Identifying Lebesgue-sampled Continuous-time Impulse Response Models: A Kernel-based Approach

Rodrigo A. González; Koen Tiels; Tom Oomen

doi:10.1016/j.ifacol.2023.10.1769

Identifying Lebesgue-sampled Continuous-time Impulse Response Models: A Kernel-based Approach

Rodrigo A. González^*, Koen Tiels^*, Tom Oomen^*

^*Corresponding author for this work

Team Jan-Willem van Wingerden

Research output: Contribution to journal › Conference article › Scientific › peer-review

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Abstract

Control applications are increasingly sampled non-equidistantly in time, including in motion control, networked control, resource-aware control, and event-triggered control. Some of these applications use measurement devices that sample equidistantly in the amplitude domain. The aim of this paper is to develop a non-parametric estimator of the impulse response of continuous-time systems based on such sampling strategy, known as Lebesgue-sampling. To this end, kernel methods are developed to formulate an algorithm that adequately takes into account the output intersample behavior, which ultimately leads to more accurate models and more efficient output sampling compared to the standard approach. The efficacy of this method is demonstrated through a mass-spring damper case study.

Original language	English
Pages (from-to)	4198-4203
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	56
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2023.10.1769
Publication status	Published - 2023
Event	22nd IFAC World Congress - Yokohama, Japan Duration: 9 Jul 2023 → 14 Jul 2023

Funding

This work is part of the research program VIDI with project number 15698, which is (partly) financed by The Netherlands Organization for Scientific Research (NWO).

Keywords

continuous-time systems
event-based sampling
System identification

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10.1016/j.ifacol.2023.10.1769

1-s2.0-S240589632302178X-mainFinal published version, 587 KBLicence: CC BY-NC-ND

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title = "Identifying Lebesgue-sampled Continuous-time Impulse Response Models: A Kernel-based Approach",

abstract = "Control applications are increasingly sampled non-equidistantly in time, including in motion control, networked control, resource-aware control, and event-triggered control. Some of these applications use measurement devices that sample equidistantly in the amplitude domain. The aim of this paper is to develop a non-parametric estimator of the impulse response of continuous-time systems based on such sampling strategy, known as Lebesgue-sampling. To this end, kernel methods are developed to formulate an algorithm that adequately takes into account the output intersample behavior, which ultimately leads to more accurate models and more efficient output sampling compared to the standard approach. The efficacy of this method is demonstrated through a mass-spring damper case study.",

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AU - González, Rodrigo A.

AU - Tiels, Koen

AU - Oomen, Tom

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AB - Control applications are increasingly sampled non-equidistantly in time, including in motion control, networked control, resource-aware control, and event-triggered control. Some of these applications use measurement devices that sample equidistantly in the amplitude domain. The aim of this paper is to develop a non-parametric estimator of the impulse response of continuous-time systems based on such sampling strategy, known as Lebesgue-sampling. To this end, kernel methods are developed to formulate an algorithm that adequately takes into account the output intersample behavior, which ultimately leads to more accurate models and more efficient output sampling compared to the standard approach. The efficacy of this method is demonstrated through a mass-spring damper case study.

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Identifying Lebesgue-sampled Continuous-time Impulse Response Models: A Kernel-based Approach

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