Fuzzy Digital Filter Type III1
J. Jesús Medel Juárezb, Juan C. García Infantea, and J. Carlos Sánchez Garcíaa
aProfessional School of Mechanical and Electrical Engineering, National Polytechnic Institute, Av. Santa Ana No.
1000, Col. San Francisco Culhuacan Del. Coyoacan, México D.F.
bCentre of Computing Research, National Polytechnic Institute, Vallejo, C.P. 07738, México D.F.
E-mail: jcnet21@yahoo.com, jjmedelj@yahoo.com.mx, jcsanchezgarcia@gmail.com
Received October 27, 2010
AbstractA digital filter interacts with a reference model signal into a real process in order to obtain
the best corresponding answer, having the minimum filter output error using the mean square criterion.
A fuzzy mechanism into the filter structure was added obtaining an intelligent filter, selecting and emit-
ting an answer decision according to the external reference signal changes. This is in order to actualize
the best correct new conditions updating a dynamic process. The fuzzy filter makes an interpretation of
the input signal level to select the best parameter values from a set of membership values into the knowl-
edge base (KB), updating the filter weights giving the approximation answers according to the reference
signal. This fuzzy stage improves the filter answers, minimizing the filter error criterion with a classifi-
cation of its operation levels. The filtering process requires that all answers of the error criteria are prob-
abilistically bounded, considering the Nyquist and Shannon assumptions, having the fuzzy filter simu-
lations using Matlab
tools into the Kalman structure.
Keywords: digital filtering, fuzzy systems, estimation, stability.
DOI: 10.3103/S0146411611020040
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