a. For the second-order prototype system, when the undamped natural frequency @n increases, the maximum overshoot of the output stay the same. (True, False) b. Increasing the undamped natural frequency @n will generally increase the rise time of the step response. (True, False) c. Increasing the damping ratio Š will generally reduce the settling time of the step response. (True, False) d. If a unity feedback control system type is 2, then it is certain that the steady-state error of the system to a step input or a ramp input will be zero. (True, False) e. If the numbers in the first column of Routh's tabulation turn out to be all negative, then the equation for which the tabulation is made has at least one root not in the right half of the s-plane. (True, False) f. The roots of the auxiliary polynomial p(s) of Routh's tabulation of a characteristic equation must also be the roots of the latter. (True, False)
a. For the second-order prototype system, when the undamped natural frequency @n increases, the maximum overshoot of the output stay the same. (True, False) b. Increasing the undamped natural frequency @n will generally increase the rise time of the step response. (True, False) c. Increasing the damping ratio Š will generally reduce the settling time of the step response. (True, False) d. If a unity feedback control system type is 2, then it is certain that the steady-state error of the system to a step input or a ramp input will be zero. (True, False) e. If the numbers in the first column of Routh's tabulation turn out to be all negative, then the equation for which the tabulation is made has at least one root not in the right half of the s-plane. (True, False) f. The roots of the auxiliary polynomial p(s) of Routh's tabulation of a characteristic equation must also be the roots of the latter. (True, False)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:(1) Please circle the correct answer of the following questions: (` ts)
a. For the second-order prototype system, when the undamped natural frequency @n
increases, the maximum overshoot of the output stay the same. (True, False)
b. Increasing the undamped natural frequency @n will generally increase the rise
time of the step response. (True, False)
c. Increasing the damping ratio 5 will generally reduce the settling time of the step
response. (True, False)
d. If a unity feedback control system type is 2, then it is certain that the steady-state
error of the system to a step input or a ramp input will be zero. (True, False)
e. If the numbers in the first column of Routh's tabulation turn out to be all negative,
then the equation for which the tabulation is made has at least one root not in the
right half of the s-plane. (True, False)
f. The roots of the auxiliary polynomial p(s) of Routh’s tabulation of a
characteristic equation must also be the roots of the latter. (True, False)
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