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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Technik Allg. & Lexika L2-Gain and Passivity Techniques in Nonlinear Control
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L2-Gain and Passivity Techniques in Nonlinear Control
Arjan van der Schaft (Gebundene Ausgabe, Englisch)
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Beschreibung
This standard text gives a unified treatment of passivity and L 2 -gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity and L 2 -gain theory 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 standpoint. The connection between L 2 -gain and passivity via scattering is detailed. Feedback equivalence to a passive system and resulting stabilization strategies are discussed. The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with physical modeling and control by interconnection, and leading to novel control methodologies going beyond passivity. The potential of L 2 -gain techniquesin nonlinear control, including a theory of all-pass factorizations of nonlinear systems, and of parametrization of stabilizing controllers, is demonstrated. The nonlinear H-infinity optimal control problem is also treated and the book concludes with a geometric analysis of the solution sets of Hamilton-Jacobi inequalities and their relation with Riccati inequalities for the linearization. · L 2 -Gain and Passivity Techniques in Nonlinear Control (third edition) is thoroughly updated, revised, reorganized and expanded. Among the changes, readers will find: · updated and extended coverage of dissipative systems theory · substantial new material regarding converse passivity theorems and incremental/shifted passivity · coverage of recent developments on networks of passive systems with examples · a completely overhauled and succinct introduction to modeling and control of port-Hamiltonian systems, followed by an exposition of port-Hamiltonian formulation of physical network dynamics · updated treatment of all-pass factorization of nonlinear systems The book provides graduate students and researchers in systems and control with a compact presentation of a fundamental and rapidly developing area of nonlinear control theory, illustrated by a broad range of relevant examples stemming from different application areas. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
15.12.2016
Sprache
Englisch
EAN
9783319499918
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Communications and Control Engineering
Sonderedition
Nein
Autor
Arjan van der Schaft
Seitenanzahl
321
Auflage
3
Einbandart
Gebundene Ausgabe
Schlagwörter
Hamilton–Jacobi Inequalities, Nonlinear Control, Passive Systems, Small-gain Theorem, Input–Output Stability, Port-Hamiltonian Systems, Physical Network Dynamics, Nonlinear Minimum-Phase, Nonlinear H-infinity Control
Thema-Inhalt
UYQ - Künstliche Intelligenz
TJFM - Regelungstechnik
GPFC - Kybernetik und Systemtheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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