H<inf>&infin;</inf> control for a class of non-linear discrete-time networked systems with limited information

doi:10.1093/imamci/dnw038

兰州大学机构库 >管理学院

	H∞ control for a class of non-linear discrete-time networked systems with limited information
	Wang, Yanqian 1; Zhang, Shuyu 2
	2017
Source Publication	IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
ISSN	0265-0754
Volume	34 Issue:4 Pages:1411-1429
Abstract	In this article, the problems of stabilization and H∞ control are investigated for a class of non-linear networked systems with packet dropouts, network-induced delays and sensor faults. We construct a novel model by taking packet dropouts, distributed delays and sensor faults into account in a unified way. The packet dropouts process is modelled as a Markov chain taking values in a finite state space. Network-induced delays with distributed characteristics are divided into two intervals satisfying the Bernoulli random distribution. Sensor faults are described as stochastic variables and each sensor has different fault rate and independent of others. The resulting closed-loop system is converted into a Markov switching system. A mode-dependent controller is designed such that the closed-loop system is stochastically stable and satisfies H∞ disturbance attenuation level in terms of certain linear matrix inequalities. Finally, a numerical example is given to illustrate the usefulness of the developed method in this article. © The authors 2016. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Keyword	non-linear networked systems H-infinity control Markov switching system distributed delays cone complementarity linearization linear matrix inequalities
Subject Area	Automation & Control Systems ; Mathematics
Publisher	OXFORD UNIV PRESS
DOI	10.1093/imamci/dnw038
Publication Place	OXFORD
Indexed By	EI ; SCIE
Language	英语
First Inst	否
Funding Project	国家自然科学基金项目
Project Number	National Natural Science Foundation of China [61203048, 61374086, 61374153]
WOS ID	WOS:000418200800018
Funding Organization	NSFC
EI Accession Number	20180204625364
Subtype	Article
EI Keywords	Closed loop systems ; Discrete time control systems ; Linear matrix inequalities ; Linear networks ; Markov processes ; Numerical methods ; Packet loss ; Robustness (control systems) ; Stochastic systems ; Switching systems
EI Classification Number	Electric Networks:703.1 ; Control Systems:731.1 ; Algebra:921.1 ; Numerical Methods:921.6 ; Probability Theory:922.1 ; Systems Science:961
Original Document Type	Journal article (JA)
Citation statistics	Cited Times:1[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	https://ir.lzu.edu.cn/handle/262010/198111
Collection	管理学院
Corresponding Author	Wang, Yanqian
Affiliation	1.School of Information and Electronic Engineering, Shandong Institute of Business and Technology, 191 BinHai Road, Yantai, Shandong; 264005, China 2.School of Management, Lanzhou University, 222, TianShui South Road, Lanzhou, Gansu; 730000, China
Recommended Citation GB/T 7714	Wang, Yanqian,Zhang, Shuyu. H∞ control for a class of non-linear discrete-time networked systems with limited information[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION,2017,34(4):1411-1429.
APA	Wang, Yanqian,&Zhang, Shuyu.(2017).H∞ control for a class of non-linear discrete-time networked systems with limited information.IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION,34(4),1411-1429.
MLA	Wang, Yanqian,et al."H∞ control for a class of non-linear discrete-time networked systems with limited information".IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 34.4(2017):1411-1429.

Files in This Item:
There are no files associated with this item.

If you have any objections to this item, please fill out the form below and the administrator will contact you as soon as possible.
Content:
Email：	*
Institution:
Verification Code:	Refresh

Any comments and suggestions are welcomed.
Title:	*
Content:
Email：	*
Verification Code:	Refresh

管理学院知识库