Determine the transfer function H(s) = Y(s)/R(s) in terms of K   -What will happen to the location of the poles of H(s) as K increases?   -Determine the minimum value of K that will make the system (marginally) stable.

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-Determine the transfer function H(s) = Y(s)/R(s) in terms of K

 

-What will happen to the location of the poles of H(s) as K increases?

 

-Determine the minimum value of K that will make the system (marginally) stable.

A real continuous-time LTI system is given by the block diagram below.
R(s)
+
E(s)
Y(s)
G(s)
The input is denoted by R(s) while the output is denoted by Y(s). The error function, E(s),
is equal to the difference between the input and the output signals, E(s) = R(s) – Y(s).
K(s – 5)
G(s)
s2 – 4s + 29
where K is a positive scaling factor.
Transcribed Image Text:A real continuous-time LTI system is given by the block diagram below. R(s) + E(s) Y(s) G(s) The input is denoted by R(s) while the output is denoted by Y(s). The error function, E(s), is equal to the difference between the input and the output signals, E(s) = R(s) – Y(s). K(s – 5) G(s) s2 – 4s + 29 where K is a positive scaling factor.
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