Modal realization in Matlab
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Hi
Given the following transfer matrix :
T =
From input 1 to output:
s - 1
-------------
s^2 + 3 s + 2
From input 2 to output:
1
--------------
s^2 + 7 s + 12
Continuous-time transfer function.
I need to determine the modal representation (A is diag.) The following instruction gives me the right answer:
csys = canon(T,'modal')
csys =
a =
x1 x2 x3 x4
x1 -2 0 0 0
x2 0 -1 0 0
x3 0 0 -4 0
x4 0 0 0 -3
b =
u1 u2
x1 -5.657 0
x2 -4.472 0
x3 0 -5.657
x4 0 -5
c =
x1 x2 x3 x4
y1 -0.5303 0.4472 0.1768 -0.2
d =
u1 u2
y1 0 0
Continuous-time state-space model.
How can I get to the same representation analytically ?
Thanks
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