L2-gain and passivity techniques in nonlinear control /
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 im...
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| Format: | eBook |
| Language: | English |
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London ; New York :
Springer,
[2000]
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| Series: | Communications and control engineering series.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xii, 248 pages :) : illustrations. |
| Bibliography: | Includes bibliographical references (pages [229]-246) and index. |
| ISBN: | 9781447105077 (electronic bk.) 1447105079 (electronic bk.) |