Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems
Fundamentals of Fractional Calculus and Differential Algebra with Real-Time Applications
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Beschreibung
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.
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.
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
Autor*in
Rafael Martínez-Guerra
Themen in »Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems«
Differential Algebra Fault Diagnosis Differential Algebra Fault-tolerant Control Differential Algebra Observer Differential Algebra Dynamical Controller Fractional Fault Diagnosis Fractional Fault-tolerant Control Fractional Observer Fractional Dynamical Controller Nonlinear Observers Fractional-Order Differenciator