Extending the Best Linear Approximation framework to the process noise case

Maarten Schoukens (Corresponding author), Rik M. Pintelon, Tadeusz Dobrowiecki, Johan Schoukens

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

The Best Linear Approximation (BLA) framework has already proven to be a valuable tool to analyze nonlinear 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 open-loop 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.
Original languageEnglish
Number of pages11
JournalIEEE Transactions on Automatic Control
DOIs
Publication statusAccepted/In press - 14 Jun 2019

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Additive noise
Nonlinear systems

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title = "Extending the Best Linear Approximation framework to the process noise case",
abstract = "The Best Linear Approximation (BLA) framework has already proven to be a valuable tool to analyze nonlinear 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 open-loop 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 Pintelon, {Rik M.} and Tadeusz Dobrowiecki and Johan Schoukens",
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Extending the Best Linear Approximation framework to the process noise case. / Schoukens, Maarten (Corresponding author); Pintelon, Rik M.; Dobrowiecki, Tadeusz; Schoukens, Johan.

In: IEEE Transactions on Automatic Control, 14.06.2019.

Research output: Contribution to journalArticleAcademicpeer-review

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