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Fractional order differentiation and...

Sabatier, Jocelyn.

Fractional order differentiation and robust control designCRONE, H-infinity and Motion Control /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional order differentiation and robust control designby Jocelyn Sabatier ... [et al.].
Reminder of title:	CRONE, H-infinity and Motion Control /
other author:	Sabatier, Jocelyn.
Published:	Dordrecht :Springer Netherlands :2015.
Description:	ix, 323 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Control theoryComputer programs.
Online resource:	http://dx.doi.org/10.1007/978-94-017-9807-5
ISBN:	9789401798075 (electronic bk.)

Fractional order differentiation and robust control designCRONE, H-infinity and Motion Control /
Fractional order differentiation and robust control designCRONE, H-infinity and Motion Control /[electronic resource] :by Jocelyn Sabatier ... [et al.]. - Dordrecht :Springer Netherlands :2015. - ix, 323 p. :ill., digital ;24 cm. - Intelligent systems, control and automation: science and engineering,v.772213-8986 ;. - Intelligent systems, control and automation: science and engineering ;v.70..

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.

This monograph collates the past decade's 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 "real state", 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.

ISBN: 9789401798075 (electronic bk.)

Standard No.: 10.1007/978-94-017-9807-5doiSubjects--Topical Terms:

278058
Control theory
--Computer programs.

LC Class. No.: TS155.8

Dewey Class. No.: 658.5

Fractional order differentiation and robust control designCRONE, H-infinity and Motion Control /
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520 $a This monograph collates the past decade's 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 "real state", 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.
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