一类不确定离散Markov跳变系统滑模状态反馈控制  

Sliding mode state feedback control of a class of uncertain discrete-time Markov jump systems

作　　者：黄凤芝[1] 井元伟[1] 

机构地区：[1]东北大学信息科学与工程学院,沈阳110819

出　　处：《控制与决策》2011年第10期1567-1570,1576,共5页Control and Decision

基　　金：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.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 simulation example shows the effectiveness of the state-feedback controller.

关 键 词：离散Markov跳变系统 滑模控制 不确定 随机稳定 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]