Sampled-Data Extremum-Seeking Control for Optimization of Constrained Dynamical Systems Using Barrier Function Methods

Leroy Hazeleger, Dragan Nešić, Nathan van de Wouw

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

Abstract

Most extremum-seeking control approaches focus solely on the problem of finding the extremum of some unknown, steady-state performance map. However, many industrial applications also have to deal with constraints on operating conditions due to, e.g., actuator limitations, limitations on design or tunable system parameters, or constraints on measurable signals. These constraints, which can be unknown a-priori, may conflict with the otherwise optimal operational condition, and should be taken into account in performance optimization. In this work, we propose a sampled-data extremum-seeking approach for optimization of constrained dynamical systems using barrier function methods, where both the objective function and the constraint function are available through measurement only. We show that, under the assumption that initialization does not violate constraints, the interconnection between a constrained dynamical system and optimization algorithms that employ barrier function methods is stable, the constraints are satisfied, and optimization is achieved. We illustrate the results by means of a numerical example.

Original languageEnglish
Title of host publicationProceedings of the 2019 Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers
Pages213-219
Number of pages7
ISBN (Electronic)978-1-7281-1398-2
DOIs
Publication statusPublished - Dec 2019
Event58th IEEE Conference on Decision and Control (CDC 2019) - Nice, France
Duration: 11 Dec 201913 Dec 2019
https://cdc2019.ieeecss.org/

Conference

Conference58th IEEE Conference on Decision and Control (CDC 2019)
Abbreviated titleCDC 2019
Country/TerritoryFrance
CityNice
Period11/12/1913/12/19
Internet address

Fingerprint

Dive into the research topics of 'Sampled-Data Extremum-Seeking Control for Optimization of Constrained Dynamical Systems Using Barrier Function Methods'. Together they form a unique fingerprint.

Cite this