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Chapter 4 System Analysis
© National Instruments Corporation 4-19 Xmath Control Design Module
From Figure 4-6 you see that the delay time (t
d
) is about 0.5 seconds,
the rise time (t
r
) is 0.8 seconds, the peak time (t
p
) is 1.6 seconds, the
settling time (t
s
) is about 5.5 seconds, and the maximum overshoot (M
p
)
is about 24%.
Figure 4-6. 15-Second Step Response, Showing Performance Measures
You can compute these values from the 151-point step response data vector
Y and substantiate your estimates.
First, you find the final value of the response:
Yf = makematrix(Y(151));
Get indices of all values > half the final value:
gt_half = find(Y > 0.5*Yf);
Time corresponding to first index in gt_half:
td = domain(Y(gt_half(1,1)))
td (a scalar) = 0.5
Get indices of all values > 0.1 * final value:
gt_1_10 = find(Y > 0.1*Yf);
Mp
tp
ts
tr
td