Studies in Systems, Decision and Control
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Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems

Fundamentals of Fractional Calculus and Differential Algebra with Real-Time Applications

Authors: Martínez-Guerra, Rafael, Meléndez-Vázquez, Fidel, Trejo-Zúñiga, Iván

  • Presents fault diagnosis and fault-tolerant control tackled by means of differential algebra and fractional calculus tools
  • Contains simulations and real-time experimental results
  • Discusses the novel theory of fractional-order systems
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eBook 96,29 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: January 7, 2021
  • ISBN 978-3-030-62094-3
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Hardcover 124,79 €
price for Spain (gross)
About this book

This book is about algebraic and differential methods, as well as fractional calculus, applied to diagnose and reject faults in nonlinear systems, which are of integer or fractional order. This represents an extension of a very important and widely studied problem in control theory, namely fault diagnosis and rejection (using differential algebraic approaches), to systems presenting fractional dynamics, i.e. systems whose dynamics are represented by derivatives and integrals of non-integer order.

The authors offer a thorough overview devoted to fault diagnosis and fault-tolerant control applied to fractional-order and integer-order dynamical systems, and they introduce new methodologies for control and observation described by fractional and integer models, together with successful simulations and real-time applications. The basic concepts and tools of mathematics required to understand the methodologies proposed are all clearly introduced and explained. Consequently, the book is useful as supplementary reading in courses of applied mathematics and nonlinear control theory.

This book is meant for engineers, mathematicians, physicists and, in general, to researchers and postgraduate students in diverse areas who have a minimum knowledge of calculus. It also contains advanced topics for researchers and professionals interested in the area of states and faults estimation.


About the authors

Rafael Martínez-Guerra earned his Ph.D. degree from Metropolitan Autonomous University (UAM) in 1996. Currently, he is a researcher at the Automatic Control Department of the Center for Research and Advanced Studies (CINVESTAV – IPN) and member of the National System of Researchers (SNI) since 1992. He is author and co-author of more than 80 papers in international journals and more than 130 contributions in international conference and proceedings. He is co-author of 7 books. His research interests are in the areas of nonlinear systems, differential geometric and differential algebraic methods, fractional nonlinear observers, fractional fault detection and diagnosis, secure communications, fractional synchronization and chaos.

Fidel Meléndez-Vázquez obtained the M.Eng. degree at the National Polytechnic Institute (IPN) and the Ph.D. degree in Science at the Center for Research and Advanced Studies (CINVESTAV – IPN), in Mexico City, where his research focused on fault diagnosis and rejection in integer and fractional-order systems. Currently, he is a Postdoctoral Assistant Researcher at the Universidad Iberoamericana in Mexico City, where he works on the theory and applications of fractional calculus. He has recently obtained the Appointment as Candidate in the National System of Researchers (SNI), awarded by the National Council of Science and Technology (CONACYT) from Mexico.

Iván Trejo-Zúñiga is Fulltime Professor in mechatronics at the Technological University of San Juan del Rio, Querétaro, Mexico. He obtained his Ph.D. in Automatic Control from the Center for Research and Advanced Studies (CINVESTAV – IPN). He is a member of the National System of Researchers (SNI) and conducts research on topics such as fault diagnosis, fault-tolerant control for integer and fractional-order systems, robust control, fractional differentiators and observers for dynamical systems.


Buy this book

eBook 96,29 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: January 7, 2021
  • ISBN 978-3-030-62094-3
  • Digitally watermarked, DRM-free
  • Included format:
  • Immediate eBook download after purchase and usable on all devices
Hardcover 124,79 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems
Book Subtitle
Fundamentals of Fractional Calculus and Differential Algebra with Real-Time Applications
Authors
Series Title
Studies in Systems, Decision and Control
Series Volume
328
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-62094-3
DOI
10.1007/978-3-030-62094-3
Hardcover ISBN
978-3-030-62093-6
Series ISSN
2198-4182
Edition Number
1
Number of Pages
XXI, 196
Number of Illustrations
5 b/w illustrations, 75 illustrations in colour
Topics