Peak Time-Windowed Mean Estimation using Convex Optimization

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00382534" target="_blank" >RIV/68407700:21230/24:00382534 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1109/CDC56724.2024.10885882" target="_blank" >https://doi.org/10.1109/CDC56724.2024.10885882</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/CDC56724.2024.10885882" target="_blank" >10.1109/CDC56724.2024.10885882</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Peak Time-Windowed Mean Estimation using Convex Optimization

Popis výsledku v původním jazyce

This paper presents an algorithmic approach towards bounding the peak time-windowed average value attained by a state function along trajectories of a dynamical system. An example includes the maximum average current flowing across a power line in any 5 -minute window. The peak time-windowed mean estimation task may be posed as a finite-dimensional but nonconvex optimization problem in terms of an initial condition and stopping time. This problem can be lifted into an infinite-dimensional linear program in occupation measures, where no conservatism is introduced under compactness and dynamical regularity assumptions. The peak time-windowed mean estimation linear program is in turn truncated into a convergent sequence of semidefinite programs using the moment-Sum-of-Squares hierarchy. Bounds of the time-windowed mean are computed for example systems.

Název v anglickém jazyce

Peak Time-Windowed Mean Estimation using Convex Optimization

Popis výsledku anglicky

This paper presents an algorithmic approach towards bounding the peak time-windowed average value attained by a state function along trajectories of a dynamical system. An example includes the maximum average current flowing across a power line in any 5 -minute window. The peak time-windowed mean estimation task may be posed as a finite-dimensional but nonconvex optimization problem in terms of an initial condition and stopping time. This problem can be lifted into an infinite-dimensional linear program in occupation measures, where no conservatism is introduced under compactness and dynamical regularity assumptions. The peak time-windowed mean estimation linear program is in turn truncated into a convergent sequence of semidefinite programs using the moment-Sum-of-Squares hierarchy. Bounds of the time-windowed mean are computed for example systems.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20205 - Automation and control systems

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of the 63rd IEEE Conference on Decision and Control

ISBN

979-8-3503-1633-9

ISSN

0743-1546

e-ISSN

2576-2370

Počet stran výsledku

6

Strana od-do

703-708

Název nakladatele

IEEE

Místo vydání

Piscataway

Místo konání akce

Milan Convention Centre

Datum konání akce

16. 12. 2024

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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