Q2a the block diagram of a control system. Using the block diagram reduction method, determine the closed loop transfer function of the system shown in Figure Q2a. Show all intermediate steps in the reduction process including block diagrams and working. (а) The transfer functions of the blocks in Q2a are as follows: G1(s) = G2(s) = s G3(s) = s² H1(s) = s H2(s) = 2s C(s) GI(s) G2(s) G3(s) HI(s) H2(s) Figure Q2a Continued overleaf Page 3 of 12 (b) Determine the range of K for which the system shown in figure Q2b is stable.
Q2a the block diagram of a control system. Using the block diagram reduction method, determine the closed loop transfer function of the system shown in Figure Q2a. Show all intermediate steps in the reduction process including block diagrams and working. (а) The transfer functions of the blocks in Q2a are as follows: G1(s) = G2(s) = s G3(s) = s² H1(s) = s H2(s) = 2s C(s) GI(s) G2(s) G3(s) HI(s) H2(s) Figure Q2a Continued overleaf Page 3 of 12 (b) Determine the range of K for which the system shown in figure Q2b is stable.
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:Q2
Figure Q2a shows the block diagram of a control system.
Using the block diagram reduction method, determine the closed loop transfer
function of the system shown in Figure Q2a. Show all intermediate steps in the
reduction process including block diagrams and working.
(а)
The transfer functions of the blocks in Q2a are as follows:
G1(s) = !
G2(s) = s
G3(s) = s²
H1(s) = s
H2(s) = 2s
R(s),
C(s)
GI(s)
G2(s)
G3(s)
H1(s)
H2(s)
Figure Q2a
Continued overleaf
Page 3 of 12
(b)
Determine the range of K for which the system shown in figure Q2b is stable.
R(s)
E(s)
C(s)
1
s2 + 10s + 10
Figure Q2b
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