Algorithms for subspace state-space system identification: an overview

B De Moor, P Van Overschee, W Favoreel - Applied and Computational …, 1999 - Springer
We give a general overview of the state of the art in subspace system identification methods.
We have restricted ourselves to the most important ideas and developments since the …

On consistency of subspace methods for system identification

M Jansson, B Wahlberg - Automatica, 1998 - Elsevier
Subspace methods for identification of linear time-invariant dynamical systems typically
consist of two main steps. First, a so-called subspace estimate is constructed. This first step …

Consistency and asymptotic normality of some subspace algorithms for systems without observed inputs

D Bauer, M Deistler, W Scherrer - Automatica, 1999 - Elsevier
Asymptotic normality for a class of subspace algorithms, which estimate the state in a first
step, is derived. Expressions for the asymptotic variance are given. Linear systems with …

Consistency analysis of subspace identification methods based on a linear regression approach

T Knudsen - Automatica, 2001 - Elsevier
In the literature results can be found which claim consistency for the subspace method under
certain quite weak assumptions. Unfortunately, a new result gives a counter example …

Vector ARMA estimation: A reliable subspace approach

J Mari, P Stoica, T McKelvey - IEEE Transactions on Signal …, 2000 - ieeexplore.ieee.org
A parameter estimation method for finite-dimensional multivariate linear stochastic systems,
which is guaranteed to produce valid models approximating the true underlying system in a …

[PDF][PDF] Subspace methods for identification and control of linear and bilinear systems

W Favoreel - Ph. Doctor dissertation, Katholiek Universiteit …, 1999 - researchgate.net
As the title suggests, this thesis can be divided into several parts. On the one hand it
considers identi cation as well as control, on the other hand linear as well as bilinear …

On the precision of the plant estimates in some subspace identification methods

K Ikeda - IFAC Proceedings Volumes, 2014 - Elsevier
Explicit formulae of dominant parts of the estimation errors of plant A matrix in PI-MOESP,
PO-MOESP, and one of N4SID methods are derived based on a proposing lemma on …

Non-Asymptotic Error Analysis of Subspace Identification for Deterministic Systems

S Sun - arXiv preprint arXiv:2412.16761, 2024 - arxiv.org
This paper is concerned with the perturbation error analysis of the widely-used Subspace
Identification Methods (SIM) for n-dimensional discrete-time Multiple-Input Multiple-Output …

[PDF][PDF] On subspace methods in system identification and sensor array signal processing

M Jansson - Stockholm: These de doctorat-Royal institute of …, 1997 - researchgate.net
The common theme of the thesis is the derivation and analysis of subspace parameter
estimation methods. In particular, this thesis is concerned with the identification of linear time …

Consistent estimate of Kalman gain in subspace identification method

K Ikeda - 2015 IEEE Conference on Control Applications (CCA), 2015 - ieeexplore.ieee.org
This paper proposes a consistent estimates of the Kalman gain and the covariance of the
innovations in the framework of subspace identification. The estimates of the system …