The Resource L2-Gain and Passivity Techniques in Nonlinear Control, by Arjan van der Schaft, (electronic resource)

L2-Gain and Passivity Techniques in Nonlinear Control, by Arjan van der Schaft, (electronic resource)

Label
L2-Gain and Passivity Techniques in Nonlinear Control
Title
L2-Gain and Passivity Techniques in Nonlinear Control
Statement of responsibility
by Arjan van der Schaft
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
van der Schaft, Arjan
Image bit depth
0
LC call number
Q342
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Communications and Control Engineering,
http://library.link/vocab/subjectName
  • Engineering
  • System theory
  • Computational intelligence
  • Control engineering
  • Robotics
  • Mechatronics
  • Engineering
  • Computational Intelligence
  • Control, Robotics, Mechatronics
  • Systems Theory, Control
Label
L2-Gain and Passivity Techniques in Nonlinear Control, by Arjan van der Schaft, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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-Hamiltonian Network Dynamics -- Chapter 8: L2-Gain and the Small Gain Theorem -- Chapter 9: Factorizations of Nonlinear Systems -- Chapter 10: Nonlinear H-infinity Control.-Chapter 11: Hamilton-Jacobi Inequalities
Dimensions
unknown
Edition
3rd ed. 2017.
Extent
XVIII, 321 p. 37 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319499925
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-49992-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-49992-5
Label
L2-Gain and Passivity Techniques in Nonlinear Control, by Arjan van der Schaft, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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-Hamiltonian Network Dynamics -- Chapter 8: L2-Gain and the Small Gain Theorem -- Chapter 9: Factorizations of Nonlinear Systems -- Chapter 10: Nonlinear H-infinity Control.-Chapter 11: Hamilton-Jacobi Inequalities
Dimensions
unknown
Edition
3rd ed. 2017.
Extent
XVIII, 321 p. 37 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319499925
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-49992-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-49992-5

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