Question

UNIT STEP RESPNSE amplitude 0.05 6 1 5 time (seconds) [1 mark] Indicate your answers/points of reference on the figure clearly for full mark i. Response Type (under-, critical- or over-damped) [1.5 mark] ii. System steady state Gain [1.5 mark] iii. Settling Time iv. The Peak Time [1.5 mark] v. The Percent overshoot [1.5 mark]

Answer 1

ANSWER:

Response type	Under damped
System steady state gain	0.2
Settling Time	6 sec.
The peak time	0.7sec
The percent overshoot	85%

For understanding only:

Gain is ratio of output value to input , here step input ,i.e. i/p=1, o/p=0.2, thus Gain=0.2/1=0.2

Basically the Settling time is time taken for response error becoms within 2%. As per this her error should be within 0.004 and time taken by system to reach this is around 6 sec. As the response line is too bold fonted to find this much minor, so varify this 6 sec. value with this basics.

Also peak time is to time taken to reach peak value, here as I got the image it is around 0.7 sec. so varify this by roller scale.

Percent over shoot: it is percent differance of peak value than steady state value reffer to steady state value =(0.37-0.2)*100/0.2)=85%