Fast extremum seeking using multisine dither and online complex curve fitting

Thijs A.C. van Keulen, Robert van der Weijst, Tom A.E. Oomen

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

Fast online optimization of uncertain Wiener systems using extremum seeking control (ESC) is investigated. Derivative estimation in extremum seeking is herefore described as an online parametric system identification problem. Multisine dithering is applied with frequencies around the first resonance frequency of the system to remove the time scale separation between dither and plant dynamics which is commonly required in ESC. Recursive use of the Fourier transform, over a moving window of historic data, provides a frequency response function estimate of the system's local best linear approximation. Continuous online complex curve fitting is then applied to extrapolate to an estimate of the steady-state response which coincides with the local gradient of the steady-state objective function. An analysis of the closed-loop dynamics is provided. Transient improvements and robustness of the approach against plant variation are demonstrated with a simulation example.
Original languageEnglish
Title of host publicationIFAC world congress 2020
Number of pages6
Publication statusAccepted/In press - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 12 Jul 202017 Jul 2020
https://www.ifac2020.org/

Conference

Conference21st IFAC World Congress 2020
CountryGermany
CityBerlin
Period12/07/2017/07/20
Internet address

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