Gaussian clarification based on sign function

This paper presents a clarification model in the fuzzy sense based on the Membership Inverse Function (MIF), in Control Theory. It is considered as an identification and requires bounded input and output signals. The sign function and its derivative is regarded as a Gaussian function into the mathematical Membership description. Specifically, the sign function considers the difference between the absolute state variable values and its centroid, rather than remaining in the triangle inequality. Therefore, the theoretical result applied in Matlab® using the reference values as an identification process in an Auto Regressive Moving Average (ARMA) (1, 1) model describes the performance. The clarification converging in almost all points of the desired signal depends on the different initial conditions. The convergence obtained by the functional error built by the second probability moment was also used and applied in the same software giving an illustrative description.

• Autores: Medel, José De Jesús; Espinosa-Santiago, Mario; Fernández-Muñoz, José Luis
• Tipo de recurso: Article of journal
• Fecha de publicación: 2016
• Institución: Universidad Nacional de Colombia
• Repositorio: Universidad Nacional de Colombia
• Idioma: spa
• OAI Identifier: oai:repositorio.unal.edu.co:unal/60459
• Acceso en línea: https://repositorio.unal.edu.co/handle/unal/60459; http://bdigital.unal.edu.co/58791/
• Palabra clave: 62 Ingeniería y operaciones afines / Engineering; Clarification; Fuzzy Logic; Identification; Stochastic Process; Clarificación; Lógica Difusa; Identificación; Proceso Estocástico
• Rights: openAccess
• License: Atribución-NoComercial 4.0 Internacional