Decentralized control for large-scale interconnected nonlinear systems based on barrier Lyapunov function
type: Item
instance of: scholarly article
title: Decentralized control for large-scale interconnected nonlinear systems based on barrier Lyapunov function
zbMATH Open document ID: 1394.93095
DOI: 10.1155/2015/494721
author: Tao Guo
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We present a novel decentralized tracking control scheme for a class of large-scale nonlinear systems with partial state constraints. For the first time, backstepping design with the newly proposed BLF is incorporated to effectively deal with the control problem of nonlinear systems with interconnected constraints. To prevent the states of each subsystem from violating the constraints, we employ a special barrier Lyapunov function (BLF), which grows to infinity whenever its argument approaches some finite limits. By ensuring boundedness of the barrier Lyapunov function in the closed loop, we ensure that those limits are not transgressed. Asymptotic tracking is achieved without violation of the constraints, and all closed-loop signals remain bounded. In the end, an illustrative example is presented to demonstrate the performance of the proposed control.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 6926492
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/494721
OpenAlex ID: W1893492366
Wikidata QID: Q59118755
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description: scientific article; zbMATH DE number 6926492