Consider the tank heater system shown in the figure below. In this system a liquid enters the tank with a flowrate F1(m3/min) and a temperature T1(K), where it is heated by using an electric heater. 1.4) Assume the feedback controller to have the. following transfer functions for the various components: Gs=2,Gb=3S+11,G1=1,Gf=5S+11 Determine the stability of the closed loop system using the RouthHurwitz stability criterion. ke 1.5) If the set point is stepped by a unit amount determine the ultimate value and the off-set for the above system. Derive the equation that is used to determine the above, making the necessary simplifying assumptions. Consider the tank heater system shown in the figure below. In this system a liquid enters the tank with a flowrate F1(m3/min) and a temperature T1(K), where it is heated by using an electric heater. 1.4) Assume the feedback controller to have the. following transfer functions for the various components: Gs=2,Gb=3S+11,G1=1,Gf=5S+11 Determine the stability of the closed loop system using the RouthHurwitz stability criterion. ke 1.5) If the set point is stepped by a unit amount determine the ultimate value and the off-set for the above system. Derive the equation that is used to determine the above, making the necessary simplifying assumptions