ENGLISH

L2-Gain and Passivity Techniques in Nonlinear Control, Second Edition (Communications and Control Engineering)

By Arjan van der Schaft

Book information

Publisher
Springer
Year
2000
ISBN
1852330732, 9781852330736
Open Library ID
OL8973982M
Language
english
Format
PDF
Filesize
9 MB (9605752 bytes)
Edition
2nd
Pages
249\131
Topic
Technique
Time added
2011-06-04 13:46:07

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.

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