Use MATLAB's Simulink to obtain the step response of a system,
under the following conditions :
a. The system is linear and driven by an amplifier whose gain is 10.
b. An amplifier whose gain is 10 drives the system. The amplifier saturates at ±0.25 volts. Describe the effect of the saturation on the system's output.
c. An amplifier whose gain is 10 drives the system. The amplifier saturates at ±0.25 volts . The system drives a 1:1 gear train that has backlash. The dead-band width of the backlash is 0.02 rad. Describe the effect of saturation and backlash on the system's output.