Neural fuzzy digital filtering: multivariate identifier filters involving multiple inputs and multiple outputs (mimo)

Multivariate identifier filters (multiple inputs and multiple outputs - MIMO) are adaptive digital systems having a loop in accordance with an objective function to adjust matrix parameter convergence to observable reference system dynamics. One way of complying with this condition is to use fuzzy l...

Full description

Bibliographic Details
Authors: García Infante, Juan Carlos, Medel Juárez, José de J., Sánchez García, Juan Carlos
Format: article
Status:Published version
Publication Date:2011
Country:Colombia
Institution:Universidad Nacional de Colombia
Repository:Repositorio UN
Language:Spanish
OAI Identifier:oai:repositorio.unal.edu.co:unal/33506
Online Access:https://repositorio.unal.edu.co/handle/unal/33506
http://bdigital.unal.edu.co/23586/
http://bdigital.unal.edu.co/23586/2/
http://bdigital.unal.edu.co/23586/3/
Access Level:Open access
Keyword:filtro digital
control difuso
red neuronal
MIMO
adaptivo.
digital filter
fuzzy control
neural network
adaptive digital system.
Description
Summary:Multivariate identifier filters (multiple inputs and multiple outputs - MIMO) are adaptive digital systems having a loop in accordance with an objective function to adjust matrix parameter convergence to observable reference system dynamics. One way of complying with this condition is to use fuzzy logic inference mechanisms which interpret and select the best matrix parameter from a knowledge base. Such selection mechanisms with neural networks can provide a response from the best operational level for each change in state (Shannon, 1948). This paper considers the MIMO digital filter model using neuro fuzzy digital filtering to find an adaptive  parameter matrix which is integrated into the Kalman filter by the transition matrix. The filter uses the neural network as back-propagation into the fuzzy mechanism to do this, interpreting its variables and its respective levels and selecting the best values for automatically adjusting transition matrix values. The Matlab simulation describes the neural fuzzy digital filter giving an approximation of exponential convergence seen in functional error.