Extremum seeking for dynamic maps using Lie brackets and singular perturbations

被引：37

作者：

Duerr, Hans-Bernd

Krstic, Miroslav ^{[1
,2
]}

Scheinker, Alexander ^{[3
]}

Ebenbauer, Christian ^{[4
]}

机构：

[1] Univ Calif San Diego, Dept Mech & Aerosp Engn, San Diego, CA 92093 USA

[2] Univ Calif San Diego, Cymer Ctr Control Syst & Dynam, San Diego, CA 92093 USA

[3] Los Alamos Natl Lab, Radio Frequency RF Control Grp, Los Alamos, NM USA

[4] Univ Stuttgart, Inst Syst Theory & Automat Control, Computat Control, Stuttgart, Germany

来源：

AUTOMATICA | 2017年 / 83卷

关键词：

Extremum seeking; Lie bracket approximations; Singular perturbations; STABILITY;

D O I：

10.1016/j.automatica.2017.05.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We introduce a framework for the analysis of extremum seeking systems for dynamic maps based on Lie bracket approximations and singular perturbation theory. Using the introduced framework, we provide an extremum seeking regulator for a unicycle and prove its stability properties. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：91 / 99

页数：9

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