2. [20 pts] a) Consider the following unstable process: G(s) = 3 S-4 Find the range of proportional gains that will assure the stabilization of this process with a PI controller having an integral time constant of T=1. [20 pts] b) Suppose that the process transfer function has a time delay of 2 minutes. Does the range of K, determined in part (a) still yield a stable system? Use 1/1 Pade approximation and show your work.

2. [20 pts] a) Consider the following unstable process: G(s)=s43 Find the range of proportional gains that will assure the stabilization of this process with a PI controller having an integral time constant of 1=1. [20 pts] b) Suppose that the process transfer function has a time delay of 2 minutes. Does the range of Kc determined in part (a) still yield a stable system? Use 1/1 Pade approximation and show your work