模式依赖分布式时滞不确定马尔可夫跳变系统的鲁棒H_∞控制  

Robust H_∞ Control for Uncertain Markovian Jump Systems with Mode-dependent Distributed Delays

作　　者：赵环宇[1] 徐胜元[1] 沈浩[1] 宋晓娜[1] 

机构地区：[1]南京理工大学自动化学院,江苏南京210094

出　　处：《南京理工大学学报》2009年第3期282-287,共6页Journal of Nanjing University of Science and Technology

基　　金：教育部高等学校博士点专项科研基金(20060288021)

摘　　要：考虑一类具有马尔可夫(Markov)跳变参数和模式依赖分布式时滞的不确定性系统的鲁棒H∞输出反馈控制问题。系统状态方程和量测方程中均有分布式模式依赖时滞项,模式为取值于有限集的Markov过程。采用线性矩阵不等式方法得到了使闭环系统鲁棒随机稳定且满足给定H∞性能指标的充分条件,并得到输出反馈控制器存在的充分条件。通过求解线性矩阵不等式,并利用锥补线性化算法得到控制器参数。数值算例说明了该文方法的有效性。This paper deals with the problem of robust H∞ output feedback control for uncertain systems with Markovian jumping parameters and mode-dependent distributed delays. The distributed delay appears in both the state and measurement equations, and the time delay is dependent on the mode which is a Markov process taking values in a finite set. Based on linear matrix inequality （LMI） approach, a sufficient condition is obtained which guarantees the closed-loop system to be robustly stochastically stable and satisfies a prescribed H∞ performance level. A sufficient condition for the existence of the output feedback controller is proposed. The controller parameters are obtained by solving LMI and applying cone complementarity linearization algorithm （CCL）. A numerical example is presented to illustrate the effectiveness of the proposed methods.

关 键 词：马尔可夫过程 鲁棒控制 H∞控制 输出反馈 线性矩阵不等式 分布式时滞 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]