H(s) = 1

Mumbai University > Electronics Engineering > Sem 4 > Linear Control Systems

Topic: Stability Analysis in Frequency Domain

Difficulty : High

Marks : 10M

Given => $\frac{288(s+4)}{s(s+1)(s^2 +4.8s +144)}$

step I => Bring equation in the standard fims constant form

G(s)H(s) = $\frac{288*4*(\frac{s}{4} +1)}{144s(s+1)(\frac{s^2}{144} + \frac{4.8s}{144}+1)}$

Step 2 => Get freq domain transfer function s=jw,

GH(jw) = $\frac{288*4*(\frac{jw}{4} +1)}{144jw(jw+1)(1+ j0.033w-\frac{w^2}{144}}$

GH(jw) = $\frac{8*(\frac{jw}{4} +1)}{jw(jw+1)(1+ j0.033w-\frac{w^2}{144}}$

Comparing the quadrate pole with standard equation,

1 + …