Overview
- Offers the reader a method for designing control for nonlinear systems which is less restrictive than others of the kinds of nonlinearity it can handle
- Although the methods outlined are novel, they can be simply implemented using pre-existing and widely known classical control ideas
Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 400)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems.
Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.
Reviews
From the reviews:
“The present book is a research monograph written in the style of a graduate text in the broad subject of linear time-varying approximations to nonlinear dynamical systems. … The book is a self-contained presentation of essential results with rigorous proofs. It is well written with care and a lot of interest. I strongly recommend the book to graduate students and mathematicians as well as engineers.” (Themistocles M. Rassias, Mathematical Reviews, Issue 2011 g)Authors and Affiliations
Bibliographic Information
Book Title: Linear, Time-varying Approximations to Nonlinear Dynamical Systems
Book Subtitle: with Applications in Control and Optimization
Authors: María Tomás-Rodríguez, Stephen P. Banks
Series Title: Lecture Notes in Control and Information Sciences
DOI: https://doi.org/10.1007/978-1-84996-101-1
Publisher: Springer London
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag London 2010
Softcover ISBN: 978-1-84996-100-4Published: 04 February 2010
eBook ISBN: 978-1-84996-101-1Published: 12 January 2010
Series ISSN: 0170-8643
Series E-ISSN: 1610-7411
Edition Number: 1
Number of Pages: XII, 300
Topics: Dynamical Systems and Ergodic Theory, Operations Research, Management Science, Control and Systems Theory, Optimization, Complex Systems, Systems Theory, Control