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ANFIS Application

# ANFIS Application - ANFIS APPLICATION By Justin J...

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ANFIS APPLICATION By Justin J. Padinjaremury

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Background: ANFIS Layers Layer 1: Contains the membership functions with adaptive parameters Layer 2: Relationship between membership functions with fixed parameters (calculates firing strength) Layer 3: Normalizes firing strength Layer 4: Calculates individual output based on the normalized firing strength with adaptive parameters Layer 5: Computes overall output
Background: ANFIS Architecture

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Background: Hybrid Learning Layer 4 parameters are estimated via least squares in the forward pass of the algorithm. (The equation for the individual outputs as a function of inputs) Layer 1 parameters are estimated by back propagation via gradient descent (The parameters for the membership functions)
Application: Moving Perturbed Inverted Pendulum An Inverted Pendulum of Mass 1kg with a mass-less rod of length 1m. The pendulum is free to rotate completely and the point of rotation is fixed in the y axis and free to translate in the x direction.

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