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

131 Pages·2000·9.161 MB·English
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by Arjan van der Schaft| 2000| 131 pages| 9.161| English

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

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.

Detailed Information

Author:Arjan van der Schaft
Publication Year:2000
ISBN:9781852330736
Pages:131
Language:English
File Size:9.161
Format:PDF
Price:FREE
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