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Lyapunov-Krasovskii Functionals of Robust Type and Their Legendre-Tau-Based Approximation

Scholl, Tessina H. 1; Hagenmeyer, Veit ORCID iD icon 1; Gröll, Lutz 1
1 Institut für Automation und angewandte Informatik (IAI), Karlsruher Institut für Technologie (KIT)

Abstract:

Lyapunov-Krasovskii functionals of robust type have recently been introduced for the stability analysis in time-delay systems. They are inspired by the wide-spread Lyapunov-Krasovskii functionals of complete type, but aim at improved robustness results. The present paper recaps the most important aspects and proposes a numerical method to solve the defning equation of these functionals numerically. The numerical method relies on a Legendre-tau-based ODE approximation of the time-delay system and has recently been shown to yield convincing results for the finite-dimensional approximation of Lyapunov-Krasovskii functionals of complete type. In the latter case, a Lyapunov equation has to be solved. In the case of Lyapunov-Krasovskii functionals of robust type, an algebraic Riccati equation has to be solved instead.

Zugehörige Institution(en) am KIT Institut für Automation und angewandte Informatik (IAI)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2024
Sprache Englisch
Identifikator ISSN: 2405-8963
KITopen-ID: 1000176871
HGF-Programm 37.12.01 (POF IV, LK 01) Digitalization & System Technology for Flexibility Solutions
Erschienen in IFAC-PapersOnLine
Verlag International Federation of Automatic Control (IFAC)
Band 58
Heft 27
Seiten 219–224
Vorab online veröffentlicht am 26.11.2024
Nachgewiesen in Dimensions

Verlagsausgabe §
DOI: 10.5445/IR/1000176871
Veröffentlicht am 03.12.2024
Originalveröffentlichung
DOI: 10.1016/j.ifacol.2024.10.327
Seitenaufrufe: 20
seit 06.12.2024
Downloads: 5
seit 10.12.2024
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