10(s+4)(S+6) Write the output, c(t) in general 1. A system has a transfer function, G(s) = (s+1)(s+7) (s+8)(s+10)* terms if the input is a unit step. Also plot the zeros and poles on the s-plane.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Poles, Zeros, and System Response
1. A system has a transfer function, G(s)
10(s+4) (S+6)
(s+1)(s+7) (s+8)(s+10)*
terms if the input is a unit step. Also plot the zeros and poles on the s-plane.
50
S+50*
=
2. A system has a transfer function, G(s) =
=
Write the output, c(t) in general
Find the time constant, Tc, settling time, Ts, and
rise time, Tr.
3. Differentiate overdamped, underdamped, undamped and critically damped responses for
second-order systems. You can draw their step responses.
Transcribed Image Text:Poles, Zeros, and System Response 1. A system has a transfer function, G(s) 10(s+4) (S+6) (s+1)(s+7) (s+8)(s+10)* terms if the input is a unit step. Also plot the zeros and poles on the s-plane. 50 S+50* = 2. A system has a transfer function, G(s) = = Write the output, c(t) in general Find the time constant, Tc, settling time, Ts, and rise time, Tr. 3. Differentiate overdamped, underdamped, undamped and critically damped responses for second-order systems. You can draw their step responses.
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