具有时延和数据包丢失的网络控制系统状态反馈

State Feedback for Networked Control Systems with Time-Delay and Data Packet Dropout

针对具有时延和数据包随机丢失的网络控制系统,将系统建模为一类含有服从伯努利分布的随机变量的随机控制系统.在此基础上,利用李亚普诺夫理论和鲁棒控制理论,推导出了状态反馈控制器存在的充分条件,并以线性矩阵不等式的形式给出了使闭环系统指数均方稳定的状态反馈控制器的设计方法.仿真实例说明了所用方法的有效性.

For networked control systems with time-delay and random data packet dropout,a stochastic control system model was established containing Bernoulli distributed stochastic variables.Furthermore,the condition of the state feedback controller that makes the closed loop system exponentially mean-square stable is derived by means of Lyapunov theory and robust control theory.The design method is also given in terms of linear matrix inequalities（LMI）.A simulation example was used to demonstrate validity of the proposed method.