Question

What is the numerator of D[z], if you use the 'class default' pole/zero mapping discrete equivalent technique to obtain a D[z] given the following D[s] ? Let the sample period be T=0.02 seconds.

D [s] = (4s+2) / (s+1)(s+2)(s=10)

Answer 1

The numerator of D[z] using the 'class default' pole/zero mapping discrete equivalent technique is 4z + 38.

Step-by-step explanation:

In order to find the numerator of D[z] using the 'class default' pole/zero mapping discrete equivalent technique, we need to find the numerator of D[s] and then substitute the values.

Given D[s] = (4s+2) / (s+1)(s+2)(s+10), we can expand the numerator and simplify:

4s + 2 = 4s + 40 - 38 = 4s + 38

Therefore, the numerator of D[z] using the 'class default' pole/zero mapping discrete equivalent technique is 4z + 38.