Attractive Ellipsoids in Robust Control

  • Alexander Poznyak
  • Andrey Polyakov
  • Vadim Azhmyakov
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 1-10
  3. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 11-45
  4. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 47-69
  5. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 71-96
  6. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 97-122
  7. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 123-146
  8. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 147-161
  9. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 163-185
  10. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 187-223
  11. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 225-266
  12. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 267-294
  13. Alexander Poznyak, Andrey Polyakov, Vadim Azhmyakov
    Pages 295-338
  14. Back Matter
    Pages 339-348

About this book

Introduction

This monograph introduces a newly developed robust-control design technique for a wide class of continuous-time dynamical systems called the “attractive ellipsoid method.” Along with a coherent introduction to the proposed control design and related topics, the monograph studies nonlinear affine control systems in the presence of uncertainty and presents a constructive and easily implementable control strategy that guarantees certain stability properties. The authors discuss linear-style feedback control synthesis in the context of the above-mentioned systems.

The development and physical implementation of high-performance robust-feedback controllers that work in the absence of complete information is addressed, with numerous examples to illustrate how to apply the attractive ellipsoid method to mechanical and electromechanical systems. While theorems are proved systematically, the emphasis is on understanding and applying the theory to real-world situations.

Attractive Ellipsoids in Robust Control will appeal to undergraduate and graduate students with a background in modern systems theory as well as researchers in the fields of control engineering and applied mathematics.

Keywords

Lyaponov-like analysis linear and bilinear matrix inequalities model-free control practical stability sample data controllers zone covergence

Authors and affiliations

  • Alexander Poznyak
    • 1
  • Andrey Polyakov
    • 2
  • Vadim Azhmyakov
    • 3
  1. 1.Automatic Control DepartmentCentro de Investigacion y Estudios AvanzadosMéxicoMexico
  2. 2.Non-AINRIA-LNEVilleneuve d'AscqFrance
  3. 3.Faculty of Electronic and Biomedical EngineeringUniversity of Antonio NariñoNeivaColombia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-09210-2
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-09209-6
  • Online ISBN 978-3-319-09210-2
  • Series Print ISSN 2324-9749
  • Series Online ISSN 2324-9757
  • About this book