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存在数据丢包的网络控制系统的控制
引用本文:张湘,肖建.存在数据丢包的网络控制系统的控制[J].控制工程,2008(Z1).
作者姓名:张湘  肖建
作者单位:西南交通大学电气学院
摘    要:将存在数据丢包的网络控制系统描述为跳跃系统。基于一个李雅普诺夫泛函,只需满足4个线性矩阵不等式,便可通过带状态观测的状态反馈控制使闭环系统达到稳定。由于得到的条件不是严格的线性矩阵不等式条件,将不具有严格线性矩阵不等式条件的非凸可行解问题转化为具有严格线性不等式的非线性最小化问题,得到了求解状态反馈控制器增益和状态观测器增益的算法。数值仿真结果验证了该算法的有效性。在所设计的状态反馈控制器的校正作用下,闭环系统的响应是渐近稳定的。

关 键 词:网络控制系统  数据丢包  状态反馈控制  线性矩阵不等式  非线性最小化

Control for Networked Control System with Packet Losses
ZHANG Xiang,XIAO Jian.Control for Networked Control System with Packet Losses[J].Control Engineering of China,2008(Z1).
Authors:ZHANG Xiang  XIAO Jian
Abstract:The networked control system with packet losses is described as jump system.When four LMIs are satisfied,the closed-loop system can be stabilized under state feedback control with state observation based on a Lyapunov function.Because the obtained condition is not a strict condition of LMI,the nonconvex feasible problem is transformed to the nonlinear minimization problem,the algorithms for solving the gains of state feedback controller and state observation are obtained.Numerical simulation results show the validity of the algorithm.Under the emendation of the state feedback controller,the closed-loop system is asymptotic stable.
Keywords:networked control system  packet losses  state feedback control  LMI  nonlinear minimization
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