时延网络控制系统的稳定性

Stability of networked control systems with time-delay

针对网络控制系统中存在的不确定时延 ,首先讨论了系统的建模问题 .系统中传感器采用时间驱动 ,执行器与控制器采用事件驱动 ,传感器的数据采用单包传输 .假设传输时延小于采样周期 ,网络控制系统可以建模为一类具有不确定性的线性离散时延系统 .利用Lyapunov方法 ,给出了闭环系统渐近稳定的充分条件 ,基于相应的线性矩阵不等式可行解 ,可以求解状态反馈控制律 .最后 。

Considering the uncertain delay of networked control systems,the modeling problem is discussed firstly.Suppose the sensor node is time-driven,the executor and the controller are event-driven,the sampled data were lumped together into single data packet and the transfer delay is less than one sampling period,the networked control system is modeled as an uncertain discrete linear system with delay.Then based on the Lyapunov functional approach,sufficient condition of asymptotic stability is given,and the state feedback controller is obtained based on the feasible solution of the linear matrix inequalities.The simulation verified the validity of the method.