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Extending the Best Linear Approximation Framework to the Process Noise Case. / Schoukens, Maarten; Pintelon, Rik; Dobrowiecki, Tadeusz; Schoukens, Joannes.

In: IEEE Transactions on Automatic Control, Vol. 65, No. 4, 01.04.2020, p. 1514-1524.

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Schoukens, Maarten ; Pintelon, Rik ; Dobrowiecki, Tadeusz ; Schoukens, Joannes. / Extending the Best Linear Approximation Framework to the Process Noise Case. In: IEEE Transactions on Automatic Control. 2020 ; Vol. 65, No. 4. pp. 1514-1524.

BibTeX

@article{59b82eb1abba422ca2f95f5dbaa6678e,
title = "Extending the Best Linear Approximation Framework to the Process Noise Case",
abstract = "The best linear approximation (BLA) frameworkhas already proven to be a valuable tool to analyzenonlinear systems and to start the nonlinear modeling process. The existing BLA framework is limited to systems with additive (colored) noise at the output. Such a noise framework is a simplified representation of reality. Process noise can play an important role in many real-life applications.This paper generalizes the best linear approximation framework to account also for the process noise, both for the openloop and the closed-loop setting, and shows that the most important properties of the existing BLA framework remain valid. The impact of the process noise contributions on the robust BLA estimation method is also analyzed.",
author = "Maarten Schoukens and Rik Pintelon and Tadeusz Dobrowiecki and Joannes Schoukens",
year = "2020",
month = "4",
day = "1",
doi = "10.1109/TAC.2019.2923038",
language = "English",
volume = "65",
pages = "1514--1524",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "4",

}

RIS

TY - JOUR

T1 - Extending the Best Linear Approximation Framework to the Process Noise Case

AU - Schoukens, Maarten

AU - Pintelon, Rik

AU - Dobrowiecki, Tadeusz

AU - Schoukens, Joannes

PY - 2020/4/1

Y1 - 2020/4/1

N2 - The best linear approximation (BLA) frameworkhas already proven to be a valuable tool to analyzenonlinear systems and to start the nonlinear modeling process. The existing BLA framework is limited to systems with additive (colored) noise at the output. Such a noise framework is a simplified representation of reality. Process noise can play an important role in many real-life applications.This paper generalizes the best linear approximation framework to account also for the process noise, both for the openloop and the closed-loop setting, and shows that the most important properties of the existing BLA framework remain valid. The impact of the process noise contributions on the robust BLA estimation method is also analyzed.

AB - The best linear approximation (BLA) frameworkhas already proven to be a valuable tool to analyzenonlinear systems and to start the nonlinear modeling process. The existing BLA framework is limited to systems with additive (colored) noise at the output. Such a noise framework is a simplified representation of reality. Process noise can play an important role in many real-life applications.This paper generalizes the best linear approximation framework to account also for the process noise, both for the openloop and the closed-loop setting, and shows that the most important properties of the existing BLA framework remain valid. The impact of the process noise contributions on the robust BLA estimation method is also analyzed.

U2 - 10.1109/TAC.2019.2923038

DO - 10.1109/TAC.2019.2923038

M3 - Article

VL - 65

SP - 1514

EP - 1524

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 4

ER -

ID: 51067759