Direct stability-switching delays determination procedure with differential averaging

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F18%3A63520095" target="_blank" >RIV/70883521:28140/18:63520095 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.sagepub.com/doi/abs/10.1177/0142331217700244" target="_blank" >https://journals.sagepub.com/doi/abs/10.1177/0142331217700244</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1177/0142331217700244" target="_blank" >10.1177/0142331217700244</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Direct stability-switching delays determination procedure with differential averaging

Popis výsledku v původním jazyce

In this paper, a direct computational method for the searching and determination of stability switching delays is introduced. The primary procedure is applicable to retarded linear time-invariant time-delay systems and it is based on the iterative (successive) estimation of the dominant pole of the infinite system spectrum by means of the Taylor’s series expansion in every node of the selected grid of discrete delay values. Whenever a crossing of the stability border is detected, the switching pole loci and the corresponding set of switching delays are further enhanced. To perform it, a linear Regula Falsi interpolation has been used in the original version. Here, two versions of the use of root tendency property are applied and compared. Root tendency expresses the change in the pole position with respect to the infinitesimal change in delays; that is, the complex valued gradient. Once a finite set of stability switching delays’ values is determined, these delays can be joined so that infinitely many switching delays are obtained. In this paper, the linear and the quadratic interpolations are compared in addition. The whole procedure is simply implementable by using standard software tools and it does not require special ones; neither a deep mathematical knowledge is required, which is favorable for the practice. A numerical example performed in MATLAB/Simulink environment demonstrates the accuracy of the algorithm and its substrategies compared with a well-established method for the delay-dependent stability analysis. Some beneficial and worthwhile ideas of how to cope with neutral delay systems are given and supported by an example as well

Název v anglickém jazyce

Direct stability-switching delays determination procedure with differential averaging

Popis výsledku anglicky

In this paper, a direct computational method for the searching and determination of stability switching delays is introduced. The primary procedure is applicable to retarded linear time-invariant time-delay systems and it is based on the iterative (successive) estimation of the dominant pole of the infinite system spectrum by means of the Taylor’s series expansion in every node of the selected grid of discrete delay values. Whenever a crossing of the stability border is detected, the switching pole loci and the corresponding set of switching delays are further enhanced. To perform it, a linear Regula Falsi interpolation has been used in the original version. Here, two versions of the use of root tendency property are applied and compared. Root tendency expresses the change in the pole position with respect to the infinitesimal change in delays; that is, the complex valued gradient. Once a finite set of stability switching delays’ values is determined, these delays can be joined so that infinitely many switching delays are obtained. In this paper, the linear and the quadratic interpolations are compared in addition. The whole procedure is simply implementable by using standard software tools and it does not require special ones; neither a deep mathematical knowledge is required, which is favorable for the practice. A numerical example performed in MATLAB/Simulink environment demonstrates the accuracy of the algorithm and its substrategies compared with a well-established method for the delay-dependent stability analysis. Some beneficial and worthwhile ideas of how to cope with neutral delay systems are given and supported by an example as well

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Transactions of the Institute of Measurement and Control

ISSN

0142-3312

e-ISSN

—

Svazek periodika

40

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

10

Strana od-do

2217-2226

Kód UT WoS článku

000432139500011

EID výsledku v databázi Scopus

2-s2.0-85045266458