Y(s)

Y(s)

X(s)

G

2

(s)

G

1

(s)

G

1

(s)G

2

(s)

G

2

(s)

G

1

(s)

G

2

(s)



G

1

(s) G

2

(s)









1 G

1

(s)G

2

(s)

G

1

(s)



X(s)

Y(s)

X(s)

Y(s)

X(s)

Y(s)

X(s)

Y(s)

G

1

(s)

X(s)

Y

1

(s)

Table 3.1

Equivalent systems

Transformation
type

before transformation

after transformation

1.

Series
connection

2.

Parallel
connection

3.

Connection with
feedback

4.

Elementary
negative
feedback

X(s)

Y(s)

X(s)

Y(s)

G(s)



1 + G(s)

G(s)

Block diagrams transformation principles - table

Table 3.1

Equivalent systems

Transformation
type

before transformation

after transformation

X(s)

Y(s)

G(s)

Y(s)

X(s)

X(s)

G(s)

Y(s)

G(s)

Y(s)

G(s)

Y(s)

G(s)

Y(s)

1

G(s)

Y(s)

X(s)

X

1

(s)

X

2

(s)

Y(s)

G(s)

G(s)

X

1

(s)

Y(s)

X

2

(s)

Y(s)

G(s)

G(s)

X

1

(s)

X

2

(s)

Y(s)

G(s)

X

1

(s)

X

2

(s)

6.

Replacing of
connection node after
the element

7.

Replacing of
summation node in
front of element

8.

Replacing of
summation node after
the element

5.

Replacing of
connection node in
front of element

1

G(s)

X(s)

Block diagrams transformation principles - table