中立型不确定变时滞系统的一个时滞相关鲁棒稳定性判据

山东大学学报(工学版)

中立型不确定变时滞系统的一个时滞相关鲁棒稳定性判据

王岩青^1,2,钱承山²,姜长生²

1. 解放军理工大学理学院, 江苏南京 211101;2. 南京航空航天大学自动化学院, 江苏南京 210016

收稿日期:2007-08-31 修回日期:1900-01-01 出版日期:2008-02-16 发布日期:2008-02-16
通讯作者: 王岩青

A delay-dependent robust stability criterion for uncertainneutral systems with time-varying delay

WANG Yan-qing^{1, 2}, QIAN Cheng-shan², JIANG Chang-sheng²

1. Institute of Sciences, PLA University of Science ＆ Technology, Nanjing 211101, China;2. Automation College, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2007-08-31 Revised:1900-01-01 Online:2008-02-16 Published:2008-02-16
Contact: WANG Yan-qing

摘要/Abstract

摘要： 讨论了具有时变时滞的不确定中立型系统的鲁棒稳定性问题.在Lyapunov-Krasovskii泛函方法的基础上,通过引入一些能够减少保守性的自由权矩阵,得到了中立型不确定变时滞系统的一个时滞相关的鲁棒稳定性判据,并利用线性矩阵不等式(LMI)的形式给出该判据.与已有文献相比较,所得结论突破了时滞导数(t)＜1的限制,并具有较弱的保守性.最后,通过一个例子验证了所给结论的正确性.

Abstract: The delay-dependent robust stability for uncertain neutral systems with time-varying delay was studied. Based on the LyapunovKrasovskii functional approach, delaydependent robust stability conditions were proposed for neutral type uncertain systems with time-varying delay by introducing some relaxation matrices that can reduce the conservation of the criteria. The conclusion was presented in terms of linear matrix inequality (LMI), which allows the delay-derivative (t)≥1 and is less conservative than the existing results.Finally, a numerical example was given to illustrate the correctness of the obtained results.

Key words: delaydependent, neutral system, linear matrix inequality (LMI) , time-varying delay

中图分类号:

TP273

王岩青,钱承山,姜长生 . 中立型不确定变时滞系统的一个时滞相关鲁棒稳定性判据[J]. 山东大学学报(工学版), 2008, 38(1): 116-120 .

WANG Yan-qing,QIAN Cheng-shan,JIANG Chang-sheng . A delay-dependent robust stability criterion for uncertainneutral systems with time-varying delay[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(1): 116-120 .

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