具有双边时延和丢包的无时间戳网络控制系统的状态镇定

State stabilization of networked control systems with bilateral delay and packet loss without time stamps

本文考虑具有双边随机时延和丢包的网络控制系统(NCS)的控制器及观测器的设计问题。首先,引入两组伯努利随机分布变量来描述前向通道和反馈通道存在的随机时延和丢包的特性,其中数据包不带有时间戳。然后,通过引入的伯努利随机变量,将系统状态方程增广为新的系统模型。基于李雅普诺夫稳定性理论进行稳定性分析,得到了系统均方指数稳定的充分条件,并通过线性矩阵不等式方法设计系统观测器与控制器参数。最后通过仿真实验验证了该方法的有效性。

This paper studies the designment of the controller and state observer for networked control system(NCS)with bilateral random delay and packet loss.First,two groups of Bernoulli random distribution variables are introduced to describe the random delay and dropout characteristics of data packet in the forward and feedback channels,where the data packet does not have time stamps.Then,by introducing the Bernoulli random variables,the system state equation is augmented to form the new system model.Based on the Lyapunov stability theory,the sufficient conditions for the mean square exponential stability of the system are derived,and the parameters of the system observer and controller are designed by using the linear matrix inequality.Finally,the simulation results show the effectiveness of the proposed method.