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  • © 2017

Predictor Feedback for Delay Systems: Implementations and Approximations

Birkhäuser
  • First book to study the implementation issues of predictor feedback and provide formulas for the uncertainty gains of time-delay systems with large input and/or measurement delays
  • All results, along with the necessary assumptions, are clearly stated as theorems, corollaries, or lemmas immediately followed by a very concise proof
  • Material is presented in a well-organized and accessible manner despite the inherent complexity of the topic
  • Includes supplementary material: sn.pub/extras

Part of the book series: Systems & Control: Foundations & Applications (SCFA)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvii
  2. Preview of Predictor Feedback and Delay Compensation

    • Iasson Karafyllis, Miroslav Krstic
    Pages 1-16
  3. Linear Systems Under Predictor Feedback

    1. Front Matter

      Pages 17-18
    2. Linear Systems with State Measurement

      • Iasson Karafyllis, Miroslav Krstic
      Pages 19-58
    3. Linear Systems with Output Measurement

      • Iasson Karafyllis, Miroslav Krstic
      Pages 59-82
  4. Nonlinear Systems Under Predictor Feedback

    1. Front Matter

      Pages 83-84
    2. Nonlinear Systems with State Measurement

      • Iasson Karafyllis, Miroslav Krstic
      Pages 85-153
    3. Nonlinear Systems with Output Measurement

      • Iasson Karafyllis, Miroslav Krstic
      Pages 155-212
    4. Application to the Chemostat

      • Iasson Karafyllis, Miroslav Krstic
      Pages 213-226
  5. Extensions of Predictor Feedback

    1. Front Matter

      Pages 227-227
    2. Systems Described by Integral Delay Equations

      • Iasson Karafyllis, Miroslav Krstic
      Pages 229-250
    3. Discrete-Time Systems

      • Iasson Karafyllis, Miroslav Krstic
      Pages 251-278
  6. Back Matter

    Pages 279-297

About this book

This monograph bridges the gap between the nonlinear predictor as a concept and as a practical tool, presenting a complete theory of the application of predictor feedback to time-invariant, uncertain systems with constant input delays and/or measurement delays. It supplies several methods for generating the necessary real-time solutions to the systems’ nonlinear differential equations, which the authors refer to as approximate predictors.


Predictor feedback for linear time-invariant (LTI) systems is presented in Part I to provide a solid foundation on the necessary concepts, as LTI systems pose fewer technical difficulties than nonlinear systems. Part II extends all of the concepts to nonlinear time-invariant systems. Finally, Part III explores extensions of predictor feedback to systems described by integral delay equations and to discrete-time systems.


The book’s core is the design of control and observer algorithms with which global stabilization, guaranteed in the previous literature with idealized (but non-implementable) predictors, is preserved with approximate predictors developed in the book.


An applications-driven engineer will find a large number of explicit formulae, which are given throughout the book to assist in the application of the theory to a variety of control problems. A mathematician will find sophisticated new proof techniques, which are developed for the purpose of providing global stability guarantees for the nonlinear infinite-dimensional delay system under feedback laws employing practically implementable approximate predictors.


Researchers working on global stabilization problems for time-delay systems will find this monograph to be a helpful summary of the state of the art, while graduate students in the broad field of systems and control will advance their skills in nonlinear control design and the analysis of nonlinear delay systems.



Authors and Affiliations

  • Department of Mathematics, National Technical University of Athens, Athens, Greece

    Iasson Karafyllis

  • Mechanical & Aerospace Engineering, University of California, San Diego, La Jolla, USA

    Miroslav Krstic

Bibliographic Information

  • Book Title: Predictor Feedback for Delay Systems: Implementations and Approximations

  • Authors: Iasson Karafyllis, Miroslav Krstic

  • Series Title: Systems & Control: Foundations & Applications

  • DOI: https://doi.org/10.1007/978-3-319-42378-4

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG, CH 2017

  • Hardcover ISBN: 978-3-319-42377-7Published: 13 March 2017

  • Softcover ISBN: 978-3-319-82564-9Published: 17 July 2018

  • eBook ISBN: 978-3-319-42378-4Published: 06 March 2017

  • Series ISSN: 2324-9749

  • Series E-ISSN: 2324-9757

  • Edition Number: 1

  • Number of Pages: XVII, 297

  • Number of Illustrations: 1 b/w illustrations, 11 illustrations in colour

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

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 119.99
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