一类不确定时延网络控制系统最优H_∞控制

Optimal H_∞ Control for a Class of Networked Control System with Uncertain Time-delay

研究了一类不确定时延网络控制系统最优H∞控制问题.针对传感器时钟驱动、控制器和执行器事件驱动的网络控制系统,考虑不大于一个采样周期的不确定时延和有限能量的外部扰动,利用李亚普诺夫理论和线性矩阵不等式描述方法,推导出该系统动态输出反馈H∞控制律存在的充要条件,给出了最优动态输出反馈H∞控制律设计方法.通过M atlab数值仿真算例,证明了分析方法和结果的有效性.

This paper studies the optimal H∞ control problem for a class of networked control system （NCS） with uncertain time-delay. For the networked control systems with clock-driven sensors and event-driven actuators and controllers, supposing that the time-delay is uncertain and not more than one sampling period and the external disturbance is limited, the sufficient and necessary condition of the existence of suboptimal H∞ control law for dynamical output feedback is derived by using Lyapunov theory, and linear matrix inequality formulation, and optimal H∞ control law design methods for dynamical output feedback are presented. A numerical simulation example with Matlab shows that the analysis method and the results are valid arid feasible.