Singularly Perturbed Lie Bracket Approximation

被引：18

作者：

Duerr, Hans-Bernd ^{[1
]}

Krstic, Miroslav ^{[2
,3
]}

Scheinker, Alexander ^{[4
]}

Ebenbauer, Christian ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Syst Theory & Automat Control, D-70550 Stuttgart, Germany

[2] Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA

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

[4] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 12期

关键词：

Extremum seeking; Lie brackets; singular perturbations; PRACTICAL STABILITY; SYSTEMS; SEEKING;

D O I：

10.1109/TAC.2015.2416925

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 consider the interconnection of two dynamical systems where one has an input-affine vector field. By employing a singular perturbation and a Lie bracket analysis technique, we show how the trajectories can be approximated by two decoupled systems. From this trajectory approximation result and the stability properties of the decoupled systems, we derive stability properties of the overall system.

引用

页码：3287 / 3292

页数：6

共 15 条

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