Robust Stabilization, Robust Performance, and Disturbance Attenuation for Uncertain Linear Systems

Abstract

This paper presents a linear quadratic regulator approach to the robust stabilization, robust performance, and disturbance attenuation of uncertain linear systems. The state-feedback designed systems provide both robust stability with optimal performance and disturbance attenuation with H infinity-norm bounds. The proposed approach can be applied to matched and/or mismatched uncertain linear systems. For a matched uncertain linear system, it is shown that the disturbance-attenuation robust-stabilizing controllers with or without optimal performance always exist and can be easily determined without searching; whereas, for a mismatched uncertain linear system, the introduced tuning parameters greatly enhance the flexibility of finding the disturbance- attenuation robust-stabilizing controllers. Control theory, Adaptive control, Robust control, Algorithms, Digital control, Multivariable systems

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADA271478

Entities

People

  • John W. Sunkel
  • Leang . Shieh
  • Yeih J. Wang

Organizations

  • University of Houston

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Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Attenuation
  • Classification
  • Closed Loop Systems
  • Control Systems Engineering
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Equations Of Motion
  • Feedback
  • Law
  • Linear Systems
  • Regulators
  • Resilience
  • Riccati Equation
  • Standards
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Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.