Generation of new exciting regressors for consistent on-line estimation of unknown constant parameters
Methodology
2022-03-14 v3 Systems and Control
Systems and Control
Abstract
The problem of parameter estimation from a standard vector linear regression equation in the absence of sufficient excitation in the regressor is addressed. The first step to solve the problem consists in transforming this equation into a set of scalar ones using the well-known dynamic regressor extension and mixing technique. Then a novel procedure to generate new scalar exciting regressors is proposed.} The superior performance of a classical gradient estimator using this new regressor, instead of the original one, is illustrated with comprehensive simulations.
Keywords
Cite
@article{arxiv.2104.02210,
title = {Generation of new exciting regressors for consistent on-line estimation of unknown constant parameters},
author = {Alexey Bobtsov and Bowen Yi and Romeo Ortega and Alessandro Astolfi},
journal= {arXiv preprint arXiv:2104.02210},
year = {2022}
}