Specifications

Creating LTI Models
2-11
You can specify this MIMO transfer matrix by typing
N = {[1 –1];[1 2]}; % cell array for N(s)
D = {[1 1];[1 4 5]}; % cell array for D(s)
H = tf(N,D)
MATLAB responds with
Transfer function from input to output...
s – 1
#1: -----
s + 1
s + 2
#2: -------------
s^2 + 4 s + 5
Notice that both N and D have the same dimensions as H. For a general MIMO
transfer matrix , the cell array entries
N{i,j} and D{i,j} should be
row-vector representations of the numerator and denominator of , the
entry of the transfer matrix .
Pure Gains
Youcanuse tf withonlyone argumenttospecify simple gainsor gainmatrices
as TF objects. For example,
G = tf([1 0;2 1])
produces the gain matrix
while
E = tf
creates an empty transfer function.
Ns
()
s 1–
s 2+
= Ds
()
s 1+
s
2
4s 5++
=
Hs
(
)
Hs
(
)
H
ij
s
(
)
ijth Hs
()
G
10
21
=