Optimal Control Applications and Methods,
Journal Year:
2024,
Volume and Issue:
45(5), P. 2346 - 2363
Published: June 17, 2024
Abstract
This
article
considers
the
iterative
identification
problems
for
a
class
of
feedback
nonlinear
systems
with
moving
average
noise.
The
model
contains
both
dynamic
linear
module
and
static
module,
which
brings
challenges
to
identification.
By
utilizing
key
term
separation
technique,
unknown
parameters
from
modules
are
included
in
parameter
vector.
Furthermore,
an
auxiliary
maximum
likelihood
gradient‐based
algorithm
is
derived
estimate
parameters.
In
addition,
stochastic
gradient
as
comparison.
numerical
simulation
results
indicate
that
can
effectively
get
more
accurate
estimates
than
algorithm.
International Journal of Adaptive Control and Signal Processing,
Journal Year:
2024,
Volume and Issue:
38(6), P. 2074 - 2092
Published: March 27, 2024
Summary
Nonlinear
systems
widely
exist
in
real‐word
applications
and
the
research
for
these
has
enjoyed
a
long
fruitful
history,
including
system
identification
community.
However,
modeling
nonlinear
is
often
quite
challenging
still
remains
many
unresolved
questions.
This
article
considers
online
issue
of
Hammerstein
systems,
whose
static
function
modeled
by
B‐spline
network.
First,
model
studied
constructed
using
bilinear
parameter
decomposition
model.
Second,
recursive
algorithms
are
proposed
to
find
estimates
moving
data
window
particle
swarm
optimization
procedure,
show
that
converge
their
true
values
with
low
computational
burden.
Numerical
examples
also
given
test
effectiveness
algorithms.
International Journal of Robust and Nonlinear Control,
Journal Year:
2024,
Volume and Issue:
34(11), P. 7265 - 7284
Published: March 28, 2024
Summary
In
this
paper,
we
use
the
maximum
likelihood
principle
and
negative
gradient
search
to
study
identification
issues
of
multivariate
equation‐error
systems
whose
outputs
are
contaminated
by
an
moving
average
noise
process.
The
model
decomposition
technique
is
used
decompose
system
into
several
regressive
subsystems
based
on
number
outputs.
order
improve
parameter
estimation
accuracy,
a
decomposition‐based
iterative
algorithm
proposed
means
method.
numerical
simulation
example
indicates
that
method
has
better
results
than
compared
algorithm.
Optimal Control Applications and Methods,
Journal Year:
2024,
Volume and Issue:
45(5), P. 2346 - 2363
Published: June 17, 2024
Abstract
This
article
considers
the
iterative
identification
problems
for
a
class
of
feedback
nonlinear
systems
with
moving
average
noise.
The
model
contains
both
dynamic
linear
module
and
static
module,
which
brings
challenges
to
identification.
By
utilizing
key
term
separation
technique,
unknown
parameters
from
modules
are
included
in
parameter
vector.
Furthermore,
an
auxiliary
maximum
likelihood
gradient‐based
algorithm
is
derived
estimate
parameters.
In
addition,
stochastic
gradient
as
comparison.
numerical
simulation
results
indicate
that
can
effectively
get
more
accurate
estimates
than
algorithm.
