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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 (Taschenbuch, 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
05.07.2018
Sprache
Englisch
EAN
9783319842943
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Communications and Control Engineering
Sonderedition
Nein
Autor
Arjan van der Schaft
Seitenanzahl
321
Auflage
Softcover reprint of the original 3rd edition 2017
Einbandart
Taschenbuch
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: Palgrave Macmillan, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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