On DREM regularization and unexcited linear ...
Document type :
Communication dans un congrès avec actes
Title :
On DREM regularization and unexcited linear regression estimation
Author(s) :
Aranovskiy, Stanislav [Auteur]
CentraleSupélec [campus de Rennes]
Institut d'Électronique et des Technologies du numéRique [IETR]
Ushirobira, Rosane [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
CentraleSupélec [campus de Rennes]
Institut d'Électronique et des Technologies du numéRique [IETR]
Ushirobira, Rosane [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Conference title :
62nd IEEE Conference on Decision and Control
City :
SINGAPORE
Country :
Singapour
Start date of the conference :
2023-12-13
English keyword(s) :
DREM
Parameter Estimation
Excitation
Regularization
Parameter Estimation
Excitation
Regularization
HAL domain(s) :
Informatique [cs]/Systèmes et contrôle [cs.SY]
Sciences de l'ingénieur [physics]/Automatique / Robotique
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
The problem of estimation of unknown constant parameters in the linear regression with measurement noise is considered. Analysing different levels of excitation of the regressor, two notions of partial and feeble excitation ...
Show more >The problem of estimation of unknown constant parameters in the linear regression with measurement noise is considered. Analysing different levels of excitation of the regressor, two notions of partial and feeble excitation are introduced. The former implies the absence of the persistent or interval excitation, while the latter property says that the excitation is just insufficient for an efficient estimation in a noisy setting. The dynamic extension and mixing method (DREM) is used for the problem solution, and in order to improve its estimation performance, regularization is proposed and the resulting improvement is investigated analytically. The theoretical findings are illustrated in the simulations.Show less >
Show more >The problem of estimation of unknown constant parameters in the linear regression with measurement noise is considered. Analysing different levels of excitation of the regressor, two notions of partial and feeble excitation are introduced. The former implies the absence of the persistent or interval excitation, while the latter property says that the excitation is just insufficient for an efficient estimation in a noisy setting. The dynamic extension and mixing method (DREM) is used for the problem solution, and in order to improve its estimation performance, regularization is proposed and the resulting improvement is investigated analytically. The theoretical findings are illustrated in the simulations.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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