van der Schaft L2-Gain and Passivity Techniques in Nonlinear Control 9783319499918

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Автор: van der Schaft
Название: L2-Gain and Passivity Techniques in Nonlinear Control
ISBN: 9783319499918
Издательство: Springer
Классификация:

Кибернетика и теория систем

Электроника

Техника автоматического регулирования

Искусственный интеллект

ISBN-10: 3319499912
Обложка/Формат: Hardback
Страницы: 321
Вес: 0.67 кг.
Дата издания: 2017
Серия: Communications and Control Engineering
Язык: English
Издание: 3rd ed. 2017
Иллюстрации: 37 illustrations, black and white; xviii, 321 p. 37 illus.
Размер: 234 x 156 x 21
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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 the book 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 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.
Дополнительное описание: Chapter 1: Input-Output Stability.- Chapter 2: Small-Gain and Passivity of Input–Output Maps.- Chapter 3: Dissipative Systems Theory.- Chapter 4: Passivity.- Chapter 5: Passivity by Feedback.- Chapter 6: Port-Hamiltonian Systems.- Chapter 7: Port-Hamilton

L2-Gain and Passivity Techniques in Nonlinear Control, van der Schaft