广东工业大学学报 ›› 2012, Vol. 29 ›› Issue (2): 85-88.doi: 10.3969/j.issn.1007-7162.2012.02.017

• 综合研究 • 上一篇    下一篇

基于随机丢包的网络控制系统控制器设计

  

  1. 广东工业大学 应用数学学院,广东 广州 510520
  • 出版日期:2012-06-25 发布日期:2012-06-25
  • 作者简介:陈孟伟（1987-）,男，硕士研究生，主要研究方向为网络控制系统.

  1. Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510520  China
  • Online:2012-06-25 Published:2012-06-25
  • Contact: The Design of Controllers in Network Control System Based on Random Packet Loss

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摘要： 针对网络控制系统的数据包丢失(丢包)问题，提出将数据包丢失过程理解为一类随机过程，将随机丢包丢失过程建模为一个随机Markov链，系统的模型则可以表示成一类Markov跳变系统.利用Lyapunov 稳定性、Markov跳变系统理论和随机最优控制理论分析闭环系统的稳定性，设计基于随机丢包的动态输出反馈控制器，利用Matlab的LMI工具箱，利用双线性矩阵不等式的可行解给出控制器的参数.并用实例验证了该方法的有效性.

关键词: 网络控制系统；数据包；随机Markov链；控制器；双线性矩阵不等式

Abstract: Network control system for packet loss is proposed to view the packet loss process as a random process. The process of random packet loss is modeled as a random loss of Markov chain model of the system which can be represented as a class of Markov Jump system, using Lyapunov stability, Markov jump systems theory and stochastic optimal control theory of the stability of closedloop system, whose design is based on random packet loss of the dynamic output feedback controller, using Matlabs LMI toolbox, The use of bilinear Feasible solution to matrix inequalities is given the controllers parameters. Finally, an example is given to verify the validity of the method.

Key words: network control system; data packet; random Markov chain; controller; bilinear matrix inequality

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