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一类不确定离散Markov 跳变系统滑模状态反馈控制
引用本文:黄凤芝,井元伟.一类不确定离散Markov 跳变系统滑模状态反馈控制[J].控制与决策,2011,26(10):1567-1570.
作者姓名:黄凤芝  井元伟
作者单位:东北大学信息科学与工程学院,沈阳,110819
基金项目:国家自然科学基金项目(60274009); 国家高技术研究发展计划项目(2010AA101702)
摘    要:针对具有不确定的离散Markov跳变系统,研究其滑模状态反馈控制问题.考虑系统的不确定满足匹配条件,以线性矩阵不等式形式给出了离散滑模面存在的充分条件,设计了具有指数趋近律的滑模控制器,保证了系统状态到达滑模面并在滑模带上随机镇定.数值仿真验证了所提出的控制方案的有效性.

关 键 词:离散Markov跳变系统  滑模控制  不确定  随机稳定
收稿时间:2010/8/3 0:00:00
修稿时间:2011/1/18 0:00:00

Sliding mode state feedback control of a class of uncertain discrete-time
Markov jump systems
HUANG Feng-zhi,JING Yuan-wei.Sliding mode state feedback control of a class of uncertain discrete-time
Markov jump systems[J].Control and Decision,2011,26(10):1567-1570.
Authors:HUANG Feng-zhi  JING Yuan-wei
Affiliation:HUANG Feng-zhi,JING Yuan-wei(College of Information Science and Engineering,Northeastern University,Shenyang 110819,China)
Abstract:This paper considers the problem of state feedback sliding mode control for a class of discrete-time Markov jump systems.The uncertainty of the system is considered as a function of the system inputs,states and time,which satisfies the matched condition.A sufficient condition is provided to guarantee the existence of the discrete-time sliding modes in times of LMI.A sliding mode control law is designed to make the system states reach to the designed sliding mode and keep on stochastically stable.A simulatio...
Keywords:discrete-time Markov jump systems  sliding mode control  uncertain  stochastically stable  
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