Choose T if the statement is always TRUE, otherwise, choose F. 1. The system is stable for all values of K > 0. 2. The root locus has 4 branches. 3. The system plant is Type 0.

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Choose T if the statement is always TRUE, otherwise,
choose F.
1. The system is stable for all values of K > 0.
2. The root locus has 4 branches.
3. The system plant is Type 0.
For a step input:
4. The system can achieve an overdamped response.
5. The system can achieve a critically damped response.
6. The system can achieve an underdamped response.
7. The system can achieve an undamped response.
8. There is a value of K that would yield a 10% overshoot
for the output.
9. There is a value of K that would yield a settling time of
less than 1 second for the output.
10. A PI controller is needed to reduce the steady-state
error to less than 5%.
Imaginary Axis (seconds)
15
10
-5
-10
-15
-20
-15
*
-10
x
Root Locus
*
-5
Real Axis (seconds ¹¹)
0
5
10
Transcribed Image Text:Choose T if the statement is always TRUE, otherwise, choose F. 1. The system is stable for all values of K > 0. 2. The root locus has 4 branches. 3. The system plant is Type 0. For a step input: 4. The system can achieve an overdamped response. 5. The system can achieve a critically damped response. 6. The system can achieve an underdamped response. 7. The system can achieve an undamped response. 8. There is a value of K that would yield a 10% overshoot for the output. 9. There is a value of K that would yield a settling time of less than 1 second for the output. 10. A PI controller is needed to reduce the steady-state error to less than 5%. Imaginary Axis (seconds) 15 10 -5 -10 -15 -20 -15 * -10 x Root Locus * -5 Real Axis (seconds ¹¹) 0 5 10
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