Robust Control of Uncertain Nonlinear Systems

Abstract

Several new results were obtained extending standard analysis techniques to Linear Fractional Transformations (LFT) using Structured Singular Value, Micron, and Linear Matrix Inequalities (LMI) in solving LFT problems. LFTs and LMIs play a very important role in postmodern control theory by providing a framework that unifies many concepts and generalizes transfer functions and their state-space realizations to include uncertainty. Doyle, Zhou, and Packard (1991) reviews known results on robust stability and performance and establishes a common and unified framework for the companion papers, which consider generalizations and extensions of balanced realizations and model reduction (Wang, Doyle, Beck, and Glover, 1991), stabilization (Lu, Zhou, and Doyle, 1991), optimal control (Packard, Zhou, Pandey, and Becker, 1991), mixed real/complex micron (Young, Newlin and Doyle, 1991), model validation (Newlin and Smith, 1991), and LMI computation (Beck, 1991)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADA268056

Entities

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Case Studies
  • Computations
  • Congress
  • Control Systems
  • Control Theory
  • Electrical Engineering
  • Engineering
  • Flexible Structures
  • Identification
  • Large Space Structures
  • Nonlinear Systems
  • Standards
  • Transfer Functions
  • Uncertainty
  • Validation

Readers

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

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers