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Opis

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 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 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.

Szczegóły książki

Kategoria Książki po angielsku Reference, information & interdisciplinary subjects Research & information: general Information theory

• Pełny tytuł: L2-Gain and Passivity Techniques in Nonlinear Control
• Autor: Arjan van der Schaft
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 321
• EAN: 9783319499918
• ISBN: 3319499912
• ID: 15195082
• Wydawca: Springer International Publishing AG
• Waga: 6328 g
• Wymiary: 235 × 155 × 21 mm
• Data wydania: 15. December 2016

Ulubione w innej kategorii

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