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Here, x / s are the component state variables.
15
The component equation
(2.20) is modeled in the time domain.
• ,Similarly, as in the linear case, the components are subdivided
into two groups.
The variables in (2.20) are then partitioned as
x;"* = Jf /(x 1 ,aIN)
;
x^O) = 0
(2.21)
;
x^(0) = 0
(2.22)
b^=g\x\a^)
and
k' - f'{/J)
K2
b
2, 2 2v
= g (x ,a )
The connection equations (2.2) and (2.3) are partitioned as the equations
(2.5) through (2.7).
For each component subdivision, a pseudo circuit is generated in
the form.
•1
.1,1
K
X = f (x ,a )
»
x'(0) = 0
(2.23)
b = g (x ,a )
a^ = K^^ b^ + K^2 ^^
(2-24)
yP = K2^ b"" + K22 uP
(2.25)
where the connection matrix K of the pseudo circuit is derived in the
equations (2.12) through (2.15).
Since in our test algorithm both u and
y are known, the above equations can be solved via any standard circuit
analysis code, SPICE,^^ NAP2,2^ etc., to compute yP = Col(a^,b^).
the values a
2
and b
2
are computed, with the computation of
Once