Determine PI controller parameters for the following FOPDT model by using online tuning method of Ziegler and Nichols (1942). G(s) = (0.9*e^-2s)/(5*s+1) {m/(l/min)} H(s) = 0.2 {%TO/m} G_v(s) = 0.5 {(l/min)/%CO} where Gs, H, Gv are the transfer functions of process, sensor/transmitter and valve, respectively. Time unit is minutes.

Gs(s)=5s+10.9e2s{l/minm}H(s)=0.2{m%TO}Gv(s)=0.5{%COl/min} where Gs,H,Gv are the transfer fu Kc=15.9{%TO%CO} A) I=9.4min Kc=80.3{%TO%CO} B) I=0.9min Kc=50.7{%TO%CO} C) I=2.1min Kc=30.3{%TO%CO} D) I=4.4min Kc=20.5{%TO%CO} E) I=4.9min