Skip to main content
  • Book
  • © 2017

Solving Fault Diagnosis Problems

Linear Synthesis Techniques

Authors:

  • 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)

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxviii
  2. Basics of Fault Diagnosis

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Andreas Varga
      Pages 3-6
    3. Modelling Systems with Faults

      • Andreas Varga
      Pages 7-25
    4. Fault Diagnosis

      • Andreas Varga
      Pages 27-56
    5. Model Detection

      • Andreas Varga
      Pages 57-67
  3. Synthesis of Residual Generators

    1. Front Matter

      Pages 69-70
    2. Synthesis of Model Detection Filters

      • Andreas Varga
      Pages 127-146
    3. Computational Issues

      • Andreas Varga
      Pages 147-199
    4. Case Studies

      • Andreas Varga
      Pages 201-246
  4. Background Material

    1. Front Matter

      Pages 247-247
    2. System Theoretical Concepts

      • Andreas Varga
      Pages 249-297
    3. Computational Algorithms and Software

      • Andreas Varga
      Pages 299-379
  5. Back Matter

    Pages 381-394

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

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access