L2 - Gain And Passivity Techniques In Nonlinear Control by Arjan van der SchaftL2 - Gain And Passivity Techniques In Nonlinear Control by Arjan van der Schaft

L2 - Gain And Passivity Techniques In Nonlinear Control

byArjan van der Schaft, A. J. Van Der Schaft, Arjan Van Der Schaft

Hardcover | January 7, 2000

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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.
Title:L2 - Gain And Passivity Techniques In Nonlinear ControlFormat:HardcoverDimensions:260 pages, 9.25 × 6.1 × 0.01 inPublished:January 7, 2000Publisher:Springer LondonLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1852330732

ISBN - 13:9781852330736

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Table of Contents

Input-Output Stability.- Small-gain and Passivity of Input-Output Maps.- Dissipative Systems Theory.- Hamiltonian Systems as Passive Systems.- Passivity by Feedback.- Factorizations of Nonlinear Systems.- Nonlinear H Control.- Hamilton-Jacobi Inequalities.- Bibliography.- Index.