Figure shows a system for controlling the angular position of a load, such as an antenna. Figure shows the block diagram for PD control of this system using a field-controlled motor. Use the following values:
Ka = 1 V/V
R = 0.3 ?
KT = 0.6 N.m/A
Kpot = 2 V/rad
I1 = 0.01 kg.m2
I2 = 5 x l0-4 kg.m2
l3 = 0.2 kg.m2
a. Assume that the motor inductance is very small and set L = 0. Compute Ie, obtain the transfer function ?(s)/?r(s), and compute the values of the control gains Kp and Kd to meet the following specifications: ? = I and ? = 0.5 s.
b. Use the MATLAB t f function to create the model sys l from this transfer function.
c. Using the values of Kp and Kd computed in part (a), and the value L = 0.015 H, obtain the transfer function ?(s)/?r(s) and use the MATLAB t f function to create the model sys 2 from this transfer function.
d. Use the MATLAB step (sys l, sys2) function to plot the unit step response of both transfer functions. Right-click on the plots to obtain the maximum percent overshoot and settling time for each how close are the two responses? What is the effect of neglecting the inductance?
In Problem 7
This question was answered on: Jul 11, 2017
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