Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems Fundamentals of Fractional Calculus and Differential Algebra with Real-Time Applications

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 dia...

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Bibliographic Details
Main Authors: Martínez-Guerra, Rafael, Meléndez-Vázquez, Fidel (Author), Trejo-Zúñiga, Iván (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2021, 2021
Edition:1st ed. 2021
Series:Studies in Systems, Decision and Control
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Martínez-Guerra, Rafael 
245 0 0 |a Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems  |h Elektronische Ressource  |b Fundamentals of Fractional Calculus and Differential Algebra with Real-Time Applications  |c by Rafael Martínez-Guerra, Fidel Meléndez-Vázquez, Iván Trejo-Zúñiga 
250 |a 1st ed. 2021 
260 |a Cham  |b Springer International Publishing  |c 2021, 2021 
300 |a XXII, 192 p. 81 illus., 73 illus. in color  |b online resource 
505 0 |a Overview -- Fundamentals of differential algebra -- Fault diagnosis by means of invariant observer -- Multi-fault tolerant control in integer-order systems -- Fundamentals of fractional calculus and fractional dynamical systems -- Observer-based fault diagnosis for fractional order nonlinear systems -- Multi-fault-tolerant control in fractional-order systems -- Fractional-order controller based on a robust Piα observer for uncertain fractional-order systems -- Appendix 
653 |a Dynamical Systems 
653 |a Applied and Technical Physics 
653 |a Control and Systems Theory 
653 |a Calculus of Variations and Optimization 
653 |a Control engineering 
653 |a Physics 
653 |a Mathematical optimization 
653 |a Calculus of variations 
653 |a Dynamical systems 
700 1 |a Meléndez-Vázquez, Fidel  |e [author] 
700 1 |a Trejo-Zúñiga, Iván  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Studies in Systems, Decision and Control 
028 5 0 |a 10.1007/978-3-030-62094-3 
856 4 0 |u https://doi.org/10.1007/978-3-030-62094-3?nosfx=y  |x Verlag  |3 Volltext 
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520 |a 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, thebook 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