ISS-like properties in Lie-bracket approximations and application to extremum seeking

被引：13

作者：

Labar, Christophe ^{[1
,2
]}

Ebenbauer, Christian ^{[2
]}

Marconi, Lorenzo ^{[1
]}

机构：

[1] Univ Bologna, CASY DEI, I-40136 Bologna, Italy

[2] Rhein Westfal TH Aachen, Chair Intelligent Control Syst, D-52074 Aachen, Germany

来源：

AUTOMATICA | 2022年 / 136卷

关键词：

Lie-bracket approximation; Input-to-state stability; Extremum seeking; Time-varying optimum; Noise; SYSTEMS; STABILITY;

D O I：

10.1016/j.automatica.2021.110041

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider a class of nonlinear time-varying systems that are subject to uncontrolled inputs. Those inputs may represent, for instance, disturbances, time-varying parameters, or model uncertainties. Exploiting the stability properties of an extended system, a so-called Lie-bracket system, we derive stability properties of the original system. Those stability results, in the spirit of input to-state stability, are then applied to the case where the dynamical system is an extremum seeking system. Two scenarios are analyzed. We first consider that the uncontrolled input is a deterministic noise corrupting the cost measurement. We then examine the case where the uncontrolled input induces time-variations of the cost optimizer. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：14

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