2007
Hilaire, T.; Chevrel, P.; Clauzel, J-P.
Low Parametric Sensitivity Realization Design for FWL Implementation of MIMO Controllers : Theory and Application to the Active Control of Vehicle Longitudinal Oscillations Journal Article
In: International Journal of Tomography & Statistics, vol. 6, no. 7, pp. 128-133, 2007.
@article{Hila07a,
title = {Low Parametric Sensitivity Realization Design for FWL Implementation of MIMO Controllers : Theory and Application to the Active Control of Vehicle Longitudinal Oscillations},
author = {T. Hilaire and P. Chevrel and J-P. Clauzel},
year = {2007},
date = {2007-01-01},
booktitle = {Special Issue on Control Applications of Optimisation},
journal = {International Journal of Tomography & Statistics},
volume = {6},
number = {7},
pages = {128-133},
abstract = {The implementation of a controller in a Finite Word Length (FWL) context may lead to a deterioration of the global performance, due to parametric errors (quantification of coefficients) and numerical noises (roundoff noises). This deterioration depends on the choise of the realization used to numerically implement the controller. In previous papers, the authors have introduced a new representation allowing to unify different realizations including among others those using q or delta-operators. In this paper, the parametric sensitivity measure is generalized in the MIMO case and used with a specific realization : the Observer-State-Feedback realization. Such a realization is not unique and one problem consists in finding an optimal realization according to that measure. Looking for such a structure is applied on a pratical example : the active control of vehicle longitudinal oscillations.},
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The implementation of a controller in a Finite Word Length (FWL) context may lead to a deterioration of the global performance, due to parametric errors (quantification of coefficients) and numerical noises (roundoff noises). This deterioration depends on the choise of the realization used to numerically implement the controller. In previous papers, the authors have introduced a new representation allowing to unify different realizations including among others those using q or delta-operators. In this paper, the parametric sensitivity measure is generalized in the MIMO case and used with a specific realization : the Observer-State-Feedback realization. Such a realization is not unique and one problem consists in finding an optimal realization according to that measure. Looking for such a structure is applied on a pratical example : the active control of vehicle longitudinal oscillations.
2006
Hilaire, T.
Analyse et synthèse de l'implémentation de lois de contrôle-commande en précision finie (Étude dans le cadre des applications automobiles sur calculateur embarquée) PhD Thesis
Université de Nantes, 2006.
@phdthesis{Hila06c,
title = {Analyse et synthèse de l'implémentation de lois de contrôle-commande en précision finie (Étude dans le cadre des applications automobiles sur calculateur embarquée)},
author = {T. Hilaire},
year = {2006},
date = {2006-06-01},
school = {Université de Nantes},
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Hilaire, T.; Chevrel, P.; Clauzel, J-P.
Low Parametric Sensitivity Realization Design for FWL Implementation of MIMO Controllers Proceedings Article
In: Proc. of Control Applications of Optimisation CAO'O6, 2006.
@inproceedings{Hila06a,
title = {Low Parametric Sensitivity Realization Design for FWL Implementation of MIMO Controllers},
author = {T. Hilaire and P. Chevrel and J-P. Clauzel},
year = {2006},
date = {2006-04-01},
booktitle = {Proc. of Control Applications of Optimisation CAO'O6},
abstract = {The implementation of a controller in a Finite Word Length (FWL) context may lead to a deterioration of the global performance, due to parametric errors (quantification of coefficients) and numerical noises (roundoff noises). This deterioration depends on the choise of the realization used to numerically implement the controller. In previous papers, the authors have introduced a new representation allowing to unify different realizations including among others those using q or delta-operators. In this paper, the parametric sensitivity measure is generalized in the MIMO case and used with a specific realization : the Observer-State-Feedback realization. Such a realization is not unique and one problem consists in finding an optimal realization according to that measure. Looking for such a structure is applied on a pratical example : the active control of vehicle longitudinal oscillations.},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
The implementation of a controller in a Finite Word Length (FWL) context may lead to a deterioration of the global performance, due to parametric errors (quantification of coefficients) and numerical noises (roundoff noises). This deterioration depends on the choise of the realization used to numerically implement the controller. In previous papers, the authors have introduced a new representation allowing to unify different realizations including among others those using q or delta-operators. In this paper, the parametric sensitivity measure is generalized in the MIMO case and used with a specific realization : the Observer-State-Feedback realization. Such a realization is not unique and one problem consists in finding an optimal realization according to that measure. Looking for such a structure is applied on a pratical example : the active control of vehicle longitudinal oscillations.
