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 language | English |
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Title of host publication | Proceedings of the 2019 Conference on Decision and Control |
Publisher | Institute of Electrical and Electronics Engineers |
Pages | 213-219 |
Number of pages | 7 |
ISBN (Electronic) | 978-1-7281-1398-2 |
DOIs | |
Publication status | Published - Dec 2019 |
Event | 58th IEEE Conference on Decision and Control (CDC 2019) - Nice, France, Nice, France Duration: 11 Dec 2019 → 13 Dec 2019 https://cdc2019.ieeecss.org/ |
Publication series
Name | Proceedings of the IEEE Conference on Decision and Control |
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Volume | 2019-December |
ISSN (Print) | 0743-1546 |
ISSN (Electronic) | 2576-2370 |
Conference
Conference | 58th IEEE Conference on Decision and Control (CDC 2019) |
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Abbreviated title | CDC 2019 |
Country/Territory | France |
City | Nice |
Period | 11/12/19 → 13/12/19 |
Internet address |