1 ECE-320, Practice Quiz #3 1) For the following system The dynamic prefilter which cancels the closed loop zeros and produces a zero steady state error for a unit step input is a) 1184s b) 1124s c) 114s d) 324s 2) For the following system, is it possible to construct a dynamic prefilter to cancel the closed loop zero and produce a zero steady state error for a unit step input? a) yes b) no 3) For the block diagram below, the value of the prefilter pfG that produces zero steady state error for a unit step input is: a) 1 b) 3/2 c) 3 d) 1/3 + - + - + -2 Problems 4-6 refer to the following system: 4) Assuming the prefilter pfGis 1, the position error constant pK is best approximated as a) 2/3 b) 2/5 c) 1 d) 0 5) Assuming the prefilter pfGis 1, the steady state error for a unit step is best approximated as a) 1/3 b) 3/2 c) 3/5 d) 2/5 6) The value of the prefilter pfG that produces a steady state error of zero is: a) 1 b) 3/2 c) 5/2 d) 1/3 Problems 7-9refer to the following system 7) Assuming the prefilter pfGis 1, the velocity error constant vK is best approximated as a) 2/3 b) 2/5 c) 1 d) 0 8) Assuming the prefilter pfGis 1, the steady state error for a unit ramp input is best approximated as a) 1/3 b) 3/2 c) 3/5 d) 2/5 9) Assuming the prefilter pfGis 1, the steady state error for a unit step input is best approximated as a) b) 0 c) 3/5 d) 2/5 + - + -3 Problems 10- 12 refer to the following system: 10) Assuming the prefilter pfGis 1, the position error constant pK is best approximated as a) 2/3 b) 1/3 c) 1 d) 0 11) Assuming the prefilter pfGis 1, the steady state error for a unit step is best approximated as a) 1/3 b) 2/3 c) 3/4 d) 4/3 12) The value of the prefilter pfG that produces a steady state error of zero is: a) 1 b) 3/2 c) 4 d) 1/3 Problems 13-15 refer to the following system 13) Assuming the prefilter pfGis 1, the velocity error constant vK is best approximated as a) 2/3 b) 2 c) 1 d) 0 14) Assuming the prefilter pfGis 1, the steady state error for a unit ramp input is best approximated as a) 1/2 b) 3/2 c) 2 d) 2/5 15) Assuming the prefilter pfGis 1, the steady state error for a unit step input is best approximated as a) b) 0 c) 3/5 d) 2 + - + -4 Problems 16 and 17 refer to the following root locus plot. 16) Is it possible to find a value of k so that -6 is a closed loop pole? a) Yes b) No 17) When k = 623 two poles of the closed loop system are purely imaginary. In order for the system to remain stable a) 0 623k b) k > 623 c) k > 0 d) k < 0 -12 -10 -8 -6 -4 -2 0-10-50510Root LocusReal AxisImaginary Axis5 Problems 18 and 19 refer to the following root locus plot 18) Is it possible to find a value of k so that -5 is a closed loop pole? a) Yes b) No 19) When k = 0.795 two poles of the closed loop system are purely imaginary. In order for the system to remain stable a) 0 < k < 0.795 b) k > 0.795 c) k > 0 d) k < 0 -12 -10 -8 -6 -4 -2 0 2 4 6 8-5-4-3-2-1012345Root LocusReal AxisImaginary Axis6 Problems 20-22 refer to the following system The closed loop poles of the system are at 2.91 11.1j and -15.2 20) The best estimate of the settling time is a) 41 seconds b) 420 seconds c) 415.2 seconds d) 42.91 seconds 21) The best estimate of the steady state error for a unit step input is a) 1101 b) 1100 c) 0 d) 22) The best estimate of the steady state error for a unit ramp input is a) 0 b) c) 1100 d) 1101 + -7 Problems 23-25 refer to the following root locus plot for a unity feedback system with a plant and a controller. 23) Based on this root locus plot, the best estimate of the poles of the closed loop system are a) 0, -2, and -20 b) -4+18j, -4-18j, -14 24) Is this a type one system? a) yes b) no 25) Is this a stable system? a) yes b) no -20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0-60-40-200204060Root Locus Editor for Open Loop 1 (OL1)Real AxisImag Axis8 Problems 26-28 refer to the following root locus plot for a unity feedback system with a plant and a controller. 26) Based on this root locus plot, the best estimate of the poles of the closed loop system are a) -1+j3, -1-3j b) -4+3j, -4-3j, -0.5 27) Is this a type one system? a) yes b) no 28) Is this a stable system? a) yes b) no Answers: 1-b, 2-b, 3-a, 4-a, 5-c, 6-c, 7-a, 8-b, 9-b, 10-b, 11-c, 12-c, 13-b, 14-a, 15-b, 16-b, 17-a, 18-a, 19-b, 20-d, 21-c, 22-c, 23-b, 24-a, 25-a, 26-b, 27-a, 28-a -8 -7 -6 -5 -4 -3 -2 -1 0-4-3-2-101234Root Locus Editor for Open Loop 1 (OL1)Real AxisImag
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