Description: L2-gain and Passivity Techniques in Nonlinear Control, Hardcover by Van Der Schaft, Arjan, ISBN 3319499912, ISBN-13 9783319499918, Brand New, Free shipping in the US
This standard text gives a unified treatment of passivity and L2-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 L2-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 L2-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 L2-gain techniques in 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 th concludes with a geometric analysis of the solution sets of Hamilton-Jacobi inequalities and their relation with Riccati inequalities for the linearization.
L2-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
Th 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.
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Book Title: L2-gain and Passivity Techniques in Nonlinear Control
Number of Pages: Xviii, 321 Pages
Publication Name: L₂-Gain and Passivity Techniques in Nonlinear Control
Language: English
Publisher: Springer International Publishing A&G
Subject: Engineering (General), Automation, Intelligence (Ai) & Semantics, Mechanics / Dynamics, Electrical
Publication Year: 2016
Type: Textbook
Item Weight: 223.2 Oz
Item Length: 9.3 in
Author: Arjan Van Der Schaft
Subject Area: Computers, Technology & Engineering, Science
Item Width: 6.1 in
Series: Communications and Control Engineering Ser.
Format: Hardcover