Overview of total least-squares methods

I Markovsky, S Van Huffel - Signal processing, 2007 - Elsevier
We review the development and extensions of the classical total least-squares method and
describe algorithms for its generalization to weighted and structured approximation …

A new subspace identification approach based on principal component analysis

J Wang, SJ Qin - Journal of process control, 2002 - Elsevier
Principal component analysis (PCA) has been widely used for monitoring complex industrial
processes with multiple variables and diagnosing process and sensor faults. The objective …

[图书][B] Exact and approximate modeling of linear systems: A behavioral approach

I Markovsky, JC Willems, S Van Huffel, B De Moor - 2006 - SIAM
The behavioral approach, put forward in the three part paper by JC Willems [Wil87], includes
a rigorous framework for deriving mathematical models, a field called system identification …

Consistent dynamic PCA based on errors-in-variables subspace identification

W Li, SJ Qin - Journal of Process Control, 2001 - Elsevier
In this paper, we make a comparison between dynamic principal component analysis (PCA)
and errors-in-variables (EIV) subspace model identification (SMI) and establish consistency …

[图书][B] Errors-in-variables methods in system identification

T Söderström - 2018 - books.google.com
This book presents an overview of the different errors-in-variables (EIV) methods that can be
used for system identification. Readers will explore the properties of an EIV problem. Such …

Closed-loop subspace identification with innovation estimation

SJ Qin, L Ljung - IFAC Proceedings Volumes, 2003 - Elsevier
Most subspace identification algorithms are not applicable to closed-loop identification
because they require future input to be uncorrelated with past innovation. In this paper, we …

Application of structured total least squares for system identification and model reduction

I Markovsky, JC Willems, S Van Huffel… - … on Automatic Control, 2005 - ieeexplore.ieee.org
The following identification problem is considered: Minimize the/spl lscr//sub 2/norm of the
difference between a given time series and an approximating one under the constraint that …

Total least squares in fuzzy system identification: An application to an industrial engine

S Jakubek, C Hametner, N Keuth - Engineering Applications of Artificial …, 2008 - Elsevier
Takagi–Sugeno fuzzy models have proved to be a powerful tool for the identification of
nonlinear dynamic systems. Their generic nonlinear model representation is particularly …

Identification of nonlinear errors-in-variables models

I Vajk, J Hetthéssy - Automatica, 2003 - Elsevier
The paper is about a generalization of a classical eigenvalue-decomposition method
originally developed for errors-in-variables linear system identification to handle an …

Identification of linear time-invariant systems from multiple experiments

I Markovsky, R Pintelon - IEEE Transactions on Signal …, 2015 - ieeexplore.ieee.org
A standard assumption for consistent estimation in the errors-in-variables setting is
persistency of excitation of the noise-free input signal. We relax this assumption by …