a. If a proportional-only controller is used, what us the maximum value of controller gain Kc that will result in a stable closed-loop system? (Determine the EXACT value of Kc, not an approximate value. Solve part a using direct substitution.

b. Specify a PI controller using the AMIGO controller settings

c. Find the condition for stability (again, Gc=Kc) making use of the 1/1 Pad approximation. Are there any values of Kc where the analysis using the Pad approx. would have mistakenly chosen a controller gain that would give an unstable system based on the exact analysis? If so, what are they?

A process, including the sensor and control valve, can be modeled by the transfer function: 4e-36 G(s) = 8