Abstract
This chapter focuses on a formulation for fault diagnosis (FDI) using an inverse problem methodology. It has been shown that this approach allows for diagnoses with adequate balance between robustness and sensitivity. The main contribution of this chapter is the expansion of this approach to include the diagnosis of time-dependent incipient faults. The FDI inverse problem is formulated as an optimization problem that is then solved with two metaheuristics: Differential Evolution and its variation Differential Evolution with Particle Collision. The proposed methodology is tested using simulated data from the Two Tanks system, which is recognized as benchmark for control and diagnosis. The results indicate that this proposal is suitable for the aforementioned diagnosis.
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Acknowledgements
The authors acknowledge the financial support provided by the Brazilian Agencies FAPERJ, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; CNPq, Conselho Nacional de Desenvolvimento Científico e Tecnológico; CAPES, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, as well as the Ministerio de Educación Superior de Cuba (MES).
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Camps-Echevarrı́a, L., Llanes-Santiago, O., de Campos Velho, H.F., da Silva Neto, A.J. (2016). Diagnosing Time-Dependent Incipient Faults. In: Silva Neto, A., Llanes Santiago, O., Silva, G. (eds) Mathematical Modeling and Computational Intelligence in Engineering Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-38869-4_4
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