Consider a control system where Gp=10/[1+5s];Gv=0.5/[1+1.5s] and a sensortransmission combine is present. Obtain the optimum range of values of the gain for a P controller for each of the following cases regarding the dynamics of the sensortransmission combine, separately by Routh Analysis and Frequency Response to the extent possible. (a) Zero-order element: Gm=2. (b) First-order element: Gm=2/[1+0.5s] (20 marks)