Control Systemfgdgdfvsdgdfhhbgvsdf - 2.pdf

Mechanical Engineering Dept.
Vibration and Control ( ME F319)
Control system
(Lecture 2)

26 March 2024 Arun Kumar Jalan 2

Block diagram reductions
techniques
26 March 2024 Arun Kumar Jalan
G1
x2
G2
x1 x3
X2 / X1 = G1,
X3 / X2 = G2
Therefore
X3 / X1 = G1.G2
Rule 1: for blocks in series
G1G2
x3
x1
3

techniques
E= R- CH
C= GE
BY Eliminating E
C= G(R-CH)
Rule 2: for blocks in Parallel & feed back loop
T
C
R
G
H
+
-
C
R E
4

techniques
E= R + CH
C= GE
BY Eliminating E
C= G(R+CH)
Rule 2: for blocks in Parallel & Positive feedback loop
T
C
R
G
H
+
+
C
R E
5

techniques
E= RG
C= E - RH
BY Eliminating E
C= R(G-H)
Rule 3: for blocks in Parallel & negative forward loop
G-H
C
R
G
H
+
-
E
R
C
6

techniques
E= RG
C= E + RH
BY Eliminating E
C= R(G+H)
Rule 3: for blocks in Parallel & Positive forward loop
G+H
C
R
G
H
+
+
E
R
C
7

R G2
C
H
-
G1
+
+
+
R G2
C
H
-
G1/G2
+
+
Block diagram simplification

Example : 1
9

Find Transfer function: by block diagram reduction
Example 2
T ?
C
R

Find Transfer function: by block diagram reduction
Example 3
T ?
C
R

Find Transfer function for multi input & single output
Example 4 (MISO)
T 1 ?
C
R
T 2?
C
D

Find Transfer function for multi input & multi output
Example 5 (MIMO)

Transfer functions:

Find Transfer function
Example 6

Control Systemfgdgdfvsdgdfhhbgvsdf - 2.pdf

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