User`s guide

Operations on LTI Arrays
4-29
You can do this efficiently by first setting up an LTI array h containing the
SISO models and then using concatenation to form the LTI array
H of
MIMO LTI models , . To do this, type
tau = [1.1 1.2 1.3];
for i=1:3 % Form LTI array h of SISO models.
h(:,:,i)=tf(1,[1 tau]);
end
H = [h 0; –1 tf(1,[1 0])]; %Concatenation: array h & single models
size(H)
3x1 array of continuous-time transfer functions
Each transfer function has 2 output(s) and 2 input(s).
Similarly, you can use append to perform the diagonal appending of each model
in the SISO LTI array
h with a fixed single (SISO or MIMO) LTI model.
S = append(h,tf(1,[1 3])); % Append a single model to h.
specifies an LTI array S in which each model has the form
You can also combine an LTI array of MIMO models and a single MIMO LTI
model using arithmetic operations. For example, if
h is the LTI array of three
SISO models defined above,
[h,h] + [tf(1,[1 0]);tf(1,[1 5])]
adds the single one-output, two-input LTI model [1/s 1/(s + 5)] to every
model in the 3-by-1 LTI array of one-output, two-input models
[h,h].The
result is a new 3-by-2 array of models.
Examples: Arithmetic Operations on LTI Arrays and SISO Models
Using the LTI array of one-output, two-input state-space models [h,h],
defined in the previous example,
tf(1,[1 3]) + [h,h]
1 s
τ+(
)
⁄
H
τ
s
(
)
τ
1.1 1.2 1.3
,,{}∈
S
τ
s()
1
s τ+
-----------
0
0
1
s 3+
------------
=