Algebraic Methods for Nonlinear Control Systems

• Giuseppe Conte
• Claude H. Moog
• Anna Maria Perdon
Book

Part of the Communications and Control Engineering book series (CCE)

1. Front Matter
Pages i-xvi
2. Methodology

1. Front Matter
Pages 1-1
2. Pages 3-19
3. Pages 21-43
4. Pages 45-54
5. Pages 55-69
6. Pages 71-88
7. Pages 89-102
3. Applications to Control Problems

1. Front Matter
Pages 103-103
2. Pages 105-113
3. Pages 115-118
4. Pages 119-126
5. Pages 127-129
6. Pages 131-148
7. Pages 149-165
4. Back Matter
Pages 167-178

Introduction

A self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students.

The most popular treatment of control for nonlinear systems is from the viewpoint of differential geometry yet this approach proves not to be the most natural when considering problems like dynamic feedback and realization. Professors Conte, Moog and Perdon develop an alternative linear-algebraic strategy based on the use of vector spaces over suitable fields of nonlinear functions. This algebraic perspective is complementary to, and parallel in concept with, its more celebrated differential-geometric counterpart.

Algebraic Methods for Nonlinear Control Systems describes a wide range of results, some of which can be derived using differential geometry but many of which cannot. They include:

• classical and generalized realization in the nonlinear context;

• accessibility and observability recast within the linear-algebraic setting;

• discussion and solution of basic feedback problems like input-to-output linearization, input-to-state linearization, non-interacting control and disturbance decoupling;

• results for dynamic and static state and output feedback.

Dynamic feedback and realization are shown to be dealt with and solved much more easily within the algebraic framework.

Originally published as Nonlinear Control Systems, 1-85233-151-8, this second edition has been completely revised with new text – chapters on modeling and systems structure are expanded and that on output feedback added de novo – examples and exercises. The book is divided into two parts: the first being devoted to the necessary methodology and the second to an exposition of applications to control problems.

Keywords

Control Control Theory Dynamic State Feedback Linear Algebra Nonlinear Control Nonlinear Systems Systems Theory modeling nonlinear control system nonlinear system

Authors and affiliations

• Giuseppe Conte
• 1
• Claude H. Moog
• 2
• Anna Maria Perdon
• 1
1. 1.Dipartimento di Ingegneria Informatica Gestionale e dell’AutomazioneUniversità Politecnica delle MarcheAnconaItaly
2. 2.Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN)Centre National de la Recherche Scientifique (CNRS)Nantes Cedex 3France

Bibliographic information

• DOI https://doi.org/10.1007/978-1-84628-595-0
• Copyright Information Springer-Verlag London Limited 2007
• Publisher Name Springer, London
• eBook Packages Engineering
• Print ISBN 978-1-84628-594-3
• Online ISBN 978-1-84628-595-0
• Series Print ISSN 0178-5354
• Buy this book on publisher's site