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Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems [electronic resource] : Fundamentals of Fractional Calculus and Differential Algebra with Real-Time Applications / by Rafael Martínez-Guerra, Fidel Meléndez-Vázquez, Iván Trejo-Zúñiga.

By: Martínez-Guerra, Rafael [author.].
Contributor(s): Meléndez-Vázquez, Fidel [author.] | Trejo-Zúñiga, Iván [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Systems, Decision and Control: 328Publisher: Cham : Springer International Publishing : Imprint: Springer, 2021Edition: 1st ed. 2021.Description: XXII, 192 p. 81 illus., 73 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030620943.Subject(s): Physics | Control engineering | Dynamical systems | Mathematical optimization | Calculus of variations | Applied and Technical Physics | Control and Systems Theory | Dynamical Systems | Calculus of Variations and OptimizationAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 621 Online resources: Click here to access online
Contents:
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.
In: Springer Nature eBookSummary: 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.
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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.

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.

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