具有时延的广义网络控制系统的鲁棒H_∞控制

Robust H_∞ Control of Singular Networked Control Systems with Time-Delay

针对被控对象是广义系统模型的网络控制系统,在传感器和执行器采用时间驱动、控制器采用事件驱动、网络诱导时延小于一个采样周期时,将系统建为具有不确定性及输入时滞的离散广义系统模型.应用Lyapunov函数和线性矩阵不等式方法,给出系统稳定的条件,同时设计满足系统稳定和H∞控制的状态反馈控制器,研究其鲁棒H∞控制问题.最后通过实例及仿真表明所提方法的有效性.

In this study what is to be controlled is the NCS（networked control system） of a singular control system. A discrete singular control system model with uncertainty and time-delay input is thus developed, where the sensor/actuator is time-driven with controller event-driven and the network-induced time-delay is shorter than a sampling cycle. The conditions of system stability are given by means of Lyapunov function and LMI, and a controller is designed satisfying both system stability and H∞ control state feedback to study the robust H∞ control. A simulation as example is given to verify the validity of the approach proposed.