Stability analysis of spatially interconnected systems with signal saturation

The robust stability problem of spatially interconnected systems with signal saturation among the many composed subsystems is considered. The system structure is usually sparse, and each subsystem has different dynamics. Firstly, a robust stability condition is established based on integral quadrati...

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Main Authors: Junxiao Song, Huabo Liu
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2023-01-01
Series:Internet of Things and Cyber-Physical Systems
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2667345223000172
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author Junxiao Song
Huabo Liu
author_facet Junxiao Song
Huabo Liu
author_sort Junxiao Song
collection DOAJ
description The robust stability problem of spatially interconnected systems with signal saturation among the many composed subsystems is considered. The system structure is usually sparse, and each subsystem has different dynamics. Firstly, a robust stability condition is established based on integral quadratic constraint (IQC) theory, which makes full use of the sparseness of the subsystem connection topology. Secondly, a decoupling robust condition that only depends on the subsystem parameters is proved. Finally, it is shown through numerical simulations that the obtained conditions are computationally valid in analyzing spatially interconnected systems with signal saturation constraints among the subsystems.
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spelling doaj.art-772bfa32e8b24c3bba521cda71880b122023-08-17T04:28:04ZengKeAi Communications Co., Ltd.Internet of Things and Cyber-Physical Systems2667-34522023-01-0139399Stability analysis of spatially interconnected systems with signal saturationJunxiao Song0Huabo Liu1School of Automation, Qingdao University, Qingdao, 266071, China; Shandong Key Laboratory of Industrial Control Technology, Qingdao University, Qingdao, ChinaSchool of Automation, Qingdao University, Qingdao, 266071, China; Shandong Key Laboratory of Industrial Control Technology, Qingdao University, Qingdao, China; Corresponding author. School of Automation, Qingdao University, Qingdao, 266071, China.The robust stability problem of spatially interconnected systems with signal saturation among the many composed subsystems is considered. The system structure is usually sparse, and each subsystem has different dynamics. Firstly, a robust stability condition is established based on integral quadratic constraint (IQC) theory, which makes full use of the sparseness of the subsystem connection topology. Secondly, a decoupling robust condition that only depends on the subsystem parameters is proved. Finally, it is shown through numerical simulations that the obtained conditions are computationally valid in analyzing spatially interconnected systems with signal saturation constraints among the subsystems.http://www.sciencedirect.com/science/article/pii/S2667345223000172Spatially interconnected systemsSignal saturationIntegral quadratic constraintSparseness
spellingShingle Junxiao Song
Huabo Liu
Stability analysis of spatially interconnected systems with signal saturation
Internet of Things and Cyber-Physical Systems
Spatially interconnected systems
Signal saturation
Integral quadratic constraint
Sparseness
title Stability analysis of spatially interconnected systems with signal saturation
title_full Stability analysis of spatially interconnected systems with signal saturation
title_fullStr Stability analysis of spatially interconnected systems with signal saturation
title_full_unstemmed Stability analysis of spatially interconnected systems with signal saturation
title_short Stability analysis of spatially interconnected systems with signal saturation
title_sort stability analysis of spatially interconnected systems with signal saturation
topic Spatially interconnected systems
Signal saturation
Integral quadratic constraint
Sparseness
url http://www.sciencedirect.com/science/article/pii/S2667345223000172
work_keys_str_mv AT junxiaosong stabilityanalysisofspatiallyinterconnectedsystemswithsignalsaturation
AT huaboliu stabilityanalysisofspatiallyinterconnectedsystemswithsignalsaturation