转移概率部分未知的不确定Markov跳变系统的鲁棒镇定

›› 2012, Vol. ›› Issue (06): 1558-1562.

转移概率部分未知的不确定Markov跳变系统的鲁棒镇定

钟向楠, 王占山, 张化光

东北大学信息科学与工程学院, 沈阳 110004

收稿日期:2011-09-13 出版日期:2012-11-01
通讯作者: 王占山(1971-),男,教授,博士生导师.研究方向:神经网络理论,故障诊断理论.E-mail:zhanshan_wang@163.com E-mail:zhanshan_wang@163.com
基金资助:
国家自然科学基金项目(61074073,61034005);新世纪优秀人才支持计划项目(NCET-10-0306).

Robust stabilization of a class of uncertain Markov jump linear systems with partly unknown transition probabilities

ZHONG Xiang-nan, WANG Zhan-shan, ZHANG Hua-guang

School of Information Science & Engineering, Northeastern University, Shenyang 110004, China

Received:2011-09-13 Online:2012-11-01

摘要/Abstract

摘要： 本文研究的系统的转移概率中存在部分未知元素,通过充分考虑转移概率中元素之间的特性,得到了保证相应系统鲁棒指数可镇定的充分性条件,并以一组线性矩阵不等式给出。另外,本文提出的方法不需要知道转移概率中未知元素的任何信息,使结果具有更广的适用范围。仿真实例验证了文中方法的有效性。

关键词: 自动控制技术, 连续Markov跳变线性系统, 转移概率部分未知, 不确定参数, 鲁棒指数镇定, 线性矩阵不等式

Abstract: The robust stabilization problem of a class of continuous-time uncertain Markov jump linear systems with partial unknown transition probabilities was investigated. In contrast with existing literature, in this study, a new system is propose, in which not all elements of the transition probabilities were assumed to be known. By fully considering the properties of the relationship between the transition probabilities, the sufficient conditions for robust exponential stabilization of the underlying systems were derived via linear matrix inequality formulation. Moreover, the proposed concept of partial unknown transition probabilities does not require any acknowledge of the unknown elements, thus, the results obtained by the system have a wide range of applications. Numerical examples illustrate the feasibility of the proposed system.

Key words: automatic cont rol technology, continuous-time Markov jump linear systems, partly unknown transition probabilities, uncertain parameters, robust exponential stabilization, linear matrix inequality

中图分类号:

TP273

钟向楠, 王占山, 张化光. 转移概率部分未知的不确定Markov跳变系统的鲁棒镇定[J]. , 2012, (06): 1558-1562.

ZHONG Xiang-nan, WANG Zhan-shan, ZHANG Hua-guang. Robust stabilization of a class of uncertain Markov jump linear systems with partly unknown transition probabilities[J]. , 2012, (06): 1558-1562.

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