Answer:
Output voltage equation is
Explanation:
Given:
dc gain dB
Input signal
Now convert gain,
DC gain at frequency is given by,
At zero frequency above equation is written as,
Now we write output voltage as input voltage,
Therefore, output voltage equation is
Answer:
a)
b) attached below
c) type zero system
d) k >
e) The gain K increases above % error as the steady state speed increases
Explanation:
Given data:
Motor voltage = 12 v
steady state speed = 200 rad/s
time taken to reach 63.2% = 1.2 seconds
<u>a) The transfer function of the motor from voltage to speed</u>
let ; be the transfer function of a motor
when i/p = 12v then steady state speed ( k1 ) = 200 rad/s , St ( time constant ) = 1.2 sec
hence the transfer function of the motor from voltage to speed
=
<u>b) draw the block diagram of the system with plant controller and the feedback path </u>
attached below is the remaining part of the detailed solution
c) The system is a type-zero system because the pole at the origin is zero
d) ) k >
