Write a MATLAB script and design a Simulink diagram that implements the solution to Problem 12.8 with different filter parameter values N, and discuss the set-point step responses obtained by considering the effect of measurement noise on the process output.
Problem 12.8
For the PID controller that results by applying the Ziegler-Nichols tuning rules to the process
![773_91b32d9f-75ec-4960-9030-9cf5f3498b2d.png](https://secure.tutorsglobe.com/CMSImages/773_91b32d9f-75ec-4960-9030-9cf5f3498b2d.png)
determine the discretized PID controller transfer functions (12.11) and (12.12) with N 5 10 and T = 0.1.