Fault diagnosis viewed as a left invertibility problem

  • Rafael Martinez-Guerra
  • Juan Luis Mata-Machuca
Part of the Understanding Complex Systems book series (UCS)


This chapter deals with the fault diagnosis problem, some new properties are found using the left invertibility condition through the concept of differential output rank. Two schemes of nonlinear observers are used to estimate the fault signals for comparison purposes, one of these is a proportional reduced order observer (see Lemma 3.1) and the other is a sliding mode observer. The methodology is tested in a real time implementation of a three-tank system.


Fault Detection Fault Diagnosis Differential Algebra Transcendence Degree Tank System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing Switzerland 2014

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

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