s(s Figure Q.3a (i) Determine the gain K for the system operates (ii) Determine the range of gain K for the syster response.

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(a) A control system shown in Figure Q.3a is tested with unit step input.
R(s)
10
C(s)
K
s(s + 9)
Figure Q.3a
(i)
Determine the gain K for the system operates at critically damped response.
(ii)
Determine the range of gain K for the system operates with under-damped
response.
(iii)
Determine value of gain K for the system having damping ratio 0.5, then
identify the system's percentage of overshoot (%OS), peak time (T, ).
settling time (T,), steady state error (ess) and sketch the output response based
on the obtained specifications.
Transcribed Image Text:(a) A control system shown in Figure Q.3a is tested with unit step input. R(s) 10 C(s) K s(s + 9) Figure Q.3a (i) Determine the gain K for the system operates at critically damped response. (ii) Determine the range of gain K for the system operates with under-damped response. (iii) Determine value of gain K for the system having damping ratio 0.5, then identify the system's percentage of overshoot (%OS), peak time (T, ). settling time (T,), steady state error (ess) and sketch the output response based on the obtained specifications.
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