Calculation of robustly relatively stabilizing PID controllers for linear time-invariant systems with unstructured uncertainty

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F22%3A63556338" target="_blank" >RIV/70883521:28140/22:63556338 - isvavai.cz</a>

Výsledek na webu

<a href="https://reader.elsevier.com/reader/sd/pii/S0019057822001999?token=8F8964850062CA753B7BC290A8E7DE2DF535C82F068807D421A40A4208C06B42E04B86B4B5FA8E39E3B4F21CBBAE1431&originRegion=eu-west-1&originCreation=20230212094206" target="_blank" >https://reader.elsevier.com/reader/sd/pii/S0019057822001999?token=8F8964850062CA753B7BC290A8E7DE2DF535C82F068807D421A40A4208C06B42E04B86B4B5FA8E39E3B4F21CBBAE1431&originRegion=eu-west-1&originCreation=20230212094206</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.isatra.2022.04.037" target="_blank" >10.1016/j.isatra.2022.04.037</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Calculation of robustly relatively stabilizing PID controllers for linear time-invariant systems with unstructured uncertainty

Popis výsledku v původním jazyce

This article deals with the calculation of all robustly relatively stabilizing (or robustly stabilizing as a special case) Proportional–Integral–Derivative (PID) controllers for Linear Time-Invariant (LTI) systems with unstructured uncertainty. The presented method is based on plotting the envelope that corresponds to the trios of P–I–D parameters marginally complying with given robust stability or robust relative stability condition formulated by means of the H∞ norm. Thus, this approach enables obtaining the region of robustly stabilizing or robustly relatively stabilizing controllers in a P–I–D space. The applicability of the technique is demonstrated in the illustrative examples, in which the regions of robustly stabilizing and robustly relatively stabilizing PID controllers are obtained for a controlled plant model with unstructured multiplicative uncertainty and unstructured additive uncertainty. Moreover, the method is also verified on the real laboratory model of a hot-air tunnel, for which two representative controllers from the robust relative stability region are selected and implemented.

Název v anglickém jazyce

Calculation of robustly relatively stabilizing PID controllers for linear time-invariant systems with unstructured uncertainty

Popis výsledku anglicky

This article deals with the calculation of all robustly relatively stabilizing (or robustly stabilizing as a special case) Proportional–Integral–Derivative (PID) controllers for Linear Time-Invariant (LTI) systems with unstructured uncertainty. The presented method is based on plotting the envelope that corresponds to the trios of P–I–D parameters marginally complying with given robust stability or robust relative stability condition formulated by means of the H∞ norm. Thus, this approach enables obtaining the region of robustly stabilizing or robustly relatively stabilizing controllers in a P–I–D space. The applicability of the technique is demonstrated in the illustrative examples, in which the regions of robustly stabilizing and robustly relatively stabilizing PID controllers are obtained for a controlled plant model with unstructured multiplicative uncertainty and unstructured additive uncertainty. Moreover, the method is also verified on the real laboratory model of a hot-air tunnel, for which two representative controllers from the robust relative stability region are selected and implemented.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

<a href="/cs/project/GF21-45465L" target="_blank" >GF21-45465L: Metaheuristicky založená parametrická optimalizace modelů a řídicích systémů s dopravním zpožděním</a><br>

Návaznosti

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

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

ISA TRANSACTIONS

ISSN

0019-0578

e-ISSN

1879-2022

Svazek periodika

131

Číslo periodika v rámci svazku

Neuveden

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

579-597

Kód UT WoS článku

000904647900001

EID výsledku v databázi Scopus

2-s2.0-85129925443