Download Linear Systems and Control

Assignment# 1
Introduction to
control systems
P-1] The purpose of this system is to have the azimuth angle
output follow the input angle. The input command is an angular
displacement. The potentiometer converts the angular
displacement into a voltage. Similarly, the output angular
displacement is converted to a voltage by the potentiometer in
the feedback path. The signal and power amplifiers boost the
difference between the input and output voltages. This amplified
actuating signal drives the plant. The system operates to drive the
error to zero when the input and the output match, the error will
be zero and the motor will not run.
Sketch the block diagram describing the feedback control
loop and Find the closed loop transfer function.
P-2] Consider the system shown below. Assume
that there is no signal processing such that the 8bits output of the ADC are sent directly to the
DAC. Find Vo if Vi is 5V, 6V and 7.5V. Comment
on your results.