Fault Detection and Diagnosis in Nonlinear Systems

A Differential and Algebraic Viewpoint

  • Rafael Martinez-Guerra
  • Juan Luis Mata-Machuca

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Rafael Martinez-Guerra, Juan Luis Mata-Machuca
    Pages 1-19
  3. Rafael Martinez-Guerra, Juan Luis Mata-Machuca
    Pages 21-32
  4. Rafael Martinez-Guerra, Juan Luis Mata-Machuca
    Pages 33-54
  5. Rafael Martinez-Guerra, Juan Luis Mata-Machuca
    Pages 55-65
  6. Rafael Martinez-Guerra, Juan Luis Mata-Machuca
    Pages 67-74
  7. Rafael Martinez-Guerra, Juan Luis Mata-Machuca
    Pages 75-93
  8. Rafael Martinez-Guerra, Juan Luis Mata-Machuca
    Pages 95-100
  9. Rafael Martinez-Guerra, Juan Luis Mata-Machuca
    Pages 101-112
  10. Rafael Martinez-Guerra, Juan Luis Mata-Machuca
    Pages 113-126
  11. Back Matter
    Pages 127-128

About this book

Introduction

The high reliability required in industrial processes has created the necessity of detecting abnormal conditions, called faults, while processes are operating. The term fault generically refers to any type of process degradation, or degradation in equipment performance because of changes in the process's physical characteristics, process inputs or environmental conditions. This book is about the fundamentals of fault detection and diagnosis in a variety of nonlinear systems which are represented by ordinary differential equations. The fault detection problem is approached from a differential algebraic viewpoint, using residual generators based upon high-gain nonlinear auxiliary systems (‘observers’). A prominent role is played by the type of mathematical tools that will be used, requiring knowledge of differential algebra and differential equations. Specific theorems tailored to the needs of the problem-solving procedures are developed and proved. Applications to real-world problems, both with constant and time-varying faults, are made throughout the book and include electromechanical positioning systems, the Continuous Stirred Tank Reactor (CSTR), bioreactor models and belt drive systems, to name but a few.

Keywords

Differential Field Extension Differential Transcendence Degree Nonlinear High-gain Observers Residual Generator Method for Dynamical Systems

Authors and affiliations

  • Rafael Martinez-Guerra
    • 1
  • Juan Luis Mata-Machuca
    • 2
  1. 1.Departamento de Control AutomaticoCINVESTAV-IPNMexico, D.F.Mexico
  2. 2.Unidad Profesional Interdisciplinaria en Ingenieria y Tecnologias AvanzadasInstituto Politecnico Nacional Academia de MecatronicaMexico, D.F.Mexico

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-03047-0
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-03046-3
  • Online ISBN 978-3-319-03047-0
  • Series Print ISSN 1860-0832
  • Series Online ISSN 1860-0840
  • About this book