Hilaire, T.; Chevrel, P.; Clauzel, J-P.
Pole Sensitivity Stability Related Measure of FWL Realization with the Implicit State-Space Formalism Proceedings Article
In: 5th IFAC Symposium on Robust Control Design (ROCOND'06), 2006.
@inproceedings{Hila06b,
title = {Pole Sensitivity Stability Related Measure of FWL Realization with the Implicit State-Space Formalism},
author = {T. Hilaire and P. Chevrel and J-P. Clauzel},
year = {2006},
date = {2006-01-01},
booktitle = {5th IFAC Symposium on Robust Control Design (ROCOND'06)},
abstract = {The pole-sensitivity approach is an interesting way to analyze the stability of discrete-time control system with a Finite Word Length implemented digital controller. Previous works have introduced a pole-sensitivity stability related measure in this context, and applied it to shift or delta-realizations.
This paper generalizes then by considering a more general representation, a particular implicit state-space realization, which is recently known to encompass both classical shift or delta-realization, as well as other interesting parametrizations. Finally, the problem consisting in finding realizations optimizing the FWL closed-loop stability related measure is considered.},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
The pole-sensitivity approach is an interesting way to analyze the stability of discrete-time control system with a Finite Word Length implemented digital controller. Previous works have introduced a pole-sensitivity stability related measure in this context, and applied it to shift or delta-realizations.
This paper generalizes then by considering a more general representation, a particular implicit state-space realization, which is recently known to encompass both classical shift or delta-realization, as well as other interesting parametrizations. Finally, the problem consisting in finding realizations optimizing the FWL closed-loop stability related measure is considered.
This paper generalizes then by considering a more general representation, a particular implicit state-space realization, which is recently known to encompass both classical shift or delta-realization, as well as other interesting parametrizations. Finally, the problem consisting in finding realizations optimizing the FWL closed-loop stability related measure is considered.
2005
Hilaire, T.; Chevrel, P.; Trinquet, Y.
Designing Low Parametric Sensitivity FWL Realizations of LTI Controllers/Filters within the Implicit State-Space Framework Proceedings Article
In: Proc. of the 44th IEEE Conference on Decision and Control and the European Control Conference (CDC-ECC'05), pp. 5192-5197, 2005.
@inproceedings{Hila05b,
title = {Designing Low Parametric Sensitivity FWL Realizations of LTI Controllers/Filters within the Implicit State-Space Framework},
author = {T. Hilaire and P. Chevrel and Y. Trinquet},
year = {2005},
date = {2005-12-01},
booktitle = {Proc. of the 44th IEEE Conference on Decision and Control and the European Control Conference (CDC-ECC'05)},
pages = {5192-5197},
abstract = {The problem of Finite Word Length (FWL) implementation of Linear Time Invariant (LTI) filters or controllers is considered in this paper. A specialized implicit state-space representation enabling a macroscopic description of the algorithm to be implemented is exhibited. It constitutes a unifying framework to encompass various implementation form, such as q, delta, the observer-based and other realizations. This paper formalizes especially the problem consisting to analyze the parametric sensitivity of such realizations, and then to optimize them in order to limit deteriorations along the process of FWL implementation. The sensitivity of some structured realizations with respect to the coefficients involved and the computation effort are compared on an example.},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
The problem of Finite Word Length (FWL) implementation of Linear Time Invariant (LTI) filters or controllers is considered in this paper. A specialized implicit state-space representation enabling a macroscopic description of the algorithm to be implemented is exhibited. It constitutes a unifying framework to encompass various implementation form, such as q, delta, the observer-based and other realizations. This paper formalizes especially the problem consisting to analyze the parametric sensitivity of such realizations, and then to optimize them in order to limit deteriorations along the process of FWL implementation. The sensitivity of some structured realizations with respect to the coefficients involved and the computation effort are compared on an example.
