Fractional Order Differentiation and Robust Control Design CRONE, H-infinity and Motion Control

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 expl...

Full description

Bibliographic Details
Main Authors: Sabatier, Jocelyn, Lanusse, Patrick (Author), Melchior, Pierre (Author), Oustaloup, Alain (Author)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2015, 2015
Edition:1st ed. 2015
Series:Intelligent Systems, Control and Automation: Science and Engineering
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 03550nmm a2200433 u 4500
001 EB001034024
003 EBX01000000000000000827546
005 00000000000000.0
007 cr|||||||||||||||||||||
008 150601 ||| eng
020 |a 9789401798075 
100 1 |a Sabatier, Jocelyn 
245 0 0 |a Fractional Order Differentiation and Robust Control Design  |h Elektronische Ressource  |b CRONE, H-infinity and Motion Control  |c by Jocelyn Sabatier, Patrick Lanusse, Pierre Melchior, Alain Oustaloup 
250 |a 1st ed. 2015 
260 |a Dordrecht  |b Springer Netherlands  |c 2015, 2015 
300 |a IX, 323 p. 349 illus., 150 illus. in color  |b online resource 
505 0 |a 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 
653 |a Dynamical Systems 
653 |a Computer simulation 
653 |a Control and Systems Theory 
653 |a Computer Modelling 
653 |a Control theory 
653 |a Systems Theory, Control 
653 |a System theory 
653 |a Control engineering 
653 |a Mathematical physics 
653 |a Theoretical, Mathematical and Computational Physics 
653 |a Dynamical systems 
700 1 |a Lanusse, Patrick  |e [author] 
700 1 |a Melchior, Pierre  |e [author] 
700 1 |a Oustaloup, Alain  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Intelligent Systems, Control and Automation: Science and Engineering 
028 5 0 |a 10.1007/978-94-017-9807-5 
856 4 0 |u https://doi.org/10.1007/978-94-017-9807-5?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 629.8312 
082 0 |a 003 
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