Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems

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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

Cybernetics and systems theory Optimization Applied physics Automatic control engineering

Authors: Rafael Martinez-Guerra, Fidel Melendez-Vazquez, Ivan Trejo-Zuniga

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Collection: Studies in Systems, Decision and Control

Language: English

Published by: Springer

Published on: 14th December 2020

Format: LCP-protected ePub

Size: 29 Mb

ISBN: 9783030620943


Overview

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.

Content and Methodologies

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.

Intended Audience

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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