基于随机丢包的网络控制系统控制器设计

The Design of Controllers in Network Control System Based on Random Packet Loss

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Mat-lab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.

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 de- sign is based on random packet loss of the dynamic output feedback controller, using Matlab＇s LMI tool- box, The use of bilinear Feasible solution to matrix inequalities is given the controller＇s parameters. Fi- nally, an example is given to verify the validity of the method.