We used MatLab to calculate the PI controller discrete equation:
>> numC = [0 0 4.992];
>> denC = [1.6e-7 2.5e-4 1];
>> C = tf(numC,denC)
C =
4.992
---------------------------
1.6e-07 s^2 + 0.00025 s + 1
Continuous-time transfer function.
>> denC
denC =
0.0000 0.0003 1.0000
>> sisotool(C)
>> nNew = [0 0 58.428]
nNew =
0 0 58.4280
>> dNew= [ 0 1 0 ]
dNew =
0 1 0
>> newTf = tf(nNew, dNew)
newTf =
58.43
-----
s
Continuous-time transfer function.
>> dz = c2d(newTf, 0.001, 'zoh')
dz =
0.05843
-------
z - 1
Sample time: 0.001 seconds
Discrete-time transfer function.
>> dz = c2d(newTf, 0.0001, 'zoh')
dz =
0.005843
--------
z - 1
Sample time: 0.0001 seconds
Discrete-time transfer function.