Specifications

inv
16-103
16inv
Purpose Invert LTI systems
Syntax isys = inv(sys)
Description inv inverts the input/output relation
to produce the LTI system with the transfer matrix .
This operation is defined only for square systems (same number of inputs and
outputs) with an invertible feedthrough matrix .
inv handles both
continuous- and discrete-time systems.
Example Consider
At the MATLAB prompt, type
H = [1 tf(1,[1 1]);0 1]
Hi = inv(H)
to invert it. MATLAB returns
Transfer function from input 1 to output...
#1: 1
#2: 0
Transfer function from input 2 to output...
-1
#1: -----
s + 1
#2: 1
You can verify that
yGs
()
u=
Hs
()
Gs
()
1–
=
uHs
()
y=
D
Hs
()
1
1
s 1+
------------
01
=