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

González, Rodrigo A.; Tiels, Koen; Oomen, T.A.E.

doi:10.1016/j.ifacol.2023.10.1769

Identifying Lebesgue-sampled Continuous-time Impulse Response Models

Title

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

Author

González, Rodrigo A. (Eindhoven University of Technology)
Tiels, Koen (Eindhoven University of Technology)
Oomen, T.A.E. (TU Delft Team Jan-Willem van Wingerden; Eindhoven University of Technology)

Date

2023

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.

Subject

continuous-time systems
event-based sampling
System identification

To reference this document use:

http://resolver.tudelft.nl/uuid:6edd871f-89cb-4e99-8d93-5e51992c1ad2

DOI

https://doi.org/10.1016/j.ifacol.2023.10.1769

Source

IFAC-PapersOnLine, 56 (2), 4198-4203

Event

22nd IFAC World Congress, 2023-07-09 → 2023-07-14, Yokohama, Japan

Part of collection

Institutional Repository