Fuzzy Logic Control HW

The input$-$output data of a system is given in which it has one input $u$ as the voltage and output is the response of that black$-$box system $y,$ and $t$ is the simulation time for the system response. The structure of the system is completely unknown and we are going to model the behavior of the system using Neuro$-$Fuzzy toolbox in Matlab as ANFIS. For this, you need to use an appropriate data set to be fed into the ANFIS toolbox. The data set can be chosen by the ARX system identification method. Starting with the data selection procedure, extract a fuzzy model for the given data set. Compare the output of the estimated model with the exact output. Then design fuzzy controllers for your model, based on the methods described in the attached papers. The fuzzy controllers shall be designed in a way that the system output can track the behavior of a step input applied to the system as reference with minimum error. You should tune the parameters of the fuzzy controllers using the Genetic Algorithm.

Write a complete report for your modeling and control and include all your simulation results in a single pdf$.$

Important Notes:

Your Matlab code for the ARX model should work properly and included.

The mat file for the training and testing data provided by the ARX model must be included.

Your fuzzy fis model shall be included.

Your Simulink design for the whole system must run without any error, otherwise you will get no credits.

You must be able to present your work including all the steps with the codes to the instructor in an online$/$face to face meeting, otherwise you will get no credits.

You must include your files in a single zip with their explanations.

Plagiarism

You are NOT allowed to use any AI based language models for your codes, otherwise you get zero.