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books
| book details |
L2-Gain and Passivity Techniques in Nonlinear Control
By (author) Arjan van der Schaft
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normal price: R 7 589.95
Price: R 6 830.95
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| book description |
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 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.  ·         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.
| product details |
Normally shipped |
Publisher | Springer International Publishing AG
Published date | 5 Jul 2018
Language |
Format | Paperback / softback
Pages | 321
Dimensions | 235 x 155 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-3-3198-4294-3
Readership Age |
BISAC | computers / artificial intelligence
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Normally shipped |
Readership Age |
Normal Price | R 9 613.95
Price | R 8 651.95
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