1 SL+R A closed loop negative feedback system is used to control the position of a load. The system has a differential amplifier with a transfer function of Kas operating a motor with a transfer function of- The output from the motor goes to a gearbox with a gear ratio of N. The gearbox in turn operates a lead screw to position the load, the lead screw has a transfer function of A potentiometer is used to give the position feedback, this gives a feedback voltage with a transfer function of K 1. Draw a labelled block diagram of the system as described above. 2. Given the following values implement the system in Simulink L=450mH R=150 Gearbox ratio N=0.25 Differential Amplifier Gain Ka=7 Potentiometer Gain (KP) 1.25 V/mm Input 3. Derive the Closed loop transfer function for the system 4. 5. Determine the overall system gain (Kays) Simulate the system with the following inputs. For each input Complete Table 1 with the Final output value a. b. Include a plot of the output Table 1 Input Output 1V 3V 7V 10V Differential Amplifier Controller Motor Gearbox LeadScrew Figure 1 System Representation Load Unear potentiometer