Finite-Time Stabilization for a Class of Nonlinear Singular Systems

The finite-time stabilization problem for a class of nonlinear singular systems is studied. Under the assumption that the considered system is impulse controllable, a sufficient condition is provided for the design of a state feedback control law guaranteeing the finite-time stability of the closed-...

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Autores principales:	Jianxin Wang, Hecheng Wu, Xiaofu Ji, Xuehua Liu
Formato:	article
Lenguaje:	EN
Publicado:	IEEE 2020
Materias:	Nonlinear singular systems finite-time stability finite-time stabilization matrix inequality Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/d4fdff32ebf7436ab1a8ae7c4e11bd50
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spelling	oai:doaj.org-article:d4fdff32ebf7436ab1a8ae7c4e11bd502021-11-19T00:06:12ZFinite-Time Stabilization for a Class of Nonlinear Singular Systems2169-353610.1109/ACCESS.2020.3012168https://doaj.org/article/d4fdff32ebf7436ab1a8ae7c4e11bd502020-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9149890/https://doaj.org/toc/2169-3536The finite-time stabilization problem for a class of nonlinear singular systems is studied. Under the assumption that the considered system is impulse controllable, a sufficient condition is provided for the design of a state feedback control law guaranteeing the finite-time stability of the closed-loop system, and an explicit expression of the state feedback gain is also given. The proposed criterion is expressed in terms of strict matrix inequalities which is easy to be verified numerically. A numerical example is given to illustrate the effectiveness of the proposed method.Jianxin WangHecheng WuXiaofu JiXuehua LiuIEEEarticleNonlinear singular systemsfinite-time stabilityfinite-time stabilizationmatrix inequalityElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 8, Pp 138563-138568 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nonlinear singular systems finite-time stability finite-time stabilization matrix inequality Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Nonlinear singular systems finite-time stability finite-time stabilization matrix inequality Electrical engineering. Electronics. Nuclear engineering TK1-9971 Jianxin Wang Hecheng Wu Xiaofu Ji Xuehua Liu Finite-Time Stabilization for a Class of Nonlinear Singular Systems
description	The finite-time stabilization problem for a class of nonlinear singular systems is studied. Under the assumption that the considered system is impulse controllable, a sufficient condition is provided for the design of a state feedback control law guaranteeing the finite-time stability of the closed-loop system, and an explicit expression of the state feedback gain is also given. The proposed criterion is expressed in terms of strict matrix inequalities which is easy to be verified numerically. A numerical example is given to illustrate the effectiveness of the proposed method.
format	article
author	Jianxin Wang Hecheng Wu Xiaofu Ji Xuehua Liu
author_facet	Jianxin Wang Hecheng Wu Xiaofu Ji Xuehua Liu
author_sort	Jianxin Wang
title	Finite-Time Stabilization for a Class of Nonlinear Singular Systems
title_short	Finite-Time Stabilization for a Class of Nonlinear Singular Systems
title_full	Finite-Time Stabilization for a Class of Nonlinear Singular Systems
title_fullStr	Finite-Time Stabilization for a Class of Nonlinear Singular Systems
title_full_unstemmed	Finite-Time Stabilization for a Class of Nonlinear Singular Systems
title_sort	finite-time stabilization for a class of nonlinear singular systems
publisher	IEEE
publishDate	2020
url	https://doaj.org/article/d4fdff32ebf7436ab1a8ae7c4e11bd50
work_keys_str_mv	AT jianxinwang finitetimestabilizationforaclassofnonlinearsingularsystems AT hechengwu finitetimestabilizationforaclassofnonlinearsingularsystems AT xiaofuji finitetimestabilizationforaclassofnonlinearsingularsystems AT xuehualiu finitetimestabilizationforaclassofnonlinearsingularsystems
_version_	1718420638456086528

Finite-Time Stabilization for a Class of Nonlinear Singular Systems

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