(Solved): Control System Please design using the parameters and criterias given below using Simulink. Ple ...

Control System

Please design using the parameters and criterias given below using Simulink. Please attach screenshots of the simulink diagram and output graphs.

derive the mathematical modeling and steps, also describe a little( if possible)

Briefly description of the project A position control system converts a position input command to a position output response. Position control systems find widespread applications in antennas, and robot arms. An antenna azimuth position control system is shown in Figure 1, is one example of a system that uses position control systems. The purpose of this system is to have the azimuth angle output of the antenna, 0ot, follow the input angle of the potentiometer, 0it Potentiometer Antenna 00(1) Azimuth angle output 0;(t) Desired azimuth angle input Differential amplifier and power amplifier Motor Figure 1. Electrical Circuit of DC Motor Potentiometer System Requirement The constants and variables for this project are defined as follows: V 10 V n 10 Kb 0.5 V/rad/sec K? 100 Ra 8 ? Ja 0.02 kg m² Da 0.01 N-m s/rad K? 0.5 N? 25 N? 250 N3 250 J? 1 kg m² D? 1 N-m s/rad Design criteria Design a controller to obtain the desired performance: 1. T, less than 2 seconds 2. %OS less than 25% 3. Steady-state error, ess less than 0.05 Input voltage Number of turn potentiometer Electromotive force constant Power amplifier gain Armature resistance Moment of inertia of the rotor Motor viscous friction constant Motor torque constant Number of teeth, gear 1 Number of teeth, gear 2 Number of teeth, gear 12 Moment of inertia of the rotor load Load viscous friction constant