Robust Adaptive Control: Stability and Asymptotic Performance

Abstract

Systems containing both compact real parametric uncertainty and frequency-weighted bounded operator uncertainty are addressed. It is shown that any parameter adaptive control system is robustly stable provided only that: (1) the unknown parameters lie in a known compact convex set, (2) the control design rule is lipschitzian, (3) the control design rule would produce a robust controller if given perfect parameter information, and (4) a specified robust parameter estimation algorithm is applied in lieu of perfect parameter information. It is also shown that the asymptotic robust performance level may be arbitrarily close to that of the non-adaptive design which would result from perfect parameter information. Keywords: Mathematical matrices; Robust adaptor control; Asymptotic robust performance.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1990
Accession Number
ADA219259

Entities

People

  • Gunter Stein
  • James M. Krause
  • Pramod P. Khargonekar

Organizations

  • Honeywell International, Inc.

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Adaptive Control Systems
  • Adaptive Systems
  • Air Force
  • Air Force Facilities
  • Automatic
  • Closed Loop Systems
  • Control Systems
  • Control Theory
  • Convex Sets
  • Dynamics
  • Electrical Engineering
  • Engineering
  • Feedback
  • Frequency
  • Frequency Domain
  • Transfer Functions

Readers

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