半Markov跳变系统的有限时间耗散控制  

Finite-time dissipative control for semi-Markovian jump systems

作　　者：李秀英 姜囡 LI Xiu-ying;JIANG Nan(School of Mathematics,Tonghua Normal University,Tonghua 134002,China;Department of Audio Visual and Image Technology,Criminal Investigation Police University of China,Shenyang 110854,China)

机构地区：[1]通化师范学院数学学院,吉林通化134002 [2]中国刑事警察学院声像资料检验技术系,辽宁沈阳110854

出　　处：《东北师大学报(自然科学版)》2023年第4期46-51,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金青年基金资助项目(61304021);吉林省教育厅科学技术研究项目(JJKH20210539KJ).

摘　　要：研究了半Markov跳变系统的有限时间耗散性分析与控制问题.利用线性矩阵不等式,分析了半Markov跳变系统有限时间有界的条件,并在此基础上给出了该系统有限时间有界且严格耗散的充分条件.设计了状态反馈控制器,使闭环系统有限时间有界且严格耗散.通过数值算例验证了所提出方法的有效性.The problem of finite-time dissipative analysis and design is presented for semi-Markovian jump systems.By employing linear matrix inequality,a sufficient condition for that the semi-Markovian jump system is finite-time bounded is proposed,then based on the result,sufficient condition is derived to guarantee finite-time boundedness and strictly dissipativeness for semi-Markovian jump system.Furthermore,the design method of a state feedback controller is provided to ensure that the resultant closed-loop system is finite-time bounded and strictly dissipative.Finally,a numerical example is given to show the effectiveness of the proposed method.

关 键 词：半Markov跳变系统 有限时间有界 严格耗散 线性矩阵不等式 

分 类 号：O23[理学—运筹学与控制论] TP13[理学—数学]