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ECE-320, Practice Quiz #4 1) For the following system 21s +43ss+++ - 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? 43ss−+21s++ - a) yes b) no 3) For the block diagram below, the value of the prefilter that produces zero pfGsteady state error for a unit step input is: a) 1 b) 3/2 c) 3 d) 1/3 pfG2(5)ss+ 23s++-4) The second order ITAE transfer function can be written as 202200()1.4oGsssωωω=++ Increasing 0ωhas what general effect on the settling time, sT ? a) it increases sT b) it decreases sT c) it has no effect onsT 5) For the following system if the plant is 2()3psGs=+ and the desired closed loop transfer function is 025()25sssG =++, then the required controller is a) 5( 3)()(2csGsss+=+ ) b) 5( 3)()2( 2)csGsss+=+ c) (3)()2( 2)csGsss+=+ d) none of these ()cGs + ()pGs -Problems 6-8 refer to the following system: 13s + 21ss+++- pfG 6) Assuming the prefilter is 1, the position error constant pfGpK is best approximated as a) 2/3 b) 2/5 c) 1 d) 0 7) Assuming the prefilter is 1, the steady state error for a unit step is best approximated as pfG a) 1/3 b) 3/2 c) 3/5 d) 2/5 8) The value of the prefilter that produces a steady state error of zero is: pfG a) 1 b) 3/2 c) 5/2 d) 1/3 Problems 9-11refer to the following system 13s + 2ss++- pfG 9) Assuming the prefilter is 1, the velocity error constant is best approximated as pfGvK a) 2/3 b) 2/5 c) 1 d) 0 10) Assuming the prefilter is 1, the steady state error for a unit ramp input is best approximated as pfG a) 1/3 b) 3/2 c) 3/5 d) 2/5 11) Assuming the prefilter is 1, the steady state error for a unit step input is best approximated as pfG a) ∞ b) 0 c) 3/5 d) 2/5Problems 12- 14 refer to the following system: 12s + 23ss++-+ pfG12) Assuming the prefilter is 1, the position error constant pfGpK is best approximated as a) 2/3 b) 1/3 c) 1 d) 0 13) Assuming the prefilter is 1, the steady state error for a unit step is best approximated as pfG a) 1/3 b) 2/3 c) 3/4 d) 4/3 14) The value of the prefilter that produces a steady state error of zero is: pfG a) 1 b) 3/2 c) 4 d) 1/3 Problems 15-17 refer to the following system 13s + 6ss+ -+pfG 15) Assuming the prefilter is 1, the velocity error constant is best approximated as pfGvK a) 2/3 b) 2 c) 1 d) 0 16) Assuming the prefilter is 1, the steady state error for a unit ramp input is best approximated as pfG a) 1/2 b) 3/2 c) 2 d) 2/5 17) Assuming the prefilter is 1, the steady state error for a unit step input is best approximated as pfG a) ∞ b) 0 c) 3/5 d) 218) For a system represented by the following Bode plot, The (2%) settling time for this system is approximately a) 120 sec b) 420 sec c) 110 sec d) 410 sec e) none of these Answers: 1-b, 2-b, 3-a, 4-b, 5-b, 6-a, 7-c, 8-c, 9-a, 10-b, 11-b, 12-b, 13-c, 14-c, 15-b, 16-a, 17-b,


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Rose-Hulman ECE 320 - ECE 320 Quiz 4

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