Consider the system below. + 0.2K 2s + T Let the time constant r = 2.43. Determine the value of K, so that the steady state error of the closed-loop system response to a unit step input is zero. For the given value of K in part (a), determine the value of the static error constant and the error of the system for a ramp input.

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Consider the system below.
2
R(s)
Y(s)
s+ 0.2K
2
25 + T
Let the time constant 7 = 2.43.
Determine the value of K, so that the steady state error of the closed-loop system response to a unit step input is
a
zero.
For the given value of K in part (a), determine the value of the static error constant and the error of the system for
b
a ramp input.
Find an expression for the sensitivity of the steady state error to the parameter K. If K is set to the value determined
in (a), interpret the resulting value for the sensitivity.
Transcribed Image Text:Consider the system below. 2 R(s) Y(s) s+ 0.2K 2 25 + T Let the time constant 7 = 2.43. Determine the value of K, so that the steady state error of the closed-loop system response to a unit step input is a zero. For the given value of K in part (a), determine the value of the static error constant and the error of the system for b a ramp input. Find an expression for the sensitivity of the steady state error to the parameter K. If K is set to the value determined in (a), interpret the resulting value for the sensitivity.
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