A feed-back control system is designed with the characteristics of the elements involved as per below: The process is modelled by a second order transfer function Gp relating the output controlled variable with the manipulated one. The control valve is Air-to-Close exhibiting first order dynamics. The sensor is a direct acting sensor with a constant transfer function. (i) Build the block diagram of the control system including all transfer functions. (ii) Derive the governing transfer function relating response of the controlled variable (Y) to its set point changes (Ysp) (iii) Assuming the system is put under proportional control (P) only, conduct a stability analysis and determine stability range on Kc. (iv) Suggest an approximate set of control parameters for a parallel PI controller to the system above.Parameter Value Process gain (Kp) 2 Process time constant (t) 3 Damping factor (z) 1.5 Sensor gain (absolute value) |Km| 1 Valve gain (absolute value) |Kv| 0.3 Valve time constant (tv) 0.5 tc desired 1