转移概率部分未知的不确定Markov跳变系统的鲁棒镇定  

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

作　　者：钟向楠[1] 王占山[1] 张化光[1] 

机构地区：[1]东北大学信息科学与工程学院,沈阳110004

出　　处：《吉林大学学报（工学版）》2012年第6期1558-1562,共5页Journal of Jilin University:Engineering and Technology Edition

基　　金：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)

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。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.

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 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]