Hilaire, T.; Chevrel, P.; Clauzel, J-P.
Description Macroscopique Unifiée de l'Implémentation de Régulateurs et Filtres Linéaires Unpublished
2005, (CCT PAF du CNES - Implantation des lois de commande).
@unpublished{Hila05d,
title = {Description Macroscopique Unifiée de l'Implémentation de Régulateurs et Filtres Linéaires},
author = {T. Hilaire and P. Chevrel and J-P. Clauzel},
year = {2005},
date = {2005-11-01},
note = {CCT PAF du CNES - Implantation des lois de commande},
keywords = {},
pubstate = {published},
tppubtype = {unpublished}
}
Hilaire, T.; Chevrel, P.; Trinquet, Y.; Clauzel, J-P.
Implémentation en précision finie : modélisation et recherche de réalisations optimales Unpublished
2005, (GdR MACS : GT MOSAR et GT SAR).
@unpublished{Hila05c,
title = {Implémentation en précision finie : modélisation et recherche de réalisations optimales},
author = {T. Hilaire and P. Chevrel and Y. Trinquet and J-P. Clauzel},
year = {2005},
date = {2005-06-01},
note = {GdR MACS : GT MOSAR et GT SAR},
keywords = {},
pubstate = {published},
tppubtype = {unpublished}
}
Hilaire, T.; Chevrel, P.; Trinquet, Y.
Implicit State-Space Representation : a Unifying Framework for FWL Implementation of LTI Systems Proceedings Article
In: Piztek, P. (Ed.): Proc. of the 16th IFAC World Congress, Elsevier, 2005.
@inproceedings{Hila05a,
title = {Implicit State-Space Representation : a Unifying Framework for FWL Implementation of LTI Systems},
author = {T. Hilaire and P. Chevrel and Y. Trinquet},
editor = {P. Piztek},
year = {2005},
date = {2005-01-01},
booktitle = {Proc. of the 16th IFAC World Congress},
publisher = {Elsevier},
abstract = {Practically, some intermediary realizations are used in order to simulate, numerically, dynamic systems. One of the most popular is the state-space realization. It reveals to be very useful to study the impact of Finite Word Length implementation, especially in the case of embedded controller. Numerous works concerned the design of the "best" realization concerning parameterisation, numerical noise minimisation or saving computation. This paper points out however that a standard state-space realization is too basic to take into account some interesting realizations. On the contrary, it highlights that implicit state-space realizations allows a more direct link with the macroscopic computations to be performed. It is necessary to describe some popular algorithms simulating LTI systems. Moreover, such a representation has the important property to unify different ways of research considering differently the possibilities offered by using the shift, delta or gamma operators.},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
Practically, some intermediary realizations are used in order to simulate, numerically, dynamic systems. One of the most popular is the state-space realization. It reveals to be very useful to study the impact of Finite Word Length implementation, especially in the case of embedded controller. Numerous works concerned the design of the "best" realization concerning parameterisation, numerical noise minimisation or saving computation. This paper points out however that a standard state-space realization is too basic to take into account some interesting realizations. On the contrary, it highlights that implicit state-space realizations allows a more direct link with the macroscopic computations to be performed. It is necessary to describe some popular algorithms simulating LTI systems. Moreover, such a representation has the important property to unify different ways of research considering differently the possibilities offered by using the shift, delta or gamma operators.
