Programs/code

We implemented a first order low pass filter in Matlab with a cuttoff frequency of 2 rad/s. The code is the following:

CODE:

clear all; clc; close all;

sampFrequ = 20;     %in Hz

sampleTime = 1/sampFrequ

wc = 2

tf_filter = tf([wc],[1 wc])

filter_discrete = c2d(tf_filter,sampleTime,'zoh')

Results:

filter_discrete =

   0.09516

  ----------

  z - 0.9048

Sample time: 0.05 seconds

Discrete-time transfer function.

The following formula was obtained using a ZOH.