Condition-Based Diagnosis of Mechatronic Systems Using a Fractional Calculus Approach

• Autor(a) principal: Gutiérrez-Carvajal, Ricardo Enrique
• Data de Publicação: 2014
• Outros Autores: Melo, Leonimer Flávio de, Rosário, João Maurício, Machado, J. A. Tenreiro
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10400.22/6934
• topic: Intelligent maintenance; Intelligent diagnostics; Application of fractional calculus; Identification of fractional order systems

While fractional calculus (FC) is as old as integer calculus, its application has been mainly restricted to mathematics. However, many real systems are better described using FC equations than with integer models. FC is a suitable tool for describing systems characterised by their fractal nature, long-term memory and chaotic behaviour. It is a promising methodology for failure analysis and modelling, since the behaviour of a failing system depends on factors that increase the model’s complexity. This paper explores the proficiency of FC in modelling complex behaviour by tuning only a few parameters. This work proposes a novel two-step strategy for diagnosis, first modelling common failure conditions and, second, by comparing these models with real machine signals and using the difference to feed a computational classifier. Our proposal is validated using an electrical motor coupled with a mechanical gear reducer.