The Resource Control of Higher-Dimensional PDEs : Flatness and Backstepping Designs, by Thomas Meurer, (electronic resource)

Control of Higher-Dimensional PDEs : Flatness and Backstepping Designs, by Thomas Meurer, (electronic resource)

Label
Control of Higher-Dimensional PDEs : Flatness and Backstepping Designs
Title
Control of Higher-Dimensional PDEs
Title remainder
Flatness and Backstepping Designs
Statement of responsibility
by Thomas Meurer
Creator
Author
Author
Subject
Language
eng
Summary
This monograph presents new model-based design methods for trajectory planning, feedback stabilization, state estimation, and tracking control of distributed-parameter systems governed by partial differential equations (PDEs). Flatness and backstepping techniques and their generalization to PDEs with higher-dimensional spatial domain lie at the core of this treatise. This includes the development of systematic late lumping design procedures and the deduction of semi-numerical approaches using suitable approximation methods. Theoretical developments are combined with both simulation examples and experimental results to bridge the gap between mathematical theory and control engineering practice in the rapidly evolving PDE control area. The text is divided into five parts featuring: - a literature survey of paradigms and control design methods for PDE systems - the first principle mathematical modeling of applications arising in heat and mass transfer, interconnected multi-agent systems, and piezo-actuated smart elastic structures - the generalization of flatness-based trajectory planning and feedforward control to parabolic and biharmonic PDE systems defined on general higher-dimensional domains - an extension of the backstepping approach to the feedback control and observer design for parabolic PDEs with parallelepiped domain and spatially and time varying parameters - the development of design techniques to realize exponentially stabilizing tracking control - the evaluation in simulations and experiments Control of Higher-Dimensional PDEs - Flatness and Backstepping Designs is an advanced research monograph for graduate students in applied mathematics, control theory, and related fields. The book may serve as a reference to recent developments for researchers and control engineers interested in the analysis and control of systems governed by PDEs
Member of
Is part of
http://library.link/vocab/creatorName
Meurer, Thomas
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
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Image bit depth
0
LC call number
TJ212-225
Literary form
non fiction
Series statement
Communications and Control Engineering,
http://library.link/vocab/subjectName
  • Automatic control
  • System theory
  • Control and Systems Theory
  • Systems Theory, Control
Label
Control of Higher-Dimensional PDEs : Flatness and Backstepping Designs, by Thomas Meurer, (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
Model equations for multi-agent networks -- Model equations for flexible structures with piezoelectric actuation -- Mathematical problem formulation -- Spectral approach for time-invariant systems with general spatial domain -- Formal integration approach for time varying systems -- Backstepping for linear diffusion-convection-reaction systems with varying parameters on 1-dimensional domains -- Backstepping for linear diffusion-convection-reaction systems with varying parameters on parallelepiped domains
Dimensions
unknown
Edition
1st ed. 2013.
Extent
XX, 368 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783642300158
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-30015-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-30015-8
Label
Control of Higher-Dimensional PDEs : Flatness and Backstepping Designs, by Thomas Meurer, (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
Model equations for multi-agent networks -- Model equations for flexible structures with piezoelectric actuation -- Mathematical problem formulation -- Spectral approach for time-invariant systems with general spatial domain -- Formal integration approach for time varying systems -- Backstepping for linear diffusion-convection-reaction systems with varying parameters on 1-dimensional domains -- Backstepping for linear diffusion-convection-reaction systems with varying parameters on parallelepiped domains
Dimensions
unknown
Edition
1st ed. 2013.
Extent
XX, 368 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783642300158
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-30015-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-30015-8

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