2019-01-23T12:37:41Zhttp://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1666992018-11-08T08:54:09Zcom_10234_7034com_10234_9col_10234_8619
00925njm 22002777a 4500
dc
Ariño Latorre, Carlos Vicente
author
Sala, Antonio
author
Pérez Soler, Emilio
author
Bedate Boluda, Fernando
author
Querol, Andrés
author
2016-10-12
Given
a
Takagi–Sugeno
(TS)
system,
this
paper
proposes
a
novel
methodology
to
obtain
the
state
feedback
controller
guar-
anteeing,
asymptotically
as
a
Polya-related
complexity
parameter
grows,
the
largest
(membership-shape
independent)
possible
domain-of-attraction
with
contraction-rate
performance
λ
,
based
on
polyhedral
λ
-contractive
sets
from
constrained
linear
systems
literature.
The
resulting
controller
is
valid
for
any
realisation
of
the
memberships,
as
usual
in
most
TS
literature.
For
a
finite
com-
plexity
parameter,
an
inner
estimate
of
such
largest
set
is
obtained;
the
frontier
of
such
approximation
can
be
understood
as
the
level
set
of
a
polyhedral
control-Lyapunov
function.
Convergence
of
a
proposed
iterative
algorithm
is
asymptotically
necessary
and
sufficient
for
TS
system
stabilisation:
for
a
high-enough
value
of
the
complexity
parameter,
any
conceivable
shape-independent
Lyapunov
controller
design
procedure
will
yield
a
proven
domain
of
attraction
smaller
or
equal
to
the
algorithm’s
output.
ARIÑO LATORRE, Carlos Vicente; SALA, Antonio; PÉREZ SOLER, Emilio; BEDATE BOLUDA, Fernando; QUEROL, Andrés. Asymptotically exact stabilisation for constrained discrete Takagi–Sugeno systems via set-invariance. Fuzzy sets ans Systems (2016), online, pp. 1-12
http://hdl.handle.net/10234/166699
http://dx.doi.org/10.1016/j.fss.2016.10.004
Fuzzy control
Invariant sets
Takagi–Sugeno models
Contractive sets
Polyhedral Lyapunov functions
Asymptotically exact stabilisation for constrained discrete Takagi–Sugeno systems via set-invariance