For a simple first order lag given by: K Gps) = TS + 1 (Eq. 1) (a) Determine the conditions for stability [i.e., limit(s) on the value of Kc) if one uses feedback control and a simple proportional controller (5) G(S) = K. (b) (10) Assume that all process system parameters (K and t) are positive quantities NOTE: The characteristic equation should be quite simple in this case. The effects of unidentified terms in a process model If process control was always as simple as the result you found in part (a), then designing control systems would be easy. Things are usually not that easy. Let us assume that the real system is described by the dynamics: K G',(s) = TS +1 erats (Eq. 2) That is, a small dead time given by 0=et, where 0