基于网络控制系统的H_∞鲁棒控制

Robust H_∞ control of a class of network control systems

针对控制器与执行器均为事件驱动、传感器为时间驱动、时延不确定且不大于一个采样周期的网络控制系统,建立了其在单包传输下的离散模型。基于Lyapunov函数和线性矩阵不等式(LMI)方法,分析了闭环系统的鲁棒稳定性,导出了闭环系统渐近稳定且满足给定H∞性能指标的充分条件。通过仿真算例,证明了分析方法和结果的有效性。

Aiming at the network control system （NCS）, which features the event-drivened controller and actuator, time-drivened sensor,and the network induced delay is uncertain and is less than one sampling period, a discrete model in the case of single-packet transmission is developed. Based on Lyapunov function and linear matrix inequality （LMI）, a sufficient condition for NCS which is subiect to the asymptotic stability and H∞ performance is derived. A simulation example with Matlab shows that the analysis method and results are valid and feasible.