Systems & Control: Foundations & Applications

Uniform Output Regulation of Nonlinear Systems

A Convergent Dynamics Approach

Authors: Pavlov, Alexey Victorovich, van de Wouw, Nathan, Nijmeijer, Henk

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About this book

The problem of asymptotic regulation of the output of a dynamical system plays a central role in control theory. An important variant of this problem is the output regulation problem, which can be used in such areas as set-point control, tracking reference signals and rejecting disturbances generated by an external system, controlled synchronization of dynamical systems, and observer design for autonomous systems. This book is one of the first systematic studies on the nonlinear output regulation problem that embraces both the local and global solvability analysis, covering such aspects as solvability conditions, controller design, and practical implementation issues.

The book opens with the development of the mathematical apparatus of convergent systems—very useful for studying nonlinear control systems—laying the foundation for most of the results presented in the work. The study then proceeds to a new problem statement—the so-called uniform output regulation problem. A comprehensive solvability analysis of this problem is provided in the next part of the work. Based on the solvability analysis, constructive controller design methods for the global uniform output regulation problem are presented for various classes of nonlinear systems.

In an attempt to bridge the gap between theory and practice, the authors conclude with a presentation of an experimental case study. The experiment—one of the first in the field of nonlinear output regulation—deals with control of a translational oscillator with a rotational actuator, illustrating the applicability of the nonlinear output regulation theory in experiments and raising a number of questions to be addressed in future research.

The scope of questions addressed in the book, the uniformity of their treatment, the novelty of the proposed approach, and the obtained results make this volume unique with respect to other works on the problem of nonlinear output regulation. In addition to being an excellent reference for the uniform output regulation problem, the book has a tutorial value on convergent systems. The work will be of interest to control engineers, theorists, and students, and may be used as a textbook for a graduate course on nonlinear control.

Reviews

"The book is one of the first systematic studies on the nonlinear output regulating problem that embraces both the local and global solvability analysis, covering such aspects as solvability conditions, controller design, and practical implementation issues...In addition to being an excellent reference for the uniform output regulation problem, the book has a tutorial value on convergent systems. The work will be of interest to control engineers to control engineers, theorists, and students, and may be used as a textbook for a graduate course on nonlinear control."   —Zentralblatt MATH

"In this book...the authors treat the problem of output regulation for a nonlinear control system...The authors’ starting point is that the three fundamental issues that need to be addressed are regularity of solutions to the closed-loop system, uniform convergence of solutions (initialized in an appropriate set) and asymptotic output zeroing. The use of italics for these three properties are those of the authors. This is not only reasonable, but smart...Beginning with their own formulation of these basic ideas, which is a nontrivial undertaking, the authors develop a global approach to output regulation along familiar lines...I found the book to be ambitious and rigorous, tackling some hard conceptual issues in a distinguishable way that the authors have made their own."   —IEEE Transactions on Automatic Control

"In summary, the book is well-written and presents a fresh perspective to the problem of output regulation. The book is not intended to be a general treatment on nonlinear output regulation but rather aims to present a different and original way of approaching the problem by means of the convergence tool. In this respect the book is a valuable addition to the theory of nonlinear output regulation and definitely recommended to researchers working in this field...In many parts of the book it is clear the intention of the authors to fill the gap between theory and practice, by providing practical design guidelines and by addressing implementation issues. In this respect the text is definitely recommended not only to academic researchers but also to industrial engineers working in the field of nonlinear control design."   —Intl. J. Robust and Nonlinear Control


Table of contents (9 chapters)

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-0-8176-4465-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-0-8176-4445-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Uniform Output Regulation of Nonlinear Systems
Book Subtitle
A Convergent Dynamics Approach
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4465-9
DOI
10.1007/0-8176-4465-2
Hardcover ISBN
978-0-8176-4445-1
Series ISSN
2324-9749
Edition Number
1
Number of Pages
XII, 172
Topics