广义Markov跳变系统在一般转移率下的鲁棒无源控制  

Passive Control for Descriptor Markov Jump Systems with Generally Uncertain Transition Rates

作　　者：李秀英 牛冬平 LI Xiu-ying;NIU Dong-ping(College of Mathematics,Tonghua Normal University,Tonghua 134002,China;No.1 Middle School in Zhenlai,Zhenlai 137300,China)

机构地区：[1]通化师范学院数学学院,吉林通化134002 [2]镇赉县第一中学

出　　处：《通化师范学院学报》2021年第10期40-44,共5页Journal of Tonghua Normal University

基　　金：吉林省教育厅科研项目(吉教科验字[2012]30号).

摘　　要：研究一类转移率具有不确定性且部分未知的随机广义Markov跳变系统的鲁棒无源控制问题.通过构造Lyapunov函数,运用自由权矩阵的方法给出了该系统随机容许且无源的充分条件,进而设计状态反馈无源控制器,使闭环系统是随机容许且无源的.控制器可通过求解相应的线性矩阵不等式得到.This paper investigates the problem of the passive control for a class of stochastic descriptor Markov jump systems with generally uncertain transition rates,which are uncertain and partially unknown.Sufficient conditions for descriptor Markov jump systems to be stochastically admissible and strictly passive are presented by the method of employing the Lyapunov function and free-weighing matrices.Also,the proposed state feedback controller is designed by means of linear matrix inequalities(LMIs),which can be derived by solving LMIs.

关 键 词：广义Markov跳变系统 无源控制 不确定转移率 转移率部分未知 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]