L2 - Gain and Passivity Techniques in Nonlinear Control

By:

Arjan van der Schaft

Format:

Hardback

Series:

Communications and Control Engineering

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Description

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.

Release date NZ

November 1st, 1999

Author

Arjan van der Schaft

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Technical / Manuals
Undergraduate

Edition

2nd ed. 2000

Illustrations

XII, 248 p.

Pages

248

Series

Communications and Control Engineering

Dimensions

156x234x15

ISBN-13

9781852330736

Product ID

2499690

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