Bounded extremum seeking with discontinuous dithers

Scheinker, Alexander; Scheinker, David

doi:10.1016/j.automatica.2016.02.023

Title: Bounded extremum seeking with discontinuous dithers

Journal Article · Mon Mar 21 00:00:00 EDT 2016 · Automatica

DOI:https://doi.org/10.1016/j.automatica.2016.02.023· OSTI ID:1296682

Scheinker, Alexander ^[1]; Scheinker, David ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

The analysis of discontinuous extremum seeking (ES) controllers, e.g. those applicable to digital systems, has historically been more complicated than that of continuous controllers. We establish a simple and general extension of a recently developed bounded form of ES to a general class of oscillatory functions, including functions discontinuous with respect to time, such as triangle or square waves with dead time. We establish our main results by combining a novel idea for oscillatory control with an extension of functional analytic techniques originally utilized by Kurzweil, Jarnik, Sussmann, and Liu in the late 80s and early 90s and recently studied by Durr et al. Lastly, we demonstrate the value of the result with an application to inverter switching control.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1296682

Alternate ID(s):: OSTI ID: 1703099

Report Number(s):: LA-UR-16-20704

Journal Information:: Automatica, Vol. 69; ISSN 0005-1098

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 40 works

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Model-Independent Tuning for Maximizing Free Electron Laser Pulse Energy Scheinker, Alexander; Bohler, Dorian; Tomin, Sergey Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-05406	text	January 2019
A family of extremum seeking laws for a unicycle model with a moving target: theoretical and experimental studies Grushkovskaya, Victoria; Michalowsky, Simon; Zuyev, Alexander 2018 17th European Control Conference (ECC), 2018 European Control Conference (ECC) https://doi.org/10.23919/ecc.2018.8550280	conference	June 2018
On a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties Grushkovskaya, Victoria; Zuyev, Alexander; Ebenbauer, Christian arXiv https://doi.org/10.48550/arxiv.1703.02348	text	January 2017
Extremum Seeking Optimal Controls of Unknown Systems Scheinker, Alexander; Scheinker, David arXiv https://doi.org/10.48550/arxiv.1808.05181	preprint	January 2018
Phase space exchange-based bunch compression with reduced CSR effects Malyzhenkov, Alexander; Scheinker, Alexander arXiv https://doi.org/10.48550/arxiv.1809.05579	preprint	January 2018
Advanced Control Methods for Particle Accelerators (ACM4PA) 2019 Workshop Report Scheinker, Alexander; Emma, Claudio; Edelen, Auralee L. arXiv https://doi.org/10.48550/arxiv.2001.05461	preprint	January 2020

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