Properties of Non-Linear Systems

y
General Model Structure
Systems described in terms of differential equations and transfer functions
Provides insight into the system physics and a compact model structure
General-linear polynomial model or the general-linear model
u( k)
and y(
k)
−k
−1
−1
( k)
= q G(
q ) u(
k)
+ H ( q ) e(
k)
are the input and output of the system
e
( k)
is zero-mean white noise, or the disturbance of the system
( )
( )
−1
G q is the transfer function of the deterministic part of the system
−1
H
q is the transfer function of the stochastic part of the system
e(
k)
General-linear model structure:
C
D
B(
q)
1
u ( k)
F(
q)
+
y(
k)
A(
q)
CAS-DSP, Sigtuna 2007-Control Theory-S.Simrock
( q)
( q)
9