| 基于隐马尔可夫的网络控制系统稳定性分析 |
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| 引用本文： | 葛愿,陈其工,江明,刘振安.基于隐马尔可夫的网络控制系统稳定性分析[J].仪器仪表学报,2008,29(2):273-278. |
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| 作者姓名： | 葛愿 陈其工 江明 刘振安 |
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| 作者单位： | 1. 安徽省电气传动与控制重点实验室,芜湖,241000
2. 中国科学技术大学自动化系,合肥,230027 |
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| 基金项目： | 安徽教育部自然科学基金 |
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| 摘 要： | 讨论了一类具有随机通信时延的网络控制系统的建模及稳定性分析,其中网络诱导时延受控于一概率分布未知的马尔可夫链,其概率分布可通过Baum-Welch算法计算.基于隐马尔町夫模型理论,将采用状态反馈的闭环网络控制系统建模成跳变线性系统,给出了这类网络控制系统随机稳定的允分条件,并将状态反馈控制器的求解问题转化为线性矩阵不等式的解的问题.最后,通过一个仿真算例说明了上述判定系统稳定性条件的有效性.
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| 关 键 词： | 网络控制系统 时延 隐乌尔可夫模型 随机稳定性 networked control system time delay hidden Markov model stochastic stability 隐马尔可夫 网络 控制系统稳定性 分析 hidden Markov models based networked control systems analysis numerical example show efficiency feasibility approach LMIs sufficient conditions existence stabilizing controller established linear matrix inequalities |
| 收稿时间： | 2007-02 |
| 修稿时间： | 2007年2月1日 |
Stability analysis of networked control systems based on hidden Markov models |
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| Ge Yuan,Chen Qigong,Jiang Ming,Liu Zhen'an.Stability analysis of networked control systems based on hidden Markov models[J].Chinese Journal of Scientific Instrument,2008,29(2):273-278. |
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| Authors: | Ge Yuan Chen Qigong Jiang Ming Liu Zhen'an |
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| Abstract: | The modeling and stability analysis for a kind of networked control systems (NCSs) with random commu-nication delays are discussed. The network-induced delays are considered to be governed by an underlying Markov chain with unknown probability distribution, which can be calculated by using Baum-Welch algorithm. Based on hidden Markov model (HMM) theory, the resulting closed-loop systems are jump linear systems, and the sufficient conditions on the existence of the stabilizing controller are established by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to show the efficiency and feasibility of our proposed approach. |
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| Keywords: | networked control system time delay hidden Markov model stochastic stability |
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