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Laplace Transform
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F(s) f(t) t > 01 (t)
(t-T)
F(s) f(t) t > 0F(s) f(t) t > 0
t
Page 1.1
Response of an underdamped second order system
where
= damping factor
n = natural frequency
pi = system pole = n [ - j 1- 2 ]
Transient Response to a step change in x of A units
where
d = n 1-2
1. Fractional overshoot
2. Decay ratio
3. Envelope of Response
where
yt = y at time t
Rise time
Page 1.2Frequency Response
1. Amplitude Ratio
2. Phase Shift
3. Resonant Frequency
4. Resonant Peak
Step response of a second order system
