一类短时延的广义网络控制系统的鲁棒H_∞控制

Robust H_∞ Control for a Kind of Singular Networked Control System with Short Time-Delay

基于正则、无脉冲和线性定常的广义系统,研究了一类网络控制系统的H∞控制问题.针对传感器和执行器节点由时钟驱动,控制器节点由事件驱动,网络总诱导时延小于一个采样周期及具有有限能量的外部扰动的网络控制系统,利用李亚普诺夫理论和线性矩阵不等式描述方法,推导出动态输出反馈H∞控制律存在的充分条件,并给出了相应的设计方法.通过仿真实例,说明了所用方法的有效性.

H∞ control was determined for a kind of networked control system（NCS） based on a regular,impulse-free,and linear time-invariant singular control system.For the NCS with clock-driven sensors,actuators, and event-driven controllers,given an uncertain time-delay with no more than one sampling period and a limited external disturbance,the sufficient condition of the existence of dynamic output feedback H∞ control law was derived through Lyapunov theory and linear matrix inequality.A corresponding design method is also presented.Validity of the proposed approach is demonstrated by a simulation example.