[1]孙敏慧,等.随机马尔可夫跳跃系统的输出反馈镇定[J].南京理工大学学报(自然科学版),2007,(03):270-273.
 SUN Min-hui,XU Sheng-yuan,ZOU Yun.Output Feedback Stabilization for Stochastic Markov Jump Systems[J].Journal of Nanjing University of Science and Technology,2007,(03):270-273.
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随机马尔可夫跳跃系统的输出反馈镇定
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2007年03期
页码:
270-273
栏目:
出版日期:
2007-06-30

文章信息/Info

Title:
Output Feedback Stabilization for Stochastic Markov Jump Systems
作者:
孙敏慧1 2 徐胜元1 邹 云1
1. 南京理工大学自动化学院, 江苏南京210094; 2. 中国海洋大学数学系, 山东青岛266071
Author(s):
SUN Min-hui12XU Sheng-yuan1ZOU Yun1
1.School of Automation,NUST,Nanjing 210094,China;2.Department of Mathematics,Ocean University of China,Qingdao 266071,China
关键词:
随机系统 线性矩阵不等式 鲁棒稳定 马尔可夫过程 输出反馈
Keywords:
stochastic systems linearmatrix inequalities robust stability M arkov process outpu t feedback
分类号:
TP13
摘要:
针对不确定随机马尔可夫跳跃系统,研究其静态输出反馈控制问题。目的在于寻找输出反馈控制器使得闭环系统均方稳定。通过Lyapunov函数方法以矩阵不等式形式建立了这类系统输出反馈可镇定的充分条件;采用替换LMI(linear matrix inequality)方法给出了这些非线性矩阵不等式的一种解法,并给出了静态反馈控制律的求解算法。仿真算例说明所给方法的有效性。
Abstract:
Th is paper investigates the prob lem s of static output feedback con tro l for uncertain stochasticM arkov jump systems. Th is paper designs a stat ic output feedback controller so that the closed-loop system is mean-square stable for all adm issible uncertainties. Sufficient cond itions are obta ined to guaran tee that the involved system has robust stabilization in terms ofmatrix inequa lities. The substitutive LM Imethod is adopted to solve thesematrix inequa lities. A possible numerica l algorithm is proposed to design the correspond ing output feedback contro ller. A num erical example is g iven to illustrate the effectiveness o f the g iven method.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 60304001; 60574015)
作者简介: 孙敏慧( 1980- ) , 女, 山东青岛人, 讲师, 博士, 主要研究方向: 鲁棒控制, 时滞系统, 随机系统等; Email:sun_m inhui@ yahoo. com. cn。
更新日期/Last Update: 2007-06-30