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具有随机时延的线性网络系统稳定性分析
引用本文:李建国,陆丽,潘三博,蒋赢.具有随机时延的线性网络系统稳定性分析[J].上海电机学院学报,2014(3):137-143.
作者姓名:李建国  陆丽  潘三博  蒋赢
作者单位:上海电机学院电气学院,上海200240
基金项目:国家自然科学基金项目资助(U1204515); 上海市高校青年教师培养计划项目资助(ZZSDJ12002); 上海电机学院科研启动经费项目资助(11C413)
摘    要:分析一类双向通道同时存在随机时延的线性网络控制系统(NCS)均方指数稳定问题,随机时延用Bernoulli分布描述。根据Lyapunov稳定性原理构建一个二次形函数,并以此分析闭环系统稳定的充分性判据,给出了基于线性矩阵不等式的控制器解法。最后,给出一个仿真算例对提出方法的有效性进行了验证。

关 键 词:随机时延  网络控制系统  线性矩阵不等式

Stability Analysis of Networked Linear Systems with Random Communication Delays
LI Jianguo,LULi,PAN Sanbo,JIANG Ying.Stability Analysis of Networked Linear Systems with Random Communication Delays[J].JOurnal of Shanghai Dianji University,2014(3):137-143.
Authors:LI Jianguo  LULi  PAN Sanbo  JIANG Ying
Affiliation:(School of Electric Engineering, Shanghai Dianji University, Shanghai 200240, China)
Abstract:This paper analyzes stability of networked linear systems( NCS) with random communication delays in bidirectional communication channels. The random communication delay is modeled as a Bernoulli random binary distribution. Sufficient conditions for a closed-loop networked linear system are globally exponentially stable according to the Lyapunov stability theory. The observer-based controller can easily be solved with linear matrix inequality( LMI) solvers. Effectiveness of the proposed method is verified with a numerical example.
Keywords:random communication delay  networked control system(NCS)  linear matrix inequality(LMI)
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