(Solved): Non-Linear Simulation (20) In Simulink, create a NONLINEAR model of the syste ...

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Non-Linear Simulation (20) In Simulink, create a NONLINEAR model of the system by implementing the governing equation of the system using blocks. Use both linear and nonlinear models on the same Simulink model as parallel models and compare their responses. Control both linear and nonlinear models using the best PID controller you found in in HW3. Compare the response of both models for different position reference \( (\mathrm{X} \) desired) values. Present your results in a Table, showing the system response plots. Comment on your results. Simulation with Noise (15) Add a measurement noise in your simulation. You can simply add a white noise to your \( \mathrm{X} \) measurements in the Simulink environment. Observe the effect on the result. Add the system response plots into your report. Comment on your results. Using a Filter (15) Try using a first-order filter on the feedback path to reduce the effect of noise on your system. Observe the filtered and unfiltered measurement signal. Change the cut-off frequency of the filter and observe the response. Comment on the performance of the system. Include system response plots for different first order filters.