3. Consider the system r where W(s) = = 2 W(s) S Fig. 3 K , K=100: +10s +5 3.1 Determine the static gain of the open loop system; 3.2 Determine the static gain of the closed loop system; 3.2 Find the open loop poles; 3.4 Find the closed loop poles; 3.5 Estimate the settling time of the closed-loop system, (input r(s)=1/s); 3.6 Determine overshoot o of the closed system; 3.7 For the output signal y(t) of closed loop systems, find the frequency and period of the oscillations; 3.8 Find the magnitude and time of first maximum of output signal y(t); 3.9 Find the steady state value of output signal y(t); 3.10 Determine K for which the closed loop system has percent overshoot o = 20%: 3.11 Sketch the root locus of closed loop system as parameter K varies.
3. Consider the system r where W(s) = = 2 W(s) S Fig. 3 K , K=100: +10s +5 3.1 Determine the static gain of the open loop system; 3.2 Determine the static gain of the closed loop system; 3.2 Find the open loop poles; 3.4 Find the closed loop poles; 3.5 Estimate the settling time of the closed-loop system, (input r(s)=1/s); 3.6 Determine overshoot o of the closed system; 3.7 For the output signal y(t) of closed loop systems, find the frequency and period of the oscillations; 3.8 Find the magnitude and time of first maximum of output signal y(t); 3.9 Find the steady state value of output signal y(t); 3.10 Determine K for which the closed loop system has percent overshoot o = 20%: 3.11 Sketch the root locus of closed loop system as parameter K varies.
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Publisher:Robert L. Boylestad
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Question
![3. Consider the system
r
where W(s) =
=
2
W(s)
S
Fig. 3
K
, K=100:
+10s +5
3.1 Determine the static gain of the open loop system;
3.2 Determine the static gain of the closed loop system;
3.2 Find the open loop poles;
3.4 Find the closed loop poles;
3.5 Estimate the settling time of the closed-loop
system, (input r(s)=1/s);
3.6 Determine overshoot o of the closed system;
3.7 For the output signal y(t) of closed loop systems, find
the frequency and period of the oscillations;
3.8 Find the magnitude and time of first maximum of
output signal y(t);
3.9 Find the steady state value of output signal y(t);
3.10 Determine K for which the closed loop system has
percent overshoot o = 20%:
3.11 Sketch the root locus of closed loop system as
parameter K varies.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67cb9962-653a-4ebe-9566-d5454f5d6c0d%2F80b6d70f-60e8-4a2a-a53d-b75221455871%2Fim6tlmr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Consider the system
r
where W(s) =
=
2
W(s)
S
Fig. 3
K
, K=100:
+10s +5
3.1 Determine the static gain of the open loop system;
3.2 Determine the static gain of the closed loop system;
3.2 Find the open loop poles;
3.4 Find the closed loop poles;
3.5 Estimate the settling time of the closed-loop
system, (input r(s)=1/s);
3.6 Determine overshoot o of the closed system;
3.7 For the output signal y(t) of closed loop systems, find
the frequency and period of the oscillations;
3.8 Find the magnitude and time of first maximum of
output signal y(t);
3.9 Find the steady state value of output signal y(t);
3.10 Determine K for which the closed loop system has
percent overshoot o = 20%:
3.11 Sketch the root locus of closed loop system as
parameter K varies.
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Follow-up Question
![3. Consider the system
r
where W(s)
=
W(s)
Fig. 3
K
2
s +10s +5
7
9
K=100:
3.4 Find the closed loop poles;
3.5 Estimate the settling time of the closed-loop
system,(input r(s)=1/s);
3.6 Determine overshoot o of the closed system;
3.7 For the output signal y(t) of closed loop systems, find
the frequency and period of the oscillations;
3.8 Find the magnitude and time of first maximum of
output signal y(t);
3.9 Find the steady state value of output signal y(t);
3.10 Determine K for which the closed loop system has
percent overshoot o = 20% ;
3.11 Sketch the root locus of closed loop system as
parameter K varies.](https://content.bartleby.com/qna-images/question/67cb9962-653a-4ebe-9566-d5454f5d6c0d/bb174be0-19ba-4fab-afcc-edfd19b114e4/f9mny_thumbnail.jpeg)
Transcribed Image Text:3. Consider the system
r
where W(s)
=
W(s)
Fig. 3
K
2
s +10s +5
7
9
K=100:
3.4 Find the closed loop poles;
3.5 Estimate the settling time of the closed-loop
system,(input r(s)=1/s);
3.6 Determine overshoot o of the closed system;
3.7 For the output signal y(t) of closed loop systems, find
the frequency and period of the oscillations;
3.8 Find the magnitude and time of first maximum of
output signal y(t);
3.9 Find the steady state value of output signal y(t);
3.10 Determine K for which the closed loop system has
percent overshoot o = 20% ;
3.11 Sketch the root locus of closed loop system as
parameter K varies.
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