Finding Stability Bounds for Delayed Systems with Uncertain Parameters

Publikationstyp
Conference Paper
Date Issued
2021-06
Sprache
English
Author(s)
Williams Riquer, Francisco 
Gronemeyer, Marcus  
Horn, Joachim  
Institut
Geotechnik und Baubetrieb B-5  
TORE-URI
http://hdl.handle.net/11420/11782
Start Page
453
End Page
458
Citation
European Control Conference (ECC 2021)
Contribution to Conference
European Control Conference, ECC 2021  
Publisher DOI
10.23919/ECC54610.2021.9655056
Scopus ID
2-s2.0-85124907088
This work addresses the problem of determining the stability picture of an uncertain system with a time delay in the feedback line. Using the Cluster Treatment of Characteristic Roots (CTCR) and the preparatory step, the Spectral Delay Space (SDS), this work proposes an iterative approach to draw the stability picture of the system by effectively running the CTCR procedure for different points on a defined grid of values of the uncertainty. The technique presented in this work focuses on the appearance of purely imaginary roots to draw an exact stability picture of a system. Moreover, a case study of a portal crane with uncertainty in the lifted mass is presented to exemplify the results of this approach.