研究一类具有不确定时延的网络控制系统的H∞鲁棒控制问题。假设网络控制系统的控制器与执行器均为事件驱动,传感器为时间驱动,网络诱导时延是时变、不确定的,且小于传感器的采样周期;将此类网络控制系统的广义被控对象建模为一类具有不确定性的线性离散系统。基于Lyapunov函数和线性矩阵不等式(LMI)方法,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,并给出控制器的设计方法。仿真表明该方法是有效的。
The robust H∞ control of a class of networked control systems with uncertain delay is studied. Supposed that the controller and actuator of the network control system (NCS) are event driven, the sensor node is time driven, the network induced delay is time-varying, uncertain and less than the sampling period, the generalized plant is modeled as an uncertain linear discrete system. Based on Lyapunov function and linear matrix inequality (LMI), a sufficient condition for NCS which was subject to the asymptotic stability and H∞ performance was derived, and the design approach of the controller was also given. The simulation verifies the proposed approach.