Amplitude 0.6 3.6 2.8 Unit Step Response M 0.5 G(S) 1.5 Time (sec.) Damped Natural Freq (rad/sec) 2.6 a) From the graph, estimate the system's time constant, 2% settling time, % overshoot and steady stat gain. (Write results in boxes below) Time Constant (sec) Steady-State Gain b) Compute an estimate of the system's damped natural frequency and damping ratio. % Overshoot Plant Damping Ratio c(t) Using the above information, find the second order transfer function G(s) = Y(s)/X(s) (Write your result in the box provided)

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Q1) A plant has the response, c(t), to a unit step, aft/ u(t) as shown below.
Amplitude
3.6
2.8
1.8
0.6
0.5
Unit Step Response
1.5
Time (sec.)
G(s) =
Damped Natural Freq (rad/sec)
2.6
a) From the graph, estimate the system's time constant, 2% settling time, % overshoot and steady state
gain. (Write results in boxes below)
% Overshoot
Time Constant (sec)
Steady-State Gain
b) Compute an estimate of the system's damped natural frequency and damping ratio.
a(1)
Transfer Function
Plant
Damping Ratio
c(t)
Using the above information, find the second order transfer function G(s) = Y(s)/X(s) (Write your result
in the box provided)
Transcribed Image Text:Q1) A plant has the response, c(t), to a unit step, aft/ u(t) as shown below. Amplitude 3.6 2.8 1.8 0.6 0.5 Unit Step Response 1.5 Time (sec.) G(s) = Damped Natural Freq (rad/sec) 2.6 a) From the graph, estimate the system's time constant, 2% settling time, % overshoot and steady state gain. (Write results in boxes below) % Overshoot Time Constant (sec) Steady-State Gain b) Compute an estimate of the system's damped natural frequency and damping ratio. a(1) Transfer Function Plant Damping Ratio c(t) Using the above information, find the second order transfer function G(s) = Y(s)/X(s) (Write your result in the box provided)
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