Kernel methods in system identification, machine learning and function estimation: A survey

G Pillonetto, F Dinuzzo, T Chen, G De Nicolao, L Ljung - Automatica, 2014 - Elsevier
Most of the currently used techniques for linear system identification are based on classical
estimation paradigms coming from mathematical statistics. In particular, maximum likelihood …

Regularization and Bayesian learning in dynamical systems: Past, present and future

A Chiuso - Annual Reviews in Control, 2016 - Elsevier
Regularization and Bayesian methods for system identification have been repopularized in
the recent years, and proved to be competitive wrt classical parametric approaches. In this …

Constrained subspace method for the identification of structured state-space models (COSMOS)

C Yu, L Ljung, A Wills… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this article, a unified identification framework called constrained subspace method for
structured state-space models (COSMOS) is presented, where the structure is defined by a …

Subspace identification of individual systems in a large-scale heterogeneous network

C Yu, J Chen, M Verhaegen - Automatica, 2019 - Elsevier
This paper considers the identification of a network consisting of discrete-time LTI systems
that are interconnected by their unmeasurable states. For a large-scale network, the …

Tuning complexity in regularized kernel-based regression and linear system identification: The robustness of the marginal likelihood estimator

G Pillonetto, A Chiuso - Automatica, 2015 - Elsevier
Kernel-based regularization approaches have been successfully applied in the last years for
regression purposes. Recently, these machine learning techniques have been also …

Regularized linear system identification using atomic, nuclear and kernel-based norms: The role of the stability constraint

G Pillonetto, T Chen, A Chiuso, G De Nicolao, L Ljung - Automatica, 2016 - Elsevier
Inspired by ideas taken from the machine learning literature, new regularization techniques
have been recently introduced in linear system identification. In particular, all the adopted …

Frequency domain subspace identification using nuclear norm minimization and Hankel matrix realizations

RS Smith - IEEE Transactions on Automatic Control, 2014 - ieeexplore.ieee.org
Subspace identification techniques have gained widespread acceptance as a method of
obtaining a low-order model from data. These are based on using the singular-value …

Low-rank optimization with convex constraints

C Grussler, A Rantzer… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
The problem of low-rank approximation with convex constraints, which appears in data
analysis, system identification, model order reduction, low-order controller design, and low …

Closed-loop identification of unstable systems using noncausal FIR models

KF Aljanaideh, DS Bernstein - International Journal of Control, 2017 - Taylor & Francis
Noncausal finite impulse response (FIR) models are used for closed-loop identification of
unstable multi-input, multi-output plants. These models are shown to approximate the …

The quest for the right kernel in Bayesian impulse response identification: The use of OBFs

MAH Darwish, G Pillonetto, R Tóth - Automatica, 2018 - Elsevier
Kernel-based regularization approaches for impulse response estimation of Linear Time-
Invariant (LTI) systems have received a lot of attention recently. The reason is that …