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Book synopsis

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.

Book details

Book category Books in English Technology, engineering, agriculture Electronics & communications engineering Electronics engineering

• Full title: L2 - Gain and Passivity Techniques in Nonlinear Control
• Author: Arjan van der Schaft
• Language: English
• Binding: Hardback
• Number of pages: 248
• EAN: 9781852330736
• ISBN: 1852330732
• ID: 01435134
• Publisher: Springer London Ltd
• Weight: 1210 g
• Dimensions: 235 × 155 × 20 mm
• Date of publishing: 01. November 1999

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