[1]袁月华,田恩刚.网络环境下基于驻留概率信息的切换系统H∞反馈控制[J].南京师范大学学报(工程技术版),2014,14(01):057-62.
　Yuan Yuehua,Tian Engang.H∞ Feedback Control for Switched Systems with Network by Using Sojourn-Probability-Dependent Method[J].Journal of Nanjing Normal University(Engineering and Technology),2014,14(01):057-62.
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网络环境下基于驻留概率信息的切换系统H∞反馈控制
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
14卷
期数:
2014年01期
页码:
057-62
栏目:
出版日期:
2014-03-31

文章信息/Info

Title:
H ∞ Feedback Control for Switched Systems with Network by Using Sojourn-Probability-Dependent Method
作者:
袁月华; 田恩刚
南京师范大学电气与自动化工程学院,江苏 南京 210042
Author(s):
Yuan Yuehua; Tian Engang
School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210042,China
关键词:
切换系统; 驻留概率; Lyapunov泛函; H∞反馈控制
Keywords:
switched systems; sojourn probability; lyapunov functional; H∞ feedback control
分类号:
TP273
文献标志码:
A
摘要:
通过驻留概率信息的方法,研究了一类在网络环境下具有时变延迟的离散切换系统的H∞反馈控制问题.通过利用切换系统在每个子系统的驻留概率信息,将网络环境下的网络控制系统模型建模为一种新的切换系统模型.通过Lyapunov泛函方法,给出切换系统的H∞均方稳定的充分条件.然后,利用锥补线性化的方法得到控制器增益.最后,通过仿真算例验证所用方法的有效性.
Abstract:
In this paper,a sojourn-probability-dependent method is proposed to investigate H∞ control for discrete switched systems with network time-varying delays.A new type of switched system model is built by using the sojourn probability information.The sufficient condition of H∞ feedback mean square stability is given via Lyapunov functional method.Then robust controller feedback gains are derived by using cone complement linearization method.A numerical example is given to demonstrate the effectiveness.

参考文献/References:

[1] 付主木,邱联奎,高爱云,等.切换时滞线性系统的状态反馈H∞控制[J].计算机工程,2008,34(15):13-15.
Fu Zhumu,Qiu Liankui,Gao Aiyun,et al.State feedback H∞ control for switched linear systems with delay[J].Computer Engineering,2008,34(15):13-15.(in Chinese)
[2]Zhang Hui,Liu Yuzhong,Liu Lei.Stabilization of switched linear systems with multiple time-delays[C]//21st Chinese Control and Decision Conference.Guilin:CCDC Press,2009:4 583-4 587.
[3]Lennartson B,Tittus M,Egardt B.Hybrid systems in process control[J].IEEE Control Systems Magazine,1996,16(5):45-56.
[4]Varaiya P.Smart cars on smart roads:problems of control[J].IEEE Transactions on Automatic Control,1993,38(2):195-207.
[5]Hiskens I.Stability of hybrid systems limit cycles:Application to the compass gait biped robot[C]//Proceedings of the 40th IEEE Conference on Decision and Control.Orlando:Decision and Control Press,2001:774-779.
[6]Azadegan M,Beheshti M,Tavassoli B.Robust output feedback control of networked control systems with random delay modeled by Markov chain[C]//20th Iranian Conference on Electrical Engineering.Tehran:ICEE Press,2012:587-592.
[7]Huang D,Nguang S.State feedback control of uncertain networked control systems with random time delays[J].IEEE Transactions on Automatic Control,2008,53(3):829-834.
[8]Shi Y,Yu B.Output feedback stabilization of networked control systems with random delays modeled by Markov chains[J].IEEE Transactions on Automatic Control,2009,54(7):1 668-1 674.
[9]Xiao L,Hassibi A,How J.Control with random communication delays via a discrete-time jump system approach[J].American Control Conference,2000(3):2 199-2 204.
[10]Tian E,Yue D.A newstate feedback H∞ control of networked control systems with time-varying network conditions[J].Journal of the Franklin Institute,2012,349:891-914.
[11]Petersen I.A stabilization algorithm for a class of uncertain linear systems[J].Systems and Control Letters,1987,8(4):351-357.
[12]Ghaoui L E,Oustry F,Aitrami M.A cone complementarity linearization algorithm for static output-feedback and related problems[J].IEEE Transactions on Automatic Control,1997,42(8):1 171-1 176.

备注/Memo

备注/Memo:
收稿日期:2013-06-28.
基金项目:国家自然科学基金(61273115)、江苏省自然科学基金(BK2012847).
通讯联系人:田恩刚,博士,副教授,研究方向:网络控制系统、关联系统、模糊控制等.E-mail:teg@njnu.edu.cn
更新日期/Last Update: 2014-03-31