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E-book
Author Sabatier, J. (Jocelyn), author.

Title Fractional order differentiation and robust control design : CRONE, H-infinity and Motion Control / Jocelyn Sabatier, Patrick Lanusse, Pierre Melchior, Alain Oustaloup ; with contributions by Chapter 1: C. Farges, Chapter 3: D. Nelson Gruel, Chapter 4: L. Fadiga, Chapter 5: S. Victor
Published Dordrecht [Netherlands] : Springer, [2015]
©2015

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Description 1 online resource
Series Intelligent systems, control and automation: science and engineering ; Volume 77
International series on intelligent systems, control and automation--science and engineering ; Volume 77.
Contents Chapter 1: Fractional order models -- Chapter 2: Fractional Order PID and First Generation CRONE Control System Design -- Chapter 3: Second and Third generation CRONE control system design -- Chapter 4: H∞ control of commensurate fractional order models -- Chapter 5: Fractional approaches in path tracking design (or motion control): prefiltering, shaping, and flatness
Summary This monograph collates the past decadeℓ́ℓs work on fractional models and fractional systems in the fields of analysis, robust control and path tracking. Themes such as PID control, robust path tracking design and motion control methodologies involving fractional differentiation are amongst those explored. It juxtaposes recent theoretical results at the forefront in the field, and applications that can be used as exercises that will help the reader to assimilate the proposed methodologies. The first part of the book deals with fractional derivative and fractional model definitions, as well as recent results for stability analysis, fractional model physical interpretation, controllability, and H-infinity norm computation. It also presents a critical point of view on model pseudo-state and ℓ́ℓreal stateℓ́ℓ, tackling the problem of fractional model initialization. Readers will find coverage of PID, Fractional PID and robust control in the second part of the book, which rounds off with an extension of H-infinity control to fractional models. An exhaustive description of the three generations of CRONE is also provided, along with several useful academic examples, treated with the CRONE control Matlab toolbox, which illustrate the various control strategies. Since prefilters are additional but often under-studied degrees of freedom to tune a control loop, the last part of this book presents three different approaches: fractional prefilter, input shaping and flatness principles that have been extended to fractional models. All these approaches are applied to experimental closed loop systems
Analysis wiskunde
mathematics
engineering
controle
control
mathematische natuurkunde
mathematical physics
fysica
physics
simulatiemodellen
simulation models
regeltheorie
control theory
Engineering (General)
Techniek (algemeen)
Bibliography Includes bibliographical references
Notes Vendor-supplied metadata
Subject Control theory -- Computer programs.
BUSINESS & ECONOMICS -- Industrial Management.
BUSINESS & ECONOMICS -- Management.
BUSINESS & ECONOMICS -- Management Science.
BUSINESS & ECONOMICS -- Organizational Behavior.
Control theory -- Computer programs
Form Electronic book
Author Lanusse, Patrick, author
Melchior, Pierre, author
Oustaloup, Alain, author.
ISBN 9789401798075
9401798079
9401798060
9789401798068