离散时间Markov跳变系统动态输出反馈有限时间H∞控制  

Dynamic output feedback finite-timeH1 control for discrete-time Markov jump system

作　　者：李艳恺 陈晨 刘丁[1,2,3] 穆凌霞[1,2,3] 黄伟超 LI Yan-kai;CHEN Chen;LIU Ding;MU Ling-xia;HUANG Wei-chao(School of Automation and Information Engineering,Xi’an University of Technology,Xi’an 710048,China;National&Local Joint Engineering Research Center of Crystal Growth Equipment and System Integration,Xi’an University of Technology,Xi’an 710048,China;Key Laboratory of Shaanxi Province for Complex System Control and Intelligent Information Processing,Xi’an University of Technology,Xi’an 710048,China)

机构地区：[1]西安理工大学自动化与信息工程学院,西安710048 [2]西安理工大学晶体生长设备及系统集成国家地方联合工程研究中心,西安710048 [3]西安理工大学陕西省复杂系统控制与智能信息处理重点实验室,西安710048

出　　处：《控制与决策》2025年第2期617-625,共9页Control and Decision

基　　金：国家自然科学基金项目(62127809,62473310,62103327);中国博士后科学基金项目(2021MD703879,2022T150524);陕西省科技厅重点研发计划项目(2024GX-YBXM-298)。

摘　　要：研究基于动态输出反馈的离散Markov跳变系统有限时间H∞控制问题.针对实际系统中状态不可测和存在外界扰动的情况,提出动态输出反馈控制策略,同时基于有限时间H∞控制理论和Markov跳变系统理论,分析闭环系统的稳定性并利用线性矩阵不等式(LMI)技术获取可行的充分条件.所提方法给出了较为宽松的矩阵不等式解耦方案,具有较大的适用范围.最后,通过数值案例验证所提控制方案的有效性.This paper mainly studies the finite-time H1 control problem of a discrete-time Markov jump system based on dynamic output feedback.In view of the unmeasurable state and external disturbance in the actual system,a dynamic output feedback control strategy is proposed.At the same time,based on the finite-time H1 control theory and Markov jump system theory,the stability of the closed-loop system is analyzed and the feasible sufficient conditions are obtained by using linear matrix inequality(LMI)technology.The proposed method gives a more relaxed matrix inequality decoupling scheme,which has a larger scope of application.Finally,the effectiveness of the proposed control scheme is verified by numerical examples.

关 键 词：离散时间Markov跳变系统 有限时间稳定 动态输出反馈控制 线性矩阵不等式技术 H_∞控制 

分 类 号：O231[理学—运筹学与控制论]