Nonlinear
Control Under Nonconstant Delays
Nikolaos Bekiaris-Liberis
and Miroslav Krstic
SIAM, 2013
302 pages, hardcover
ISBN 978-1-61197-284-9
Contents:
Preface
1. Introduction
Part I. Constant Delays
2. Linear Systems with Input and State
Delays
3. Linear Systems with Distributed
Delays
4. Application: Automotive Catalysts
5. Nonlinear Systems with Input Delay
Part II. Time-Varying Delays
6. Linear Systems with Time-Varying
Input Delay
7. Robustness of Linear Constant-Delay
Predictors to Time-Varying Delay Perturbations
8. Nonlinear Systems with Time-Varying
Input Delay
9. Nonlinear Systems with Simultaneous Time-Varying
Delays on the Input and the State
Part III. State-Dependent Delays
10. Predictor Feedback Design When the
Delay Is a Function of the State
11. Stability Analysis for
Forward-Complete Systems with Input Delay
12. Stability Analysis for Locally Stabilizable Systems with Input Delay
13. Nonlinear Systems with State Delay
14. Robustness of Nonlinear
Constant-Delay Predictors to Time- and State-Dependent Delay Perturbations
15. State-Dependent Delays That Depend
on Delayed States
Appendices
Bibliography
Index
Publisher's
description:
The authors have developed a methodology
for control of nonlinear systems in the presence of long delays, with large and
rapid variation in the actuation or sensing path, or in the presence of long
delays affecting the internal state of a system. In addition to control
synthesis, they introduce tools to quantify the performance and the robustness
properties of the designs provided in the book.
The book is based on the concept of
predictor feedback and infinite-dimensional backstepping
transformation for linear systems and the authors guide the reader from the
basic ideas of the concept--with constant delays only on the input--all the way
through to nonlinear systems with state-dependent delays on the input as well
as on system states.
Several examples are presented that
help the reader digest some of the intricacies in the methodology. Readers will
find the book useful because the authors
·
provide elegant and systematic treatments of long-standing problems
in delay systems, such as systems with state-dependent delays that arise in many
applications;
·
give all control designs by explicit formulae, making the book
especially useful for engineers who have faced delay-related challenges and are
concerned with actual implementations; and
·
accompany all control designs with Lyapunov-based
analysis for establishing stability and performance guarantees.
This book is intended for researchers
working on control of delay systems, including engineers, mathematicians, and
students.