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Systems & Control: Foundations & Applications

Attractive Ellipsoids in Robust Control

Authors: Poznyak, Alexander, Polyakov, Andrey, Azhmyakov, Vadim

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  • Presents numerical procedures for designing robust and adaptive-robust feedbacks
  • Covers a wide class of quasi-Lipschitz nonlinear uncertain systems
  • All subclasses of uncertain systems are treated with a unified approach
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eBook $99.00
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  • ISBN 978-3-319-09210-2
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Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-09209-6
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Softcover $129.00
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  • ISBN 978-3-319-35427-9
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About this book

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.

About the authors

Alexander S. Poznyak graduated from Moscow Physical Technical Institute (MPhTI) in 1970. He earned PhD and Doctor Degrees from the Institute of Control Sciences of Russian Academy of Sciences in 1978 and 1989, respectively. He is now the head of the Automatic Control Department at CINVESTAV-IPN, and has published more than 120 papers in different international journals and 9 books. Andrey Polyakov is a researcher at NON-A team, Inria Lille-Nord Europe. He has graduated with a PhD in Physics and Mathematics from Voronezh State University, Russia in 2005. His areas of interest lie within control theory and differential equations. Vadim Azhmyakov is a Professor at University of Antonio Nariño, Colombia, in the Department of Electronic and Biomedical Engineering.

Reviews

“The monograph presents a systematically written and organized text focused on understanding and the capability to apply the developed theory of the attractive ellipsoid method to real-world problems. … The book will be useful to interested undergraduate and graduate students familiar with sufficient knowledge of modern systems theory as well as to professionals in control engineering and applied mathematics, and also to general readers interested in this emerging subject.” (Lubomír Bakule, zbMATH 1314.93006, 2015)


Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-319-09210-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-09209-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • ISBN 978-3-319-35427-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Attractive Ellipsoids in Robust Control
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-09210-2
DOI
10.1007/978-3-319-09210-2
Hardcover ISBN
978-3-319-09209-6
Softcover ISBN
978-3-319-35427-9
Series ISSN
2324-9749
Edition Number
1
Number of Pages
XXI, 348
Number of Illustrations
26 b/w illustrations, 39 illustrations in colour
Topics