User`s guide

2 LTI Models
2-16
to which MATLAB responds
a =
x1 x2
x1 0 1.00000
x2 –5.00000 –2.00000
b =
u1
x1 0
x2 3.00000
c =
x1 x2
y1 0 1.00000
d =
u1
y1 0
In addition to the A, B, C,andDmatrices, the display of state-space models
includes stat e names, input names, and o utput names. Default names (here,
x1, x2, u1,andy1) are displayed whenever you l eave these unspecified. See
“LTI Properties” on page 2-26 for more information on how to specify state,
input, or output names.
Descriptor State-Space Models
Descrip tor state- space (DSS) models are a generalization of the standard
state-space models discussed above. They are of the form
The Control System Toolbox supports only descriptor systems with a
nonsingular matrix. W h ile such models hav e an equivale nt explicit form
E
xd
td
------
Ax Bu+=
yCxDu+=
E
xd
td
------ E
1–
A()xE
1–
B()u+=
yCxDu+=