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Robustness of Dynamic Systems with Parameter Uncertainties

  • Conference proceedings
  • © 1992

Overview

Editors:
  1. M. Mansour

    1. Automatic Control Laboratory, ETH-Zentrum / ETL, Zürich, Switzerland

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  2. S. Balemi

    1. Automatic Control Laboratory, ETH-Zentrum / ETL, Zürich, Switzerland

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  3. W. Truöl

    1. Automatic Control Laboratory, ETH-Zentrum / ETL, Zürich, Switzerland

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Part of the book series: Monte Verita (MV)

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Table of contents (30 papers)

  1. Front Matter

    Pages I-IX
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  2. Robust Stability: The Polynomial Case

    1. Front Matter

      Pages 1-1
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    2. Kharitonov’s Theorem and the Second Method of Lyapunov

      • Mohamed Mansour, Brian D. O. Anderson
      Pages 3-11

    3. Stability Margins of Perturbed Systems

      • Y. C. Soh, Y. K. Foo
      Pages 13-21

    4. Frequency Domain Criteria for Robust Root Locations of Generalized Disc Polynomials

      • C. B. Soh
      Pages 23-32

    5. Computation of Value Sets of Uncertain Transfer Functions

      • Werner Truöl, Franta J. Kraus
      Pages 33-42

    6. Robust Stability of General Interconnections of Interval Plants and Unstructured Norm Bounded Perturbations

      • M. Dahleh, A. Tesi, A. Vicino
      Pages 43-51

    7. Algebraic Approach to Checking Strict Positive Real Property of Uncertain Real Rational Functions

      • T. Mori, H. Kokame
      Pages 53-62

    8. Stability of Convex Hull of Quasipolynomials

      • V. L. Kharitonov, A. P. Zhabko
      Pages 63-69

  3. Robust Stability: Multilinear Parameter Dependence

    1. Front Matter

      Pages 71-71
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    2. Robustness Properties of Multilinear Interval Systems

      • Hervé Chapellat, L. H. Keel, S. P. Bhattacharyya
      Pages 73-80

    3. Easily Testable Sufficient Conditions for the Robust Stability of Systems with Multiaffine Parameter Dependence

      • B. D. O. Anderson, F. J. Kraus, M. Mansour, S. Dasgupta
      Pages 81-92

    4. Robustness Analysis for Multilinear Perturbations

      • B. T. Polyak
      Pages 93-104

    5. On the Multiaffine Image of a Cube

      • Nam-Kiu Tsing, André L. Tits
      Pages 105-110

  4. Roubust Stability: The Nonlinear Case

    1. Front Matter

      Pages 111-111
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    2. Robust Absolute Stability of Continuous Systems

      • Ya. Z. Tsypkin, B. T. Polyak
      Pages 113-121

  5. Robust Stability: The Matrix Case

    1. Front Matter

      Pages 123-123
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    2. A Branch and Bound Method to Check the Stability of a Polytope of Matrices

      • Hideki Kokame, Takehiro Mori
      Pages 125-137

    3. Bounds on the Real Stability Radius

      • Li Qiu, Edward J. Davison
      Pages 139-145

    4. Necessary and Sufficient Conditions for Robust Stability with Structured Time-Invariant Perturbations

      • Bassam Bamieh, Mohammed Dahleh
      Pages 147-153
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Keywords

About this book

Robust Control is one of the fastest growing and promising areas of research today. In many practical systems there exist uncertainties which have to be considered in the analysis and design of control systems. In the last decade methods were developed for dealing with dynamic systems with unstructured uncertainties such as HOO_ and £I-optimal control. For systems with parameter uncertainties, the seminal paper of V. L. Kharitonov has triggered a large amount of very promising research. An international workshop dealing with all aspects of robust control was successfully organized by S. P. Bhattacharyya and L. H. Keel in San Antonio, Texas, USA in March 1991. We organized the second international workshop in this area in Ascona, Switzer­ land in April 1992. However, this second workshop was restricted to robust control of dynamic systems with parameter uncertainties with the objective to concentrate on some aspects of robust control. This book contains a collection of papers presented at the International Workshop on Robust Control held at the Centro Stefano Franscini, Monte Verita, Ascona, Switzer­ land on April 12-17, 1992 as well as a list of open problems presented during a dis­ cussion session at the workshop. Thirtyfive leading researchers from all over the world working in the area of robust control of dynamic systems with parameter uncertainties were invited to present their recent results and to discuss with their colleagues the recent advances in this field.

Editors and Affiliations

  • Automatic Control Laboratory, ETH-Zentrum / ETL, Zürich, Switzerland

    M. Mansour, S. Balemi, W. Truöl

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