Programs To Find Transfer Function For The Block Diagram Using Block Diagram Reduction - Control Systems Lab - MSRIT - RIT

Hi!

BLOCK DIAGRAM REDUCTION:
1.

display('controller')
n1=[1 2];d1=[1 3];
g1=tf(n1,d1)
display('plant')
n2=[1 1];d2=[1 6 8];
g2=tf(n2,d2)
display('resultant transfer function')
gs=series(g1,g2)

COMMAND WINDOW:
controller
g1 =
s + 2
-----
s + 3
Continuous-time transfer function.
plant
g2 =
s + 1
-------------
s^2 + 6 s + 8
Continuous-time transfer function.
resultant transfer function
gs =
s^2 + 3 s + 2
-----------------------
s^3 + 9 s^2 + 26 s + 24
Continuous-time transfer function.

2 -

Editor -

n1=1;d1=[1 1];

display('tf1 is:')

printsys(n1,d1);

n2=[1 2];d2=[0 1];

display('tf2 is:')

printsys(n2,d2);

n3=[1 0];d3=[1 0 2];

display('tf3 is:')

printsys(n3,d3);

n4=[1 0];d4=[0 1];

display('tf4 is:')

printsys(n4,d4);

[n5,d5]=parallel(n1,d1,n2,d2);

printsys(n5,d5);

[n6,d6]=feedback(n3,d3,n4,d4);

printsys(n6,d6);

[n7,d7]=series(n5,d5,n6,d6);

display('overall transfer function is:')

printsys(n7,d7);

pzmap(n7,d7);

sgrid;

Command Window -

tf1 is:

num/den =

1
-----
s + 1
tf2 is:

num/den =

s + 2
-----
1
tf3 is:

num/den =

s
-------
s^2 + 2
tf4 is:

num/den =

s
-
1

num/den =

s^2 + 3 s + 3
-------------
s + 1

num/den =

s
---------
2 s^2 + 2
overall transfer function is:

num/den =

s^3 + 3 s^2 + 3 s
-----------------------

2 s^3 + 2 s^2 + 2 s + 2

3 -

Editor

n1=[1 0];d1=[1 0 1];

g1=tf(n1,d1)

n2=[1 2];d2=[1];

g2=tf(n2,d2)

n3=[1];d3=[1 1];

g3=tf(n3,d3)

n4=[1 0];d4=[1 0 2];

g4=tf(n4,d4)

n5=[1 0];d5=1;

h1=tf(n5,d5)

gp1=parallel(g2,g3)

gs1=series(g1,g4)

gt1=series(gp1,gs1)

display('the overall transfer function is:')

T=feedback(gt1,h1)

COMMAND WINDOW:

g1 =

-------

s^2 + 1