一类基于观测器的短时延网络控制系统的建模和稳定性分析

广东工业大学学报 ›› 2010, Vol. 27 ›› Issue (4): 85-88.

一类基于观测器的短时延网络控制系统的建模和稳定性分析

广东工业大学应用数学学院，广东广州510006

出版日期:2010-12-25 发布日期:2010-12-25
作者简介:肖元(1987-)，女，硕士研究生，主要研究方向为微分动力系统

Modeling and Stabilization Analysis of Observer-based Networked Control Systems with Time-delay

Faculty of Applied Mathematics，Guangdong University of Technology，Guangzhou 510006，China

Online:2010-12-25 Published:2010-12-25

摘要/Abstract

摘要： 针对一类不确定的短时延网络控制系统，利用全阶状态观测器作为对网络诱导时延的补偿，定义了一个新的状态变量，得到了短时延网络控制系统的离散模型．根据Lyapunov稳定性理论和矩阵知识，给出该闭环系统渐近稳定的充分条件，并基于线性矩阵不等式的可行解给出了状态反馈控制律．仿真结果表明该方法有效可行．

关键词: 网络控制系统；不确定时延；线性矩阵不等式；全阶状态观测器；李亚普诺夫函数

Abstract: Considering a class of uncertain networked control systems with short time-delay，it proposes a discrete model，in which a full-order observer is utilized to compensate network-induced delay，by defining an augmented state vector，based on Lyapunov stability theory and matrix theory．Sufficient conditions for asymptotic stability of closed．1oop systems were derived，and the state~edback controller was obtained，based on the feasible solution of the linear matrix inequalities(LMI)．The simulation results verify the validity of the proposed method．

Key words: networked control systems；uncertain time—delay；linear matrix inequalities；full—order observer of the state；Lyapunov function

肖元, 金朝永. 一类基于观测器的短时延网络控制系统的建模和稳定性分析[J]. 广东工业大学学报, 2010, 27(4): 85-88.

XIAO Yuan, JIN Chao-Yong. Modeling and Stabilization Analysis of Observer-based Networked Control Systems with Time-delay[J]. Journal of Guangdong University of Technology, 2010, 27(4): 85-88.

参考文献

[1]Zhang Yong，Tang Gong-You，Hu Nai-Ping．Non-f-ragile control for nonlinear networked control systems with long time-delay[J]．Computers and Mathematics with Applica-tions，2009，57：1630-1637．

[2]Chen Zai-ping，Li Liang，Zhang Jiang-feng．Observer Based networked control systems with the network—induced time delay[C]／／2004IEEE international conference on systems man and Cybernetics 7，2004：3333．3337．

[3]Li Jiang-guo，Yuan Jing-qi，Lu Jun-guo．Obse~er-based control for networked nonlinear systems with random packet loses f J f．ISA Transactions．

[4]谢成祥，樊卫华，胡维丰L．一类短时延网络控制系统的建模和控制方法[J]．南京理工大学学报，2009，4(33)：156-160．

[5]王珍珍，崔宝同．具有不确定性的网络控制系统控制器设计[C]／／2007年中国控制与决策学术年会论文集，2007：719-721．

[6]郭晓军，袁阳．不确定时延网络控制系统的建模和稳定性研究[J]．湖南工业大学学报，2008，9(22)：65-69．

[7]张喜民，李建东，张建国．网络控制系统的鲁棒保性能控制[J]．西安电子科技大学学报：自然科学版，2008，35(1)：96-100．

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