具有随机通讯时延的离散网络化系统的H∞滤波器设计

由于传感器和滤波器是通过有限带宽的网络连接的,因此系统的测量数据经常会出现时延,而且时延是随机的.本文讨论了具有一步随机通讯时延的离散网络化系统的H∞滤波器设计问题.利用线性矩阵不等式方法设计线性滤波器使得滤波误差系统是均方意义下指数稳定并具有给定的H∞性能.滤波器参数通过凸优化技术求解一个线性矩阵不等式得到.数值仿真表明设计方法的有效性.

H-infinity filter design for discrete-time networked systems with random communication delays

The sensors and filter are connected via a limited bandwidth communication channel.The system measure- ments are often subject to randomly varying communication delays.A H-infinity filtering problem is proposed for linear discrete-time networked systems with random communication delays.The problem addressed here is the design of a linear H-infinity filter such that the error systems are exponentially mean-square stable and guarantee a prescribed H-infinity per- formance in term of linear matrix inequality(LMI).The filter is then obtained by solving a LMI using convex optimization techniques.A numerical example is also provided to demonstrate the validity of the proposed design approach.