2004
Hilaire, T.; Chevrel, P.; Trinquet, Y.
Implémentation des lois de contrôle/commande dans les calculateurs PSA Unpublished
2004, (JDOC : Journée des Doctorants de l'EDSTIM).
@unpublished{Hila04,
title = {Implémentation des lois de contrôle/commande dans les calculateurs PSA},
author = {T. Hilaire and P. Chevrel and Y. Trinquet},
year = {2004},
date = {2004-01-01},
note = {JDOC : Journée des Doctorants de l'EDSTIM},
keywords = {},
pubstate = {published},
tppubtype = {unpublished}
}
2003
Hilaire, T.; Chevrel, P.
Implémentation des lois de contrôle/commande dans les calculateurs PSA : "Etat des lieux, analyse des besoins" Technical Report
rapport interne PSA 2003.
@techreport{Hila03b,
title = {Implémentation des lois de contrôle/commande dans les calculateurs PSA : "Etat des lieux, analyse des besoins"},
author = {T. Hilaire and P. Chevrel},
year = {2003},
date = {2003-10-01},
institution = {rapport interne PSA},
keywords = {},
pubstate = {published},
tppubtype = {techreport}
}
Hilaire, T.; Chevrel, P.
L'optimisation convexe pour la conception et l'analyse des lois de commande - formalisation grâce aux LMI Technical Report
Institut de Recherche en Communications et Cybernétique (IRCCyN) 2003.
@techreport{Hila03a,
title = {L'optimisation convexe pour la conception et l'analyse des lois de commande - formalisation grâce aux LMI},
author = {T. Hilaire and P. Chevrel},
year = {2003},
date = {2003-08-01},
institution = {Institut de Recherche en Communications et Cybernétique (IRCCyN)},
keywords = {},
pubstate = {published},
tppubtype = {techreport}
}
Hilaire, Thibault
Élaboration d'un Langage de Description dÁrchitecture Matérielle – Application au processeur Alpha21264 Masters Thesis
Université de Nantes, 2003.
@mastersthesis{Hila03c,
title = {Élaboration d'un Langage de Description dÁrchitecture Matérielle – Application au processeur Alpha21264},
author = {Thibault Hilaire},
year = {2003},
date = {2003-01-01},
school = {Université de Nantes},
keywords = {},
pubstate = {published},
tppubtype = {mastersthesis}
}
0000
Reyes, C.; Hilaire, T.; Paul, S.; Mecklenbräuker, C.
Evaluation of the Root Mean Square Error Performance of the PAST-Consensus Algorithm Conference
International ITG Workshop on Smart Antennas - WSA 2010, 0000.
@conference{Reye10,
title = {Evaluation of the Root Mean Square Error Performance of the PAST-Consensus Algorithm},
author = {C. Reyes and T. Hilaire and S. Paul and C. Mecklenbräuker},
booktitle = {International ITG Workshop on Smart Antennas - WSA 2010},
abstract = {In previous work, we developed and investigated a distributed Projection Approximation Subspace Tracking Algo- rithm (PAST-Consensus) based on Consensus Propagation for wireless sensor networks. Preliminary simulation results showing a good tracking capability and still reduced complexity, have motivated us to evaluate the performance of the aforementioned algorithm. In this work, some simulation results will be presented comparing the root mean square error for several signal to noise ratios, as well as the error in the signal subspace given by its angle difference.},
keywords = {},
pubstate = {published},
tppubtype = {conference}
}
In previous work, we developed and investigated a distributed Projection Approximation Subspace Tracking Algo- rithm (PAST-Consensus) based on Consensus Propagation for wireless sensor networks. Preliminary simulation results showing a good tracking capability and still reduced complexity, have motivated us to evaluate the performance of the aforementioned algorithm. In this work, some simulation results will be presented comparing the root mean square error for several signal to noise ratios, as well as the error in the signal subspace given by its angle difference.