Diagnosis of nonlinear systems using the concept of differential transcendence degree

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


In this chapter we tackle the diagnosis problem in nonlinear systems by using the concept of differential transcendence degree of a differential field extension, as well as, we consider the algebraic observability concept of the variable which models the failure presence for the solvability of the diagnosis problem. The construction of a reduced order uncertainty observer to estimate the fault variable is the main ingredient in our approach. Finally, three examples are presented in order to apply the proposed methodology. Numerical simulations of these examples are presented to illustrate the effectiveness of the suggested approach.


Nonlinear System Fault Detection Fault Diagnosis Diagnosis Problem Diagnosability Condition 
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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