Phasor extremum seeking control with adaptive perturbation amplitude

Khalid Tourkey Atta; Roland Hostettler; Wolfgang Birk; Andreas Johansson

doi:10.1109/CDC.2016.7799358

Phasor extremum seeking control with adaptive perturbation amplitude

Khalid Tourkey Atta, Roland Hostettler, Wolfgang Birk, Andreas Johansson

Department of Electrical Engineering and Automation

Luleå University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

7 Citations (Scopus)

205 Downloads (Pure)

Abstract

In this paper, we propose a perturbation amplitude adaption scheme for phasor extremum seeking control based on the plant's estimated gradient. By using phasor extremum seeking instead of classical extremum seeking, the problem of algebraic loops in the controller formulation is avoided. Furthermore, a stability analysis for the proposed method is provided, which is the first stability analysis for extremum seeking controllers using adaptive amplitudes. The proposed method is illustrated using numerical examples and it is found that changes in optimum can be tracked accurately while the steady-state perturbations can be reduced significantly.

Original language	English
Title of host publication	2016 IEEE 55th Conference on Decision and Control (CDC)
Publisher	IEEE
Pages	7069-7074
Number of pages	6
ISBN (Electronic)	978-1-5090-1837-6
DOIs	https://doi.org/10.1109/CDC.2016.7799358
Publication status	Published - 27 Dec 2016
MoE publication type	A4 Conference publication
Event	IEEE Conference on Decision and Control - ARIA Resort & Casino, Las Vegas, United States Duration: 12 Dec 2016 → 14 Dec 2016 Conference number: 55

Publication series

Name	Proceedings of the IEEE Conference on Decision & Control
ISSN (Print)	0743-1546

Conference

Conference	IEEE Conference on Decision and Control
Abbreviated title	CDC
Country/Territory	United States
City	Las Vegas
Period	12/12/2016 → 14/12/2016

Access to Document

10.1109/CDC.2016.7799358

2016-cdcAccepted author manuscript, 387 KB

Cite this

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title = "Phasor extremum seeking control with adaptive perturbation amplitude",

abstract = "In this paper, we propose a perturbation amplitude adaption scheme for phasor extremum seeking control based on the plant's estimated gradient. By using phasor extremum seeking instead of classical extremum seeking, the problem of algebraic loops in the controller formulation is avoided. Furthermore, a stability analysis for the proposed method is provided, which is the first stability analysis for extremum seeking controllers using adaptive amplitudes. The proposed method is illustrated using numerical examples and it is found that changes in optimum can be tracked accurately while the steady-state perturbations can be reduced significantly.",

author = "Atta, {Khalid Tourkey} and Roland Hostettler and Wolfgang Birk and Andreas Johansson",

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publisher = "IEEE",

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note = "IEEE Conference on Decision and Control , CDC ; Conference date: 12-12-2016 Through 14-12-2016",

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Atta, KT, Hostettler, R, Birk, W & Johansson, A 2016, Phasor extremum seeking control with adaptive perturbation amplitude. in 2016 IEEE 55th Conference on Decision and Control (CDC) ., 7799358, Proceedings of the IEEE Conference on Decision & Control, IEEE, pp. 7069-7074, IEEE Conference on Decision and Control , Las Vegas, United States, 12/12/2016. https://doi.org/10.1109/CDC.2016.7799358

Phasor extremum seeking control with adaptive perturbation amplitude. / Atta, Khalid Tourkey; Hostettler, Roland; Birk, Wolfgang et al.
2016 IEEE 55th Conference on Decision and Control (CDC) . IEEE, 2016. p. 7069-7074 7799358 (Proceedings of the IEEE Conference on Decision & Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

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AU - Hostettler, Roland

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AU - Johansson, Andreas

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PY - 2016/12/27

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N2 - In this paper, we propose a perturbation amplitude adaption scheme for phasor extremum seeking control based on the plant's estimated gradient. By using phasor extremum seeking instead of classical extremum seeking, the problem of algebraic loops in the controller formulation is avoided. Furthermore, a stability analysis for the proposed method is provided, which is the first stability analysis for extremum seeking controllers using adaptive amplitudes. The proposed method is illustrated using numerical examples and it is found that changes in optimum can be tracked accurately while the steady-state perturbations can be reduced significantly.

AB - In this paper, we propose a perturbation amplitude adaption scheme for phasor extremum seeking control based on the plant's estimated gradient. By using phasor extremum seeking instead of classical extremum seeking, the problem of algebraic loops in the controller formulation is avoided. Furthermore, a stability analysis for the proposed method is provided, which is the first stability analysis for extremum seeking controllers using adaptive amplitudes. The proposed method is illustrated using numerical examples and it is found that changes in optimum can be tracked accurately while the steady-state perturbations can be reduced significantly.

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M3 - Conference article in proceedings

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T2 - IEEE Conference on Decision and Control

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Phasor extremum seeking control with adaptive perturbation amplitude

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