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Diagnosis of nonlinear systems using the concept of differential transcendence degree

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Fault Detection and Diagnosis in Nonlinear Systems

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

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.

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Authors and Affiliations

  1. Departamento de Control Automatico, CINVESTAV-IPN, Mexico, D.F., Mexico

    Rafael Martinez-Guerra

  2. Unidad Profesional Interdisciplinaria en Ingenieria y Tecnologias Avanzadas, Instituto Politecnico Nacional Academia de Mecatronica, Mexico, D.F., Mexico

    Juan Luis Mata-Machuca

Authors
  1. Rafael Martinez-Guerra
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  2. Juan Luis Mata-Machuca
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Martinez-Guerra, R., Mata-Machuca, J.L. (2014). Diagnosis of nonlinear systems using the concept of differential transcendence degree . In: Fault Detection and Diagnosis in Nonlinear Systems. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-03047-0_3

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