Parabolic set simulation for reachability analysis of linear time-invariant systems with integral quadratic constraint

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00347917" target="_blank" >RIV/68407700:21230/21:00347917 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.ejcon.2020.08.002" target="_blank" >https://doi.org/10.1016/j.ejcon.2020.08.002</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ejcon.2020.08.002" target="_blank" >10.1016/j.ejcon.2020.08.002</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Parabolic set simulation for reachability analysis of linear time-invariant systems with integral quadratic constraint

Popis výsledku v původním jazyce

This paper describes the computation of reachable sets and tubes for linear time-invariant systems with an unknown input bounded by integral quadratic constraints, modeling e.g. delay, rate limiter, or energy bounds. We define a family of paraboloidal overapproximations. These paraboloids are supported by the reachable tube on touching trajectories. Parameters of each paraboloid are expressed as a solution to an initial value problem. Compared to previous methods based on the classical linear quadratic regulator, our approach can be applied to unstable systems as well. We tested our approach on large scale systems.

Název v anglickém jazyce

Parabolic set simulation for reachability analysis of linear time-invariant systems with integral quadratic constraint

Popis výsledku anglicky

This paper describes the computation of reachable sets and tubes for linear time-invariant systems with an unknown input bounded by integral quadratic constraints, modeling e.g. delay, rate limiter, or energy bounds. We define a family of paraboloidal overapproximations. These paraboloids are supported by the reachable tube on touching trajectories. Parameters of each paraboloid are expressed as a solution to an initial value problem. Compared to previous methods based on the classical linear quadratic regulator, our approach can be applied to unstable systems as well. We tested our approach on large scale systems.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

European Journal of Control

ISSN

0947-3580

e-ISSN

1435-5671

Svazek periodika

58

Číslo periodika v rámci svazku

March

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

16

Strana od-do

152-167

Kód UT WoS článku

000620926100016

EID výsledku v databázi Scopus

2-s2.0-85090058882