L2 - Gain and Passivity Techniques in Nonlinear Control - Couverture rigide

Van Der Schaft, Arjan

Couverture rigide

ISBN 10 : 1852330732 ISBN 13 : 9781852330736

Editeur : Springer London Ltd, 1999

Synopsis

With respect to the first edition as Volume 218 in the Lecture Notes in Con- trol and Information Sciences series the basic idea of the second edition has remained the same: to provide a compact presentation of some basic ideas in the classical theory of input-output and closed-loop stability, together with a choice of contributions to the recent theory of nonlinear robust and 1foo control and passivity-based control. Nevertheless, some parts of the book have been thoroughly revised and/or expanded, in order to have a more balanced presen- tation of the theory and to include some of the new developments which have been taken place since the appearance of the first edition. I soon realized, how- ever, that it is not possible to give a broad exposition of the existing literature in this area without affecting the spirit of the book, which is precisely aimed at a compact presentation. So as a result the second edition still reflects very much my personal taste and research interests. I trust that others will write books emphasizing different aspects. Major changes with respect to the first edition are the following: - A new section has been added in Chapter 2 relating L2-gain and passivity via scattering, emphasizing a coordinate-free, geometric, treatment. - The section on stability in Chapter 3 has been thoroughly expanded, also incorporating some recent results presented in [182J.

A propos du livre

Présentation de l'éditeur

This book gives a unified treatment of classical input-output stability theory and recent developments in nonlinear robust and passivity-based control. The synthesis between these areas is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this vantage-ground. The connection between L2-gain and passivity via scattering is detailed.
The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasizing the close relations with modeling and control by interconnection. Feedback equivalence to a passive system and resulting stabilization strategies are discussed.
The potential of L2-gain techniques in nonlinear control is demonstrated, including a compact treatment of the nonlinear H optimal control problem. This book supplies the reader with a succinct, informative summary of a fundamental and rapidly developing area of nonlinear control theory.

Détails de l'édition

• Éditeur: Springer London Ltd
• Date d'édition: 1999
• Langue: anglais
• ISBN 10: 1852330732
• ISBN 13: 9781852330736
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 260
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne