Capítols de llibre
http://hdl.handle.net/2117/3232
2016-10-28T21:41:34ZConvolutional codes under control theory point of view. Analysis of output-observability
http://hdl.handle.net/2117/18256
Convolutional codes under control theory point of view. Analysis of output-observability
García Planas, María Isabel; Souidi, El Mamoun; Um, Laurence Emilie
In this work we make a detailed look at the algebraic structure of convolutional codes using techniques
of linear systems theory. The connection between these concepts help to better understand the properties of convo-
lutional codes, in particular the concepts of controllability and observability of linear systems can be translated into
the context of convolutional codes relating these properties with the noncatastrophicity of the codes. We examine
the output-observability property and we give conditions for this property.
2013-03-13T12:48:29ZGarcía Planas, María IsabelSouidi, El MamounUm, Laurence EmilieIn this work we make a detailed look at the algebraic structure of convolutional codes using techniques
of linear systems theory. The connection between these concepts help to better understand the properties of convo-
lutional codes, in particular the concepts of controllability and observability of linear systems can be translated into
the context of convolutional codes relating these properties with the noncatastrophicity of the codes. We examine
the output-observability property and we give conditions for this property.Factorization of the transfer matrix of a singular linear systems
http://hdl.handle.net/2117/18162
Factorization of the transfer matrix of a singular linear systems
García Planas, María Isabel; López Cabeceira, M. Montserrat
Given a linear dynamic time invariant represented by
x
+
(
t
) =
Ax
(
t
)
Bu
(
t
)
,
y
(
t
) =
Cx
(
t
)
, we analyze con-
ditions for obtention of a coprime factorization of trans-
fer matrices of singular linear systems defined over
commutative rings
R
with element unit. The problem
presented is related to the existence of solutions of a
matrix equation
XE
°
NXA
=
Z
.
2013-03-11T08:34:20ZGarcía Planas, María IsabelLópez Cabeceira, M. MontserratGiven a linear dynamic time invariant represented by
x
+
(
t
) =
Ax
(
t
)
Bu
(
t
)
,
y
(
t
) =
Cx
(
t
)
, we analyze con-
ditions for obtention of a coprime factorization of trans-
fer matrices of singular linear systems defined over
commutative rings
R
with element unit. The problem
presented is related to the existence of solutions of a
matrix equation
XE
°
NXA
=
Z
.Learning automation to teach mathematics
http://hdl.handle.net/2117/16880
Learning automation to teach mathematics
Ferrer Llop, Josep; Peña Carrera, Marta; Ortiz Caraballo, Carmen
2012-11-12T09:29:49ZFerrer Llop, JosepPeña Carrera, MartaOrtiz Caraballo, CarmenInput Observability Analysis of Fixed Speed Wind Turbine
http://hdl.handle.net/2117/15829
Input Observability Analysis of Fixed Speed Wind Turbine
García Planas, María Isabel; Domínguez García, José Luís; Mediano Valiente, Begoña
This paper deals with the concept of input observability in a fixed speed wind turbine. A linear system
has been calculated from the nonlinear equations of the squirrel cage induction generator, supposing it connected
directly to the grid and assuming a steady state operating point. The observability of the input from the output
of the system could be an interesting way to know if its possible to develop some new controls without introduce
special sensors in the system. Furthermore, it is interesting to analyse which is the parameter variation margin of
the wind turbine from input-observable state to non-input observable, in order to obtain some restrictions to design
future controllers, or limit the operating points.
2012-05-11T09:56:05ZGarcía Planas, María IsabelDomínguez García, José LuísMediano Valiente, BegoñaThis paper deals with the concept of input observability in a fixed speed wind turbine. A linear system
has been calculated from the nonlinear equations of the squirrel cage induction generator, supposing it connected
directly to the grid and assuming a steady state operating point. The observability of the input from the output
of the system could be an interesting way to know if its possible to develop some new controls without introduce
special sensors in the system. Furthermore, it is interesting to analyse which is the parameter variation margin of
the wind turbine from input-observable state to non-input observable, in order to obtain some restrictions to design
future controllers, or limit the operating points.Output observability of time-invariant singular linear systems
http://hdl.handle.net/2117/14096
Output observability of time-invariant singular linear systems
García Planas, María Isabel; Tarragona Romero, Sonia
In this paper finite-dimensional singular linear
discrete-time-invariant systems in the form Ex(k +
1) = Ax(k) + Bu(k), y(k) = Cx(k) where E;A 2
M = Mn(C), B 2 Mn£m(C), C 2 Mp£n(C), describing
convolutional codes are considered and the notion
of output observability is analyzed.
2011-11-28T11:24:26ZGarcía Planas, María IsabelTarragona Romero, SoniaIn this paper finite-dimensional singular linear
discrete-time-invariant systems in the form Ex(k +
1) = Ax(k) + Bu(k), y(k) = Cx(k) where E;A 2
M = Mn(C), B 2 Mn£m(C), C 2 Mp£n(C), describing
convolutional codes are considered and the notion
of output observability is analyzed.Solving disturbance decoupling for singular systems by p&d-feedback and p&d-output injection
http://hdl.handle.net/2117/14095
Solving disturbance decoupling for singular systems by p&d-feedback and p&d-output injection
García Planas, María Isabel
Singular systems are an important class of systems
from both point of view theoretical and practical. In
this paper we analyze the problem of constructing feedbacks
and/or output injections that suppress this disturbance
in the sense that it does not affect the inputoutput
behavior of the system and makes the resulting
closed-loop system regular and of index at most one.
All results are based on the canonical reduced forms
that they can be computed using a complete system of
invariants and can be implemented in a numerically stable
way.
2011-11-28T11:19:02ZGarcía Planas, María IsabelSingular systems are an important class of systems
from both point of view theoretical and practical. In
this paper we analyze the problem of constructing feedbacks
and/or output injections that suppress this disturbance
in the sense that it does not affect the inputoutput
behavior of the system and makes the resulting
closed-loop system regular and of index at most one.
All results are based on the canonical reduced forms
that they can be computed using a complete system of
invariants and can be implemented in a numerically stable
way.Perturbation analysis of eigenvalues of polynomial matrices smoothly depending on parameters
http://hdl.handle.net/2117/13231
Perturbation analysis of eigenvalues of polynomial matrices smoothly depending on parameters
García Planas, María Isabel; Tarragona Romero, Sonia
Let P(¸) = Pk i=0 ¸iAi(p) be a family of monic polyomial matrices smoothly dependent on a vector of real parameters p = (p1; : : : ; pn). In this work we study behavior of a multiple eigenvalue of the monic polynomial family P(¸).
Polynomial matrix, Eigenvalues, Perturbation.
2011-09-19T09:46:49ZGarcía Planas, María IsabelTarragona Romero, SoniaLet P(¸) = Pk i=0 ¸iAi(p) be a family of monic polyomial matrices smoothly dependent on a vector of real parameters p = (p1; : : : ; pn). In this work we study behavior of a multiple eigenvalue of the monic polynomial family P(¸).Controllability of time-invariant singular linear systems
http://hdl.handle.net/2117/11093
Controllability of time-invariant singular linear systems
García Planas, María Isabel; Tarragona Romero, Sonia; Díaz, Adolfo
We consider triples of matrices (E; A;B), representing singular linear time
invariant systems in the form Ex_ (t) = Ax(t)+Bu(t), with E;A 2 Mn(C) and
B 2 Mn£m(C), under proportional and derivative feedback.
Structural invariants under equivalence relation characterizing singular lin-
ear systems are used to obtain conditions for controllability of the systems.
2011-01-18T16:04:43ZGarcía Planas, María IsabelTarragona Romero, SoniaDíaz, AdolfoWe consider triples of matrices (E; A;B), representing singular linear time
invariant systems in the form Ex_ (t) = Ax(t)+Bu(t), with E;A 2 Mn(C) and
B 2 Mn£m(C), under proportional and derivative feedback.
Structural invariants under equivalence relation characterizing singular lin-
ear systems are used to obtain conditions for controllability of the systems.An alternative complete system of invariants for matrix pencils under strict equivalence
http://hdl.handle.net/2117/11079
An alternative complete system of invariants for matrix pencils under strict equivalence
García Planas, María Isabel; Díaz, Adolfo
We consider triples of matrices (E; A;B), representing singular linear time invariant
systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un-
der proportional and derivative feedback. Using geometrical techniques we obtain miniversal
deformations that permit us to study sensivity and structural stability of singular systems.
2011-01-18T11:56:10ZGarcía Planas, María IsabelDíaz, AdolfoWe consider triples of matrices (E; A;B), representing singular linear time invariant
systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un-
der proportional and derivative feedback. Using geometrical techniques we obtain miniversal
deformations that permit us to study sensivity and structural stability of singular systems.Sensivity and stability of singular systems under proportional and derivative
http://hdl.handle.net/2117/11077
Sensivity and stability of singular systems under proportional and derivative
García Planas, María Isabel
We consider triples of matrices (E; A;B), representing singular linear time invariant
systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un-
der proportional and derivative feedback. Using geometrical techniques we obtain miniversal
deformations that permit us to study sensivity and structural stability of singular systems.
2011-01-18T11:50:06ZGarcía Planas, María IsabelWe consider triples of matrices (E; A;B), representing singular linear time invariant
systems in the form Ex_ (t) = Ax(t) + Bu(t), with E;A 2 Mp£n(C) and B 2 Mn£m(C), un-
der proportional and derivative feedback. Using geometrical techniques we obtain miniversal
deformations that permit us to study sensivity and structural stability of singular systems.