a. In the unity feedback system in Figure 1, at least how many poles of Gs must be at the origin for the steady-state error due to the ramp input to be zero?
i. 1
ii. 2
iii. 3
iv. 4
b. If the static error constant K = 100, then the steady-state errors for step and ramp inputs are:
i. ess_step = 0, ess_ramp = 0
ii. ess_step = 0, ess_ramp ≠0
iii. ess_step ≠0, ess_ramp = 0
iv. ess_step ≠0, ess_ramp ≠0
c. If KGsHIs represents the open-loop transfer function of a system, then the gain K and the closed-loop poles of the system satisfy which equation?
i. KGsHIs = 1
ii. KGsHIs = -1
iii. KGsHIs = 0
iv. KGsHIs = HIs
d. If the open-loop transfer function is given by K(s+2)/(s^4+2s+2), how many open-loop zeros are at infinity?
i. 1
ii. 3
iii. 4
iv. 0
e. Which of the following statements is incorrect?
i. Root-locus is symmetric about the x-axis.
ii. Root-locus starts at open-loop poles and ends at open-loop zeros.
iii. Root-locus graph tracks the closed-loop poles as the gain varies.
iv. None.