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Solving Fault Diagnosis Problems

Linear Synthesis Techniques

  • Book
  • © 2017

Overview

  • Presents solution of standard synthesis problems in the most general setting, for both continuous- and discrete-time systems
  • Focuses on the best numerical algorithms to solve the synthesis problems for linear systems in generalized state-space form
  • Develops general synthesis procedures relying on new computational paradigms, such as factorization-based design employing filter updating techniques and nullspace-based synthesis
  • Provides readers a comprehensive set of free accompanying software tools for descriptor systems, which allows them to easily implement all synthesis procedures presented in the book and ensures that all results are reproducible
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 84)

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Table of contents (11 chapters)

  1. Basics of Fault Diagnosis

  2. Synthesis of Residual Generators

  3. Background Material

Keywords

About this book

This book addresses fault detection and isolation topics from a computational perspective. Unlike most existing literature, it bridges the gap between the existing well-developed theoretical results and the realm of reliable computational synthesis procedures. 

The model-based approach to fault detection and diagnosis has been the subject of ongoing research for the past few decades. While the theoretical aspects of fault diagnosis on the basis of linear models are well understood, most of the computational methods proposed for the synthesis of fault detection and isolation filters are not satisfactory from a numerical standpoint. Several features make this book unique in the fault detection literature:  

  • Solution of standard synthesis problems in the most general setting, for both continuous- and discrete-time systems, regardless of whether they are proper or not; consequently, the proposed synthesis procedures can solve a specific problemwhenever a solution exists
  • Emphasis on the best numerical algorithms to solve the synthesis problems for linear systems in generalized state-space form (also known as descriptor systems)
  • Development of general synthesis procedures relying on new computational paradigms, such as factorization-based design based on filter updating techniques and nullspace-based synthesis
  • Availability of a comprehensive set of free accompanying software tools for descriptor systems, which allows readers to easily implement all synthesis procedures presented in the book and ensures that all results are reproducible 

This book is primarily intended for researchers and advanced graduate students in the areas of fault diagnosis and fault-tolerant control. It will also appeal to mathematicians with an interest in control-oriented numerics.

Reviews

“The monograph presents a well written and systematically organized text focused on understanding and the capability of fault diagnosis and fault tolerant control. The book bridges the gap between the existing theoretical results and general reliable computational synthesis procedures for LTI deterministic systems. … The book will be useful to advanced graduate students, researchers and applied mathematicians interested in this emerging area.” (Lubomir Bakule, zbMATH 1396.93004, 2018)



“The book's discussion of fault diagnosis mainly accounts for the following aspects: fault detection, fault isolation, and fault identification. … this book is sort of complete since it contains theoretical explanations as well as supporting software tools for solving fault diagnosis problems.” (Juan Luis Mata-Machuca, Mathematical Reviews, April, 2018)

Authors and Affiliations

  • Gilching, Germany

    Andreas Varga

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