abcd
Description
[
constructs real diagonal form A,B,C,D
,sharedpoles
] = abcd(fit
)A
, B
,
C
, and D
state-space matrices from input
fit
, a rational
object. This function also
indicates whether or not each element of fit
has the same poles using
sharedpoles
output argument.
Examples
Construct State-Space Matrices from rational
Object
Create S-Parameters from the file named passive.s2p
.
S = sparameters('passive.s2p');
Perform rational fitting of the S-parameters.
fit = rational(S);
Construct state-space matrices from rational object, fit
.
[A,B,C,D,sharedpoles] = abcd(fit)
A = 16x16 sparse double matrix (20 nonzeros)
1.0e+11 *
(1,1) -0.0008
(2,1) -0.0011
(1,2) 0.0011
(2,2) -0.0008
(3,3) -4.0560
(4,4) -0.8359
(5,5) -0.5389
(6,6) -0.1148
(7,7) -0.0173
(8,8) -0.0008
(9,9) -0.0008
(10,9) -0.0011
(9,10) 0.0011
(10,10) -0.0008
(11,11) -4.0560
(12,12) -0.8359
(13,13) -0.5389
(14,14) -0.1148
(15,15) -0.0173
(16,16) -0.0008
B = 16x2 sparse double matrix (14 nonzeros)
(1,1) 1.4142
(3,1) 1.0000
(4,1) 1.0000
(5,1) 1.0000
(6,1) 1.0000
(7,1) 1.0000
(8,1) 1.0000
(9,2) 1.4142
(11,2) 1.0000
(12,2) 1.0000
(13,2) 1.0000
(14,2) 1.0000
(15,2) 1.0000
(16,2) 1.0000
C = 2×16
1011 ×
0.0001 0.0001 -2.8008 0.6205 0.0907 0.0831 -0.0015 -0.0006 -0.0001 -0.0001 -3.1065 2.4562 -0.7797 -0.0750 0.0010 0.0007
-0.0001 -0.0001 -3.1236 2.4641 -0.7827 -0.0750 0.0010 0.0007 0.0001 0.0001 -2.6254 0.4517 0.1564 0.0878 -0.0015 -0.0006
D = 2×2
0 0
0 0
sharedpoles = logical
1
Input Arguments
fit
— Rational fit
rational
object | rfmodel.rational
object
Rational fit, specified as a rational
or
rfmodel.rational
object.
Output Arguments
A,B,C,D
— State-space matrices
array of scalar numbers
State-space matrices, returned as an array of scalar numbers. The size of the state-space matrix elements are
A
— M-by-M array.B
— M-by-NumPorts
array.C
—NumPorts
-by-M array.D
—NumPorts
-by-NumPorts
array.where, M is
NumPoles
×NumPorts
andNumPoles
andNumPorts
are number of poles and ports, respectively, derived fromfit
.
sharedpoles
— Shared poles
1
| 0
Shared poles indicating whether or not each element of fit
has
the same poles, returned as 1
or 0
of data type
logical
.
Data Types: logical
Version History
Introduced in R2020a
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