3. Consider the following closed-loop Transfer function. Determine the range for K for the system to be always stable. R(s) E(s) K s(s+7Xs+ 11)

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3. Consider the following closed-loop Transfer
function. Determine the range for K for the system to
be always stable.
R(s) +
E(s)
K
C(s)
s(s+ 7Xs+ 11)
4.
A first order system is given by the following transfer function, G(s).
Y(s)
50
G(s)
R(s) (s+ 20)
i) Convert the transfer function into a standard representation of first order system.
ii) Determine the gain, K, and time constant,t, from the answer obtained in Part (i).
iii) Find the output response, Y(s), if a unit step input.R(s), is applied to the system.
Transcribed Image Text:3. Consider the following closed-loop Transfer function. Determine the range for K for the system to be always stable. R(s) + E(s) K C(s) s(s+ 7Xs+ 11) 4. A first order system is given by the following transfer function, G(s). Y(s) 50 G(s) R(s) (s+ 20) i) Convert the transfer function into a standard representation of first order system. ii) Determine the gain, K, and time constant,t, from the answer obtained in Part (i). iii) Find the output response, Y(s), if a unit step input.R(s), is applied to the system.
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