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Uncertain Models and Robust Control

  • Book
  • © 1991

Overview

Authors:
  1. Alexander Weinmann

    1. Department of Electrical Engineering, Technical University Vienna, Austria

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Table of contents (38 chapters)

  1. Front Matter

    Pages i-28
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  2. Introduction

    1. Front Matter

      Pages 29-29
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    2. Introductory Survey

      • Alexander Weinmann
      Pages 31-43

    3. Vector Norm. Matrix Norm. Matrix Measure

      • Alexander Weinmann
      Pages 45-62

    4. Functional Analysis, Function Norms and Control Signals

      • Alexander Weinmann
      Pages 63-70

  3. Differential Sensitivity. Small-Scale Perturbation

    1. Front Matter

      Pages 71-71
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    2. Kronecker Calculus in Control Theory

      • Alexander Weinmann
      Pages 73-78

    3. Analysis Using Matrices and Control Theory

      • Alexander Weinmann
      Pages 79-93

    4. Eigenvalue and Eigenvector Differential Sensitivity

      • Alexander Weinmann
      Pages 95-106

    5. Transition Matrix Differential Sensitivity

      • Alexander Weinmann
      Pages 107-113

    6. Characteristic Polynomial Differential Sensitivity

      • Alexander Weinmann
      Pages 115-122

    7. Optimal Control and Performance Sensitivity

      • Alexander Weinmann
      Pages 123-136

    8. Desensitizing Control

      • Alexander Weinmann
      Pages 137-143

  4. Robustness in the Time Domain

    1. Front Matter

      Pages 145-145
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    2. General Stability Bounds in Perturbed Systems

      • Alexander Weinmann
      Pages 147-165

    3. Robust Dynamic Interval Systems

      • Alexander Weinmann
      Pages 167-197

    4. Lyapunov-Based Methods for Perturbed Continuous-Time Systems

      • Alexander Weinmann
      Pages 199-224

    5. Lyapunov-Based Methods for Perturbed Discrete-Time Systems

      • Alexander Weinmann
      Pages 225-248

    6. Robust Pole Assignment

      • Alexander Weinmann
      Pages 249-258

    7. Models for Optimal and Interconnected Systems

      • Alexander Weinmann
      Pages 259-276
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Keywords

About this book

Control systems particularly designed to manage uncertainties are called robust control system. Choosing appropriate design methods, the influence of uncertainties on the closed-loop behaviour can be reduced to a large extent. Most of the important areas of robust control are covered. The aim of the book is to provide an introduction to the theory and methods of robust control system design, to present a coherent body of knowledge, to clarify and unify presentation of significant derivations and proofs. The book contains a thorough treatment of important material of uncertainties and robust control which is scattered throughout the literature.

Authors and Affiliations

  • Department of Electrical Engineering, Technical University Vienna, Austria

    Alexander Weinmann

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