Specifications

5 Arrays of LTI Models
5-28
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 useappend toperformthe diagonalappending ofeachmodel
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]
adds a single SISO transfer function model to each entry in each model of the
LTIarrayofMIMOmodels
[h,h].
Finally,
G = rand(1,1,3,1);
sysa = G + [h,h]
S
τ
s
()
1
s
τ
+
-----------
0
0
1
s 3+
------------
=