中文摘要：

研究了存在不确定时延的网络控制系统的鲁棒H∞控制器设计方法。首先讨论了系统的建模问题,针对传感器采用时间驱动,控制器和执行器采用事件驱动,考虑不确定时延小于一个采样周期的情况,网络控制系统可建模为一类具有不确定性的线性离散时延系统,利用Lyapunov方法和线性矩阵不等式方法,推导出闭环控制系统渐近稳定且H∞范数小于性能指标γ的充分条件,并给出动态输出反馈H∞控制律设计方法。通过Matlab数值仿真,证明了该设计方法的有效性。

英文摘要：

The design approach of robust H∞ controller for Network Control System（NCS） with random time-delay is studied in this paper.The model problem is discussed firstly.With time-driven sensor and event-driven controller and actuator,supposing that the time-delay is less than one sampling period,the NCS is modeled as an uncertain discrete linear system with delay,based on the Lyapunov functional approach and Linear Matrix Inequality（LMI） formulation;sufficient condition of asymptotic stability and H∞ norm less than performance index γ is derived.And H∞ control law design methods for dynamical output feedback are presented. A numerical simulation example with Matlab shows that the design method is effective.