ECE-320, Practice Quiz #2

Transcription

1 ECE-320, Practice Quiz #2 Problem 1 and 2 refer to a ytem with pole at -2+5j. -2-5j. -10+j, -10-j, and -20 1) The bet etimate of the ettling time for thi ytem i a) 2 econd b) 0.4 econd c) 4/5 econd d) 0.2 econd 2) The dominant pole() of thi ytem are a) -2+5j and -2-5j b) -10+j and -10-j c) -20 Problem 3 and 4 refer to the unit tep repone of a ytem, hown below Step Repone Input Output 1.4 Diplacement Time (ec) 3) The bet etimate of the teady tate error for a unit tep input i a) 0.2 b) -0.2 c) 1.0 d) ) The bet etimate of the percent overhoot i a) 200% b) 100% c) 67% d) 20% 5) The unit tep repone of a ytem i given by y(t) 0.5u(t) tu(t) t 4 e t u(t) e t u(t) The teady tate error for a unit tep input for thi ytem i bet etimated a a) b) 0.5 c) 2.0 d) -0.5 e) impoible to determine 6) The unit tep repone of a ytem i given by y(t) 0.5u(t) t 4 e t u(t) e t u(t) The teady tate error for a unit tep input for thi ytem i bet etimated a a) b) 0.5 c) 2.0 d) -0.5 e) impoible to determine 1

2 Problem 7 and 8 refer to the unit tep repone of a ytem, hown below Step Repone Input Output 1 Diplacement Time (ec) 7) The bet etimate of the teady tate error for a unit tep input i a) 0.2 b) -0.2 c) 0.3 d) 0.0 e) impoible to determine 8) The bet etimate of the percent overhoot i a) 75% b) 50% c) 40% d) 25% 2

3 9) The unit ramp repone of a ytem i hown below: 4 Ramp Repone Diplacement Input Output Time (ec) The bet etimate of the teady tate error i a) 0.3 b) -0.3 c) 0 d) 0.5 e) ) The unit ramp repone of a ytem i hown below: 12 Ramp Repone 10 8 Diplacement Input Output Time (ec) The bet etimate of the teady tate error i a) 0.75 b) c) 1.5 d)

4 t 11) The unit ramp repone of a ytem i given by y( t) 0.5 u( t) tu( t) e u() t. The bet etimate of the teady tate error i a) 0.5 b) 2.0 c) 1.0 d) e) -0.5 t 12) The unit ramp repone of a ytem i given by y( t) 0.5 u( t) 2 tu( t) e u( t) The bet etimate of the teady tate error i a) 0.5 b) 2.0 c) 1.0 d) e) -0.5 Problem 13 and 14 refer to the figure below, which how the unit tep repone of a real 2nd order ytem and the unit tep repone of a econd order model we are trying to match to the real ytem Diplacement Model Real Sytem Time (ec) 13) In order to make the model better match the real ytem, the damping ratio of the model hould be a) increaed b) decreaed c) left alone d) impoible to determine 14) In order to make the model better match the real ytem, the natural frequency of the model hould be a) increaed b) decreaed c) left alone d) impoible to determine 4

5 Problem refer to the figure below, which how the unit tep repone of a real 2nd order ytem and the unit tep repone of a econd order model we are trying to match to the real ytem Diplacement Input Model Real Sytem ) In order to make the model better match the real ytem, the damping ratio of the model hould be a) increaed b) decreaed c) left alone d) impoible to determine 16) In order to make the model better match the real ytem, the natural frequency of the model hould be a) increaed b) decreaed c) left alone d) impoible to determine 17) In order to make the model better match the real ytem, the tatic gain of the model hould be a) increaed b) decreaed c) left alone d) impoible to determine 5

6 18) For the following ytem the pole of the controller G c () i at -15 the pole of the plant G p () are at -1 and -2 the pole of the cloed loop ytem are at -7.1, j, j The bet etimate of the ettling time of the cloed loop ytem i a) 4 econd b) 4/15 econd c) 4/7.1 econd d) 4/5.r3 econd 6

7 19) The (dark) haded area in the -plane figure below how the poible pole location for an ideal econd order ytem that meet which of the following contraint? T b) T 1 c) T 4 d) T 4 e) none of thee a) 1 20) The (dark) haded area in the -plane figure below how the poible pole location for an ideal econd order ytem that meet which of the following contraint? a) Tp 1 b) Tp 1 c) Tp d) Tp e) none of thee 7

