Decoupling with Stability of Linear Systems by Static-State Feedback

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F21%3A00344050" target="_blank" >RIV/68407700:21730/21:00344050 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1109/TAC.2020.3031008" target="_blank" >https://doi.org/10.1109/TAC.2020.3031008</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/TAC.2020.3031008" target="_blank" >10.1109/TAC.2020.3031008</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Decoupling with Stability of Linear Systems by Static-State Feedback

Popis výsledku v původním jazyce

A solution is presented to a long-standing open problem of control theory, the decoupling of linear systems using static-state feedback while assuring stability. Both diagonal and block decoupling is considered. The earliest known investigation of system decoupling dates back to 1934 and all past stable solutions were obtained under restrictive assumptions on system, block structure, or on a particular form of the control law. Most often, the results were limited to regular state feedback. The present formulation avoids restrictive hypotheses. The system is stabilized first and then decoupled while preserving stability. The existence of decoupling feedback is conditioned by system invariants with respect to the group of stability-preserving decoupling transformations. Since nonregular state feedback is authorized, some well-known results of regular decoupling are not retained. In particular, the presence of interconnection zeros does not prevent a stable decoupling to be achievable.

Název v anglickém jazyce

Decoupling with Stability of Linear Systems by Static-State Feedback

Popis výsledku anglicky

A solution is presented to a long-standing open problem of control theory, the decoupling of linear systems using static-state feedback while assuring stability. Both diagonal and block decoupling is considered. The earliest known investigation of system decoupling dates back to 1934 and all past stable solutions were obtained under restrictive assumptions on system, block structure, or on a particular form of the control law. Most often, the results were limited to regular state feedback. The present formulation avoids restrictive hypotheses. The system is stabilized first and then decoupled while preserving stability. The existence of decoupling feedback is conditioned by system invariants with respect to the group of stability-preserving decoupling transformations. Since nonregular state feedback is authorized, some well-known results of regular decoupling are not retained. In particular, the presence of interconnection zeros does not prevent a stable decoupling to be achievable.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/EF15_003%2F0000466" target="_blank" >EF15_003/0000466: Umělá inteligence a uvažování</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

IEEE Transactions on Automatic Control

ISSN

0018-9286

e-ISSN

1558-2523

Svazek periodika

66

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

16

Strana od-do

4684-4699

Kód UT WoS článku

000698859900018

EID výsledku v databázi Scopus

2-s2.0-85115974157