Plot the Bode diagram for a composite transfer function consisting of the one in Exercise 13.8 multiplied by that of a parallel-form PID controller with Kc = 0.21, τ1 = 5, and to τ1 = 0.42. Repent using the same process transfer function but with a series PID controller with filter that employs the same settings. How different are these two diagrams? In particular, by how much do the two amplitude ratios differ when each is evaluated at a value of w that yields a – 180o phase angle?