Automatica, Vol.43, No.8, 1339-1354, 2007
An improved bias-compensation approach for errors-in-variables model identification
Parametric estimation of the dynamic effors-in-variables models is considered in this paper. In particular, a bias compensation approach is examined in a generalized framework. Sufficient conditions for uniqueness of the identified model are presented. Subsequently, a statistical accuracy analysis of the estimation algorithm is carried out. The asymptotic covariance matrix of the system parameter estimates depends on a user chosen filter and a certain weighting matrix. It is shown how these can be tuned to boost the estimation performance. The numerical simulation results suggest that the covariance matrix of the estimated parameter vector is very close to the Cramer-Rao lower bound for the estimation problem. (c) 2007 Elsevier Ltd. All rights reserved.