一种基于时滞区间不均分方法的变时延网络控制系统的新稳定性条件

doi:10.3969/j.issn.0372-2112.2016.01.009

电子学报 ›› 2016, Vol. 44 ›› Issue (1): 54-59.DOI: 10.3969/j.issn.0372-2112.2016.01.009

一种基于时滞区间不均分方法的变时延网络控制系统的新稳定性条件

张俊^1,2, 罗大庸¹, 孙妙平¹

1. 中南大学信息科学与工程学院, 湖南长沙 410075;
2. 湖南现代物流职业学院, 湖南长沙 410131

收稿日期:2015-04-03 修回日期:2015-07-29 出版日期:2016-01-25
- 作者简介:
- 张俊 女,1978年9月生于湖南吉首市,副教授,现为中南大学信息科学与工程学院博士生,主要从事网络控制技术、智能控制等方面的研究. E-mail:linecon78@163.com 罗大庸 男,1944年10月生于湖南长沙市,教授,博士生导师.1962年毕业于中南矿冶学院控制系,其后在中南大学任教,主要从事控制理论与控制工程,信息融合技术、综合自动化等方面的研究. E-mail:dyluo@mail.csu.edu.cn
- 基金资助:
- 国家青年科学基金 (No.61403425); 湖南省科技厅课题 (No.2013GK3137); 湖南省教育厅课题 (No.14C0814)

A New Stability Condition for Networked Control System with Time-Varying Delay Based on Time Delay Uneven-Partitioning Approach

ZHANG Jun^1,2, LUO Da-yong¹, SUN Miao-ping¹

1. School of Information Science and Engineering, Central South University, Changsha, Hunan 410075, China;
2. Hunan Modern Logistics Occupation Technical College, Changsha, Hunan 410131, China

Received:2015-04-03 Revised:2015-07-29 Online:2016-01-25 Published:2016-01-25
- Supported by:
- Youth Fund of National Natural Science Foundation of China (No.61403425); Program of Department of Science and Technology of Hunan Provicne (No.2013GK3137); Program of Education Department of Hunan Province (No.14C0814)

摘要/Abstract

摘要：

针对一种变时延线性网络控制系统,采用时滞区间不均分法,将时滞分割成m个区间.在每个区间都构建不同的Lyapunov-Krasovskii泛函,并引入三重积分项,同时结合自由权矩阵法,在各自的时滞区间上采用保守性小的积分不等式来处理泛函导数,进而获得了保证网络控制系统的一种新的稳定性条件.并且,最后通过相应的数值算例验证了本文中的结论.

关键词: 变时延, 网络控制系统, Lyapunov-Krasovskii泛函, 稳定性

Abstract:

Aimed to a type of networked control system with time-varying delay, it divided the time area into m sections unevenly.Then, it made each different Lyapunov-Krasovskii functional by taking triple integral and combined with free-weighting matrices, used less conservative integral inequality to tackle the derivative of Lyapunov-Krasovskii functional.Furthermore, it got a new stability condition for time-varying delay of networked control system.Finally, numerical example was given to prove the result in this paper.

Key words: time-varying delay, networked control system, Lyapunov-Krasovskii functional, stability

中图分类号:

TP13

张俊, 罗大庸, 孙妙平. 一种基于时滞区间不均分方法的变时延网络控制系统的新稳定性条件[J]. 电子学报, 2016, 44(1): 54-59.

ZHANG Jun, LUO Da-yong, SUN Miao-ping . A New Stability Condition for Networked Control System with Time-Varying Delay Based on Time Delay Uneven-Partitioning Approach[J]. Acta Electronica Sinica, 2016, 44(1): 54-59.

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一种基于时滞区间不均分方法的变时延网络控制系统的新稳定性条件

A New Stability Condition for Networked Control System with Time-Varying Delay Based on Time Delay Uneven-Partitioning Approach

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