E) None Q26. If k=1, then the closed loop poles are at A) (1,1,1) B)(-1,1,-1) C) (-1,–0.5±, D) (-1,–0.5± j) E)None 2 Q27. One of the possible open loop transfer function for k=1 is 1+2z z(z+2) 1 A) 2'(z+3) B) C) z(z² +3z+2) (z' +2z? +1) D) All the above None Given the closed loop sampled data system shown below, (T=1S), with

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digital control , please solve question 26 and 27

Q24. The unity feedback digital control system that has G(z)=
10
as its open loop transfer
z(z'+3z? +2z+1)
function, is
A) Asymptotically stable
B) Unstable
C) Often stable
D) Cannot tell
E) None
Given the characteristic equation of a closed loop system
:'+3: +2kk +k= 0
Q25. The system is stable for
A) K>-1
B) K>1
C) -1<k<1.5
D) A & B
E) None
Q26. If k=1, then the closed loop poles are at
A) (1,1,1)
B)(-1,1,-1)
C) (-1,-0.5±j
D) (-1,–0.5± j
E)None
Q27. One of the possible open loop transfer function for k=1 is
1+2z
z(z+2)
A)
='(z+3)
B)
1
C)
z(z? +3z +2)
(z' +2z? +1)
D) All the above
Given the closed loop sampled data system shown below, (T=1S), with
k
G(s) =
s+1
and H(s)=-
s+2
s(s +1)
Then answer the following four questions (Q28-Q31)
Q28. One of the following is the closed loop transfer function
A)
G(z)
B)
G(z)
Gʻ(s)
1+G(z)H(z)
1+ GH(z),-
1+GH(z)
D)
1+GH(s),-L»z
E) None
Transcribed Image Text:Q24. The unity feedback digital control system that has G(z)= 10 as its open loop transfer z(z'+3z? +2z+1) function, is A) Asymptotically stable B) Unstable C) Often stable D) Cannot tell E) None Given the characteristic equation of a closed loop system :'+3: +2kk +k= 0 Q25. The system is stable for A) K>-1 B) K>1 C) -1<k<1.5 D) A & B E) None Q26. If k=1, then the closed loop poles are at A) (1,1,1) B)(-1,1,-1) C) (-1,-0.5±j D) (-1,–0.5± j E)None Q27. One of the possible open loop transfer function for k=1 is 1+2z z(z+2) A) ='(z+3) B) 1 C) z(z? +3z +2) (z' +2z? +1) D) All the above Given the closed loop sampled data system shown below, (T=1S), with k G(s) = s+1 and H(s)=- s+2 s(s +1) Then answer the following four questions (Q28-Q31) Q28. One of the following is the closed loop transfer function A) G(z) B) G(z) Gʻ(s) 1+G(z)H(z) 1+ GH(z),- 1+GH(z) D) 1+GH(s),-L»z E) None
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