Question

Find the poles and zeros of the following functions (including the ones at infinity, if any). Mark the finite poles with x and the finite zeros with o in the s-plane.

G(s) = 10(s + 2)/s²(s + 1)(s + 10)

Answer 1

The poles and zeros of the function G(s) = 10(s + 2)/s²(s + 1)(s + 10) are -10, -1, 0, and -2.

Step-by-step explanation:

To find the poles and zeros of the function G(s) = 10(s + 2)/s²(s + 1)(s + 10), we set the denominator equal to zero and solve for s. The finite poles are the values of s that make the denominator zero. In this case, the finite poles are -10, -1, and 0.

The finite zeros are the values of s that make the numerator zero. In this case, the finite zero is -2.

There are no poles or zeros at infinity.