysis of Implicit Uncertain Systems. Part 2: Constant Matrix Problems and Application to Robust H2 Analysis

Abstract

This paper introduces an implicit framework for the analysis of uncertain systems of which the general properties were described in Part 1. In Part 2 the theory is specialized to problems which admit a finite dimensional formulation. A constant matrix version of implicit analysis is presented, leading to a generalization of the structured singular value microns as the stability measure; upper bounds are developed and analyzed in detail. An application of this framework results in a practical method for robust H2 analysis: computing robust performance in the presence of norm-bounded perturbations and white- noise disturbances.

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Document Details

Document Type
Technical Report
Publication Date
Dec 08, 1994
Accession Number
ADA464793

Entities

People

  • Fernando Paganini

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Autocorrelation
  • Boundaries
  • Closed Loop Systems
  • Computational Complexity
  • Computations
  • Eigenvalues
  • Electrical Engineering
  • Ellipsoids
  • Equations
  • Equations Of State
  • Frequency
  • Frequency Bands
  • Frequency Domain
  • Standards
  • Validation
  • Vector Spaces
  • White Noise

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)