A feedback control system has the open-loop transfer function, GOL(s) = 0.5Kce–3s / (10s + 1). Determine the values of Kc for which the closed-loop system is stable using two approaches:
(a) An approximate analysis using the Routh stability criterion and a 1/1 Padé approximation for e–3s.
(b) An exact analysis based on substitution of s = jw.
A process control system contains the following transfer functions: