Diagnosis for a class of non-differentially flat and Liouvillian systems

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


In this chapter, we tackle the diagnosis problem for non-differentially flat and Liouvillian 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, we present a simulation example dealing with a ship in smooth landing to illustrate the effectiveness of the suggested approach.


Suggested Approach Differential Algebraic Equation Algebraic Polynomial IEEE Proceeding Diagnosis Problem 
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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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