Kernel-based identification of non-causal systems with application to inverse model control

L Blanken, T Oomen - Automatica, 2020 - Elsevier
Abstract Models of inverse systems are commonly encountered in control, eg, feedforward.
The aim of this paper is to address several aspects in identification of inverse models …

A new kernel-based approach for linear system identification

G Pillonetto, G De Nicolao - Automatica, 2010 - Elsevier
This paper describes a new kernel-based approach for linear system identification of stable
systems. We model the impulse response as the realization of a Gaussian process whose …

[PDF][PDF] Model and system inversion with applications in nonlinear system identification and control

O Markusson - 2001 - diva-portal.org
Inversion plays an important role in both control and parameter estimation. Control can be
viewed as system inversion since the objective is to determine the input to a system, given a …

Kernel selection in linear system identification Part I: A Gaussian process perspective

G Pillonetto, G De Nicolao - 2011 50th IEEE conference on …, 2011 - ieeexplore.ieee.org
In some recent works, an alternative nonparametric paradigm to linear model identification
has been proposed, where the unknown system impulse response is interpreted as a …

Kernel-based models for system analysis

HJ Van Waarde, R Sepulchre - IEEE Transactions on Automatic …, 2022 - ieeexplore.ieee.org
This article introduces a computational framework to identify nonlinear input–output
operators that fit a set of system trajectories while satisfying incremental integral quadratic …

A new kernel-based approach to hybrid system identification

G Pillonetto - Automatica, 2016 - Elsevier
All the approaches for hybrid system identification appeared in the literature assume that
model complexity is known. Popular models are eg piecewise ARX with a priori fixed orders …

System identification using kernel-based regularization: New insights on stability and consistency issues

G Pillonetto - Automatica, 2018 - Elsevier
Learning from examples is one of the key problems in science and engineering. It deals with
function reconstruction from a finite set of direct and noisy samples. Regularization in …

A general framework for approximated model stable inversion

R Romagnoli, E Garone - Automatica, 2019 - Elsevier
In this paper we propose an approximated method for the design of feedforward actions
based on model stable inversion. In the proposed framework the solution of the model stable …

Estimating models of inverse systems

Y Jung, M Enqvist - 52nd IEEE Conference on Decision and …, 2013 - ieeexplore.ieee.org
This paper considers the problem of how to estimate a model of the inverse of a system. The
use of inverse systems can be found in many applications, such as feedforward control and …

Approximation error analysis in nonlinear state estimation with an application to state-space identification

JMJ Huttunen, JP Kaipio - Inverse Problems, 2007 - iopscience.iop.org
Nonstationary inverse problems are usually cast in the state-space formalism. The complete
statistics of linear Gaussian problems can be computed with the Kalman filters and …