dfilt.statespace
Discrete-time, state-space filter
Syntax
Hd = dfilt.statespace(A,B,C,D)
Hd = dfilt.statespace
Description
Hd = dfilt.statespace(A,B,C,D)
returns a discrete-time state-space filter, Hd
, with rectangular
arrays A
, B
, C
, and
D
.
A
, B
, C
, and
D
are from the matrix or state-space form of a filter's
difference equations
where x(n) is the vector states at time
n, u(n) is the input at
time n, y
is the output at time
n, A
is the state-transition matrix,
B
is the input-to-state transmission matrix, C
is the state-to-output transmission matrix, and D
is the
input-to-output transmission matrix. For single-channel systems, A
is
an m
-by-m
matrix where m
is the
order of the filter, B
is a column vector, C
is a
row vector, and D
is a scalar.
Hd = dfilt.statespace
returns a
default, discrete-time state-space filter, Hd
, with
A
=[ ], B
=[ ], C
=[ ], and
D
=1. This filter passes the input through to the output
unchanged.
The resulting filter states column vector has the same number of rows as the number of
rows of A
or B
.
Examples
Create a second-order, state-space filter structure from a second-order, lowpass Butterworth design.
[A,B,C,D] = butter(2,0.5); Hd = dfilt.statespace(A,B,C,D)
Version History
Introduced before R2006a