Dissipativity in Control Engineering: Applications in Finite- and Infinite-Dimensional Systems

Alexander Schaum

Book

Dissipativity in Control Engineering

Applications in Finite- and Infinite-Dimensional Systems

Alexander Schaum

Language: English

Published/Copyright: 2021

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About this book

Dissipativity, as a natural mechanism of energy interchange is common to many physical systems that form the basis of modern automated control applications. Over the last decades it has turned out as a useful concept that can be generalized and applied in an abstracted form to very different system setups, including ordinary and partial differential equation models. In this monograph, the basic notions of stability, dissipativity and systems theory are connected in order to establish a common basis for designing system monitoring and control schemes. The approach is illustrated with a set of application examples covering finite and infinite-dimensional models, including a ship steering model, the inverted pendulum, chemical and biological reactors, relaxation oscillators, unstable heat equations and first-order hyperbolic integro-differential equations.

Fundamentals and applications for finite and infinite dimensional systems.
Formulas and derivations included in appendix.

Author / Editor information

Alexander Schaum, Kiel University, Germany.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	VII
About the author Publicly Available Download PDF	XI
List of Figures Publicly Available Download PDF	XIII
Part I: Introduction and motivation
1 Motivation and problem formulation Requires Authentication Unlicensed Licensed	3
Part II: Theoretical foundations
2 Stability, dissipativity and some system-theoretic concepts Requires Authentication Unlicensed Licensed	17
3 Dissipativity-based observer and feedback control design Requires Authentication Unlicensed Licensed	55
Part III: Application examples
Introduction Requires Authentication Unlicensed Licensed	87
4 Finite-dimensional systems Requires Authentication Unlicensed Licensed	89
5 Infinite-dimensional systems Requires Authentication Unlicensed Licensed	120
6 Conclusions and outlook Requires Authentication Unlicensed Licensed	169
A Lemmata on quadratic forms Requires Authentication Unlicensed Licensed	171
B Kalman decomposition for observer design Requires Authentication Unlicensed Licensed	175
C The algebraic Riccati equation, optimality and dissipativity Requires Authentication Unlicensed Licensed	191
D Kernel derivations for the backstepping approach Requires Authentication Unlicensed Licensed	195
Bibliography Requires Authentication Unlicensed Licensed	217
Index Requires Authentication Unlicensed Licensed	227

Publishing information

Pages and Images/Illustrations in book

eBook published on:

July 19, 2021

eBook ISBN:

9783110677942

Hardcover published on:

July 19, 2021

Hardcover ISBN:

9783110677935

Pages and Images/Illustrations in book

Front matter:

14

Main content:

228

Coloured Illustrations:

30

Coloured Tables:

10

https://doi.org/10.1515/9783110677942

eBook ISBN: 9783110677942

Hardcover ISBN: 9783110677935

Keywords for this book

Regelungstechnik; endlichdimensionale Systeme; unendlichdimensionale Systeme; Steuerungstechnik; Selbstorganisierung

Audience(s) for this book

Researchers and Professionals in Control Engineering, System Designers.

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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Dissipativity in Control Engineering

Overview

About this book

Author / Editor information

Topics

Table of contents

Bibliographic data