**Predictor Feedback for Delay Systems: Implementations and
Approximations **

Iasson Karafyllis and Miroslav Krstic

Springer, 2017

297 pages, hardcover

ISBN 978-3-319-42377-7

Contents:

Preface

1. Preview of Predictor Feedback and Delay Compensation

**Part I ****Linear
Systems Under Predictor Feedback **

2. Linear Systems with State Measurement

3. Linear Systemswith Output Measurement

**Part II
****Nonlinear Systems Under Predictor Feedback **

4. Nonlinear Systems with State Measurement

5. Nonlinear Systems with Output Measurement

6. Application to the Chemostat

**Part III Extensions of Predictor Feedback **

7. Systems Described by Integral Delay Equations

8. Discrete-Time Systems

References

Publisher's description:

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.