Thomas Meurer

(Author)

Control of Higher-Dimensional Pdes: Flatness and Backstepping Designs (2013)Hardcover - 2013, 14 August 2012

Control of Higher-Dimensional Pdes: Flatness and Backstepping Designs (2013)
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Part of Series
Communications and Control Engineering
Part of Series
Communications and Control Engineering (Hardcover)
Part of Series
Communications and Control Engineering (Paperback)
Print Length
368 pages
Language
English
Publisher
Springer
Date Published
14 Aug 2012
ISBN-10
3642300146
ISBN-13
9783642300141

Description

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.

Product Details

Author:
Thomas Meurer
Book Edition:
2013
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
14 August 2012
Dimensions:
23.37 x 15.75 x 2.54 cm
Genre:
Science/Technology Aspects
ISBN-10:
3642300146
ISBN-13:
9783642300141
Language:
English
Location:
Berlin, Heidelberg
Pages:
368
Publisher:
Weight:
680.39 gm

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