8 21) The (dark) haded area in the -plane figure below how the poible pole location for an ideal econd order ytem that meet which of the following contraint? a) PO 20% b) PO 20% 22) The (dark) haded area in the -plane figure below how the poible pole location for an ideal econd order ytem that meet which of the following contraint? T b) T 1 c) T 4 d) T 4 e) none of thee a) 1 8

9 23) Auming we are allowed to place our pole only in the (dark) haded area, which of the following two haded region will in general reult in a maller ettling time for our ytem? a) the region in the top figure b) the region in the bottom figure 9

10 24) Auming we are allowed to place our pole only in the (dark) haded area, which of the following two haded region will in general reult in a maller time to peak for our ytem? a) the region in the top figure b) the region in the bottom figure 10

11 25) One of the haded region below how the poible pole location for a percent overhoot le than 10%, and the other how the poible pole location for a percent overhoot le than 20%. Which of the two graph how the poible pole location for a percent overhoot le than 20%? a) the region in the top figure b) the region in the bottom figure 11

12 Problem refer to the following ytem, where G 2 p() 3 and G () c k 26) For thi ytem, the poition error contant, K p, i a) k b) 3 k c) 2 k 3 d) none of thee 27) The teady tate error for a unit tep input i a) e 0 b) e 1 c) k e 1 1 k d) e 3 e) k e 3 3 k f) e 3 2k g) none of thee 28) The (2%) ettling time for thi ytem i a) T 4 1 2k b) T 4 3 2k c) T 4 2 3k d) none of thee 29) For the block diagram below, the value of the prefilter G pf that produce zero teady tate error for a unit tep input i: a) 1 b) 3/2 c) 3 d) 1/

13 Problem refer to the following ytem: ) Auming the prefilter Gpf i 1, the poition error contant K p i bet approximated a a) 2/3 b) 2/5 c) 1 d) 0 31) Auming the prefilter Gpf a) 1/3 b) 3/2 c) 3/5 d) 2/5 i 1, the teady tate error for a unit tep i bet approximated a 32) The value of the prefilter G pf that produce a teady tate error of zero i: a) 1 b) 3/2 c) 5/2 d) 1/3 Problem refer to the following ytem ) Auming the prefilter Gpf i 1, the velocity error contant K v i bet approximated a a) 2/3 b) 2/5 c) 1 d) 0 34) Auming the prefilter Gpf a) 1/3 b) 3/2 c) 3/5 d) 2/5 35) Auming the prefilter Gpf a) b) 0 c) 3/5 d) 2/5 i 1, the teady tate error for a unit ramp input i bet approximated a i 1, the teady tate error for a unit tep input i bet approximated a 13

14 Problem refer to the following ytem: + 36) Auming the prefilter Gpf i 1, the poition error contant K p i bet approximated a a) 2/3 b) 1/3 c) 1 d) 0 37) Auming the prefilter Gpf a) 1/3 b) 2/3 c) 3/4 d) 4/3 i 1, the teady tate error for a unit tep i bet approximated a 38) The value of the prefilter G pf that produce a teady tate error of zero i: a) 1 b) 3/2 c) 4 d) 1/3 - Problem refer to the following ytem ) Auming the prefilter Gpf i 1, the velocity error contant K v i bet approximated a a) 2/3 b) 2 c) 1 d) 0 40) Auming the prefilter Gpf a) 1/2 b) 3/2 c) 2 d) 2/5 41) Auming the prefilter Gpf a) b) 0 c) 3/5 d) 2 i 1, the teady tate error for a unit ramp input i bet approximated a i 1, the teady tate error for a unit tep input i bet approximated a Anwer: 1-a, 2-a, 3-b, 4-c, 5-a, 6-b, 7-a, 8-a, 9-a, 10-b, 11-a, 12-d, 13-b, 14-a, 15-a, 16-a, 17-b, 18-d, 19-d, 20-d, 21-b, 22-a, 23-a, 24-a, 25-a, 26-c, 27-g, 28-b, 29-a, 30-a, 31-c, 32-c, 33-a, 34-b, 35-b, 36-b, 37-c, 38-c, 39-b, 40-a, 41-b 14