基于切换频度的马尔科夫网络控制系统均方指数镇定

宋杨; 董豪; 费敏锐

doi:10.3724/SP.J.1004.2012.00876

基于切换频度的马尔科夫网络控制系统均方指数镇定

doi: 10.3724/SP.J.1004.2012.00876

宋杨^1,2,,
董豪¹,
费敏锐^1,2

1.
上海大学机电工程与自动化学院上海 200072;
2.
上海市电站自动化技术重点实验室上海 200072

详细信息

通讯作者:
宋杨, 上海大学机电工程与自动化学院副研究员. 主要研究方向为切换系统, 网络控制理论与应用.

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- 被引次数: 0
出版历程
- 收稿日期: 2011-07-21
- 修回日期: 2011-12-11
- 刊出日期: 2012-05-20

Mean Square Exponential Stabilization of Markov Networked Control Systems Based on Switching Frequentness

SONG Yang^{1,2
,},
DONG Hao¹,
FEI Min-Rui^1,2

1.
School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072;
2.
Shanghai Key Laboratory of Power Station Automation Technology, Shanghai 200072

摘要

摘要: 针对一类马尔科夫网络控制系统(Networked control system, NCS),研究了其均方指数镇定问题. 首先将网络控制系统建模为离散时间切换系统,子系统间的切换过程由一个转移概率矩阵已知的马尔科夫链描述, 并给出了子系统间切换频度的范围;进而基于随机过程理论和切换系统稳定性理论, 利用状态反馈实现了网络控制系统均方指数镇定,状态反馈控制律可通过求解一组线性矩阵不等式获得. 最后通过数值仿真例子验证了本文方法的有效性.
- 网络控制系统 /
- 均方指数镇定 /
- 数据包丢失 /
- 马尔科夫链
Abstract: This paper considers the mean square exponential stabilization for networked control systems (NCSs) based on a class of Markov models. Firstly, networked control systems are modeled as a discrete-time switched system of which the switching sequence is governed by a Markov chain with known transition probability matrix, and then a method is proposed to calculate switching frequentness. By combining the stochastic process theory as well as the switched systems stability theory, a mean square exponential stabilization method is presented. The state feedback control law can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed result.
- Networked control systems (NCSs) /
- mean square exponential stabilization /
- data packet dropout /
- Markov chain

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参考文献(1)

[1]

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