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Control of Discrete-Time Descriptor Systems

An Anisotropy-Based Approach

  • Contains numerous examples of practical application of descriptor systems in various fields
  • Presents an information-theoretic approach to mathematical description of colored noise
  • Equips readers with anisotropy-based analysis and design for descriptor systems, which allows them to understand the proposed algorithms thoroughly and to hold their own numerical simulation

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 157)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xx
  2. Practical Application of Descriptor Systems

    • Alexey A. Belov, Olga G. Andrianova, Alexander P. Kurdyukov
    Pages 1-32
  3. Basics of Discrete-Time Descriptor Systems Theory

    • Alexey A. Belov, Olga G. Andrianova, Alexander P. Kurdyukov
    Pages 33-59
  4. Anisotropy-Based Analysis of LDTI Descriptor Systems

    • Alexey A. Belov, Olga G. Andrianova, Alexander P. Kurdyukov
    Pages 61-97
  5. Optimal Control

    • Alexey A. Belov, Olga G. Andrianova, Alexander P. Kurdyukov
    Pages 99-116
  6. Suboptimal Control

    • Alexey A. Belov, Olga G. Andrianova, Alexander P. Kurdyukov
    Pages 117-136
  7. Anisotropy-Based Analysis for LDTI Descriptor Systems with Nonzero-Mean Input Signals

    • Alexey A. Belov, Olga G. Andrianova, Alexander P. Kurdyukov
    Pages 137-147
  8. Robust Anisotropy-Based Control

    • Alexey A. Belov, Olga G. Andrianova, Alexander P. Kurdyukov
    Pages 149-161
  9. Back Matter

    Pages 163-169

About this book

Control of Discrete-Time Descriptor Systems takes an anisotropy-based approach to the explanation of random input disturbance with an information-theoretic representation. It describes the random input signal more precisely, and the anisotropic norm minimization included in the book enables readers to tune their controllers better through the mathematical methods provided. The book contains numerous examples of practical applications of descriptor systems in various fields, from robotics to economics, and presents an information-theoretic approach to the mathematical description of coloured noise. Anisotropy-based analysis and design for descriptor systems is supplied along with proofs of basic statements, which help readers to understand the algorithms proposed, and to undertake their own numerical simulations.
   This book serves as a source of ideas for academic researchers and postgraduate students working in the control of discrete-time systems. The control design procedures outlined are numerically effective and easily implementable in MATLAB®



Reviews

“The book presents recent results on the anisotropy based optimal control of discrete time descriptor systems. It will be of high value to all researchers interested in the field and its future developments.” (Lazaros Moysis, zbMATH 1391.93001, 2018)

Authors and Affiliations

  • Department of Control Systems and Informatics, ITMO University, St. Petersburg, Russia

    Alexey A. Belov

  • Laboratory of Dynamics of Control Systems, V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

    Olga G. Andrianova, Alexander P. Kurdyukov

About the authors

Alexey A. Belov received the Ph.D. degree in System Analysis, Data Processing and Control from the V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences (ICS RAS), Moscow, Russia, in 2011. He is currently a Senior Researcher of the Department of Control Systems and Informatics at ITMO University and Senior Researcher of Laboratory of Dynamics of Control Systems at ICS RAS. His research interests include stability and control of descriptor systems, anisotropy-based and robust control of linear systems.

Olga G. Andrianova received Ph.D. degree in System Analysis, Data Processing and Control from the V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences (ICS RAS), Moscow, Russia, in 2015. She is currently a Senior Researcher of the Laboratory of Dynamics of Control Systems, ICS RAS, and an Associate Professor of the School of Applied Mathematics, MIEM HSE. Her scientific interests are focused on anisotropy-based control of descriptor systems and robust control of discrete-time linear systems. 

Alexander Kurdyukov received the Ph.D degree in System Analysis, Data Processing and Control from the V.A. Trapeznikov  Institute of Control Sciences Russian Academy of Sciences (ICS RAS), Moscow, Russia, in 1980 and Doctor Degree in System Analysis, Data Processing and Control from the V.A. Trapeznikov  Institute of Control Sciences Russian Academy of Sciences (RAS), Moscow, Russia, in 2001. He is currently a Head of Laboratory of Dynamics of Control Systems in ICS RAS. He is a specialist in adaptive, robust and stochastic robust control. He published more than 100 published works including 7 monographs (in Russian).

Bibliographic Information

  • Book Title: Control of Discrete-Time Descriptor Systems

  • Book Subtitle: An Anisotropy-Based Approach

  • Authors: Alexey A. Belov, Olga G. Andrianova, Alexander P. Kurdyukov

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-319-78479-3

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-78478-6Published: 07 May 2018

  • Softcover ISBN: 978-3-030-08709-8Published: 26 December 2018

  • eBook ISBN: 978-3-319-78479-3Published: 25 April 2018

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: XX, 169

  • Topics: Control and Systems Theory, Systems Theory, Control, Discrete Optimization

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access