Page 155 - MATLAB an introduction with applications

140 ——— MATLAB: An Introduction with Applications

G 8 (s)
+
+ G 1 (s) + G 3 (s) G 6 (s)
R(s) +
+
G 7 (s)
C(s)
G 2 (s) G 4 (s) +
+
G 5 (s)

Fig. E3.1
The transfer functions are given as:
G1 (s) = 1/(s + 7)
2
G2 (s) = 1/(s + 6s + 5)
G3 (s) = 1/(s + 8)
G4 (s) = 1/s
G5 (s) = 7/(s + 3)
2
G6 (s) = 1/(s + 7s + 5)
G7 (s) = 5/(s + 5)
G8 (s) = 1/(s + 9)
Solution:
% MATLAB Program
G1 = tf ([0 0 1], [0 1 7]);
G2 = tf ([0 0 1], [1 6 5]);
G3 = tf ([0 0 1], [0 1 8]);
G4 = tf ([0 0 1], [0 1 0]);
G5 = tf ([0 0 7], [0 1 3]);
G6 = tf ([0 0 1], [1 7 5]);
G7 = tf ([0 0 5], [0 1 5]);
G8 = tf ([0 0 1], [0 1 9]);
G9 = tf ([0 0 1], [0 0 1]);
T1 = append (G1, G2, G3, G4, G5, G6, G7, G8, G9);
Q = [ 1 –2 –5 9 ]
2 1 8 0
3 1 8 0
4 1 8 0
5 3 4 –6
6 7 0 0
7 3 4 –6
8 7 0 0];

F:\Final Book\Sanjay\IIIrd Printout\Dt. 10-03-09