广东工业大学学报 ›› 2011, Vol. 28 ›› Issue (1): 73-77.

• 综合研究 • 上一篇    下一篇

一类具有时延和数据包丢失的网络非线性控制系统

  

  1. 广东工业大学 应用数学学院,广东 广州 510006
  • 出版日期:2011-12-25 发布日期:2011-12-25
  • 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.

A Class of Nonlinear Networked Control Systems with Both Time-delay and Packet-dropout

  1. Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2011-12-25 Published:2011-12-25

摘要: 考虑了一类同时具有网络诱导时延和数据包丢失的网络非线性控制系统的稳定性问题.把数据包丢失看成一种特殊的网络时延,利用全阶状态观测器作为对时延和数据包丢失的补偿,定义一个新的状态变量,得到了具有时延和数据包丢失的网络非线性控制系统的模型.通过构造李雅普诺夫函数,利用线性矩阵不等式的知识,给出了此类系统渐近稳定的充分条件,设计了状态反馈控制器.最后通过一种数值算例证明了这种方法的有效性.

关键词: 网络非线性控制系统;时延;数据包丢失;全阶线性状态观测器;李雅普诺夫方程

Abstract: The problem with the stabilization of a class of nonlinear networked control systems with both time-delay and pocket-dropout is researched.A model,in which a pocket-dropout is considered as a special kind of network-induced delay and a fullorder linear observer is utilized to compensate both networkinduced delay and pocketdropout,is established through defining an augmented state vector.By constructing Lyapunov functions and employing linear matrix inequality (LMI),it derives a few sufficient conditions for such systems,and obtains the state feedback control.The given example verifies the effectiveness of the method.

Key words: nonlinear networked control systems; time-delay; packet-dropout; fullorder linear observer with the state; Lyapunov functions

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