Stability analysis of low-voltage direct current system with time-varying delay

This paper investigates the stability analysis of LVDC systems with time-varying delay. A hierarchical control model is constructed for LVDC systems subjected to time-varying delay. Furthermore, a novel Lyapunov-Krasovskii functional is developed by introducing the augmented terms and the delay-depe...

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Main Authors: Ning Liu, Wei Qian
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Systems Science & Control Engineering
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/21642583.2023.2293918
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author Ning Liu
Wei Qian
author_facet Ning Liu
Wei Qian
author_sort Ning Liu
collection DOAJ
description This paper investigates the stability analysis of LVDC systems with time-varying delay. A hierarchical control model is constructed for LVDC systems subjected to time-varying delay. Furthermore, a novel Lyapunov-Krasovskii functional is developed by introducing the augmented terms and the delay-dependent matrices. To reduce the conservativeness of stability criteria, the constructed functional is effectively estimated by using the quadratic function inequalities and composite relaxation integral inequalities. Finally, the simulation results are given to validate the proposed method with a higher time-delay stability margin of LVDC systems.
format Article
id doaj-art-2c6e12a45cf64c3491ca28c3d6ee1d35
institution Kabale University
issn 2164-2583
language English
publishDate 2024-12-01
publisher Taylor & Francis Group
record_format Article
series Systems Science & Control Engineering
spelling doaj-art-2c6e12a45cf64c3491ca28c3d6ee1d352024-12-17T09:06:12ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832024-12-0112110.1080/21642583.2023.2293918Stability analysis of low-voltage direct current system with time-varying delayNing Liu0Wei Qian1Department of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, People’s Republic of ChinaDepartment of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, People’s Republic of ChinaThis paper investigates the stability analysis of LVDC systems with time-varying delay. A hierarchical control model is constructed for LVDC systems subjected to time-varying delay. Furthermore, a novel Lyapunov-Krasovskii functional is developed by introducing the augmented terms and the delay-dependent matrices. To reduce the conservativeness of stability criteria, the constructed functional is effectively estimated by using the quadratic function inequalities and composite relaxation integral inequalities. Finally, the simulation results are given to validate the proposed method with a higher time-delay stability margin of LVDC systems.https://www.tandfonline.com/doi/10.1080/21642583.2023.2293918Low-voltage direct current (LVDC) systemstime-varying delayhierarchical controlLyapunov-Krasovskii functional
spellingShingle Ning Liu
Wei Qian
Stability analysis of low-voltage direct current system with time-varying delay
Systems Science & Control Engineering
Low-voltage direct current (LVDC) systems
time-varying delay
hierarchical control
Lyapunov-Krasovskii functional
title Stability analysis of low-voltage direct current system with time-varying delay
title_full Stability analysis of low-voltage direct current system with time-varying delay
title_fullStr Stability analysis of low-voltage direct current system with time-varying delay
title_full_unstemmed Stability analysis of low-voltage direct current system with time-varying delay
title_short Stability analysis of low-voltage direct current system with time-varying delay
title_sort stability analysis of low voltage direct current system with time varying delay
topic Low-voltage direct current (LVDC) systems
time-varying delay
hierarchical control
Lyapunov-Krasovskii functional
url https://www.tandfonline.com/doi/10.1080/21642583.2023.2293918
work_keys_str_mv AT ningliu stabilityanalysisoflowvoltagedirectcurrentsystemwithtimevaryingdelay
AT weiqian stabilityanalysisoflowvoltagedirectcurrentsystemwithtimevaryingdelay