具有分布时滞和随机测量数据丢失的离散切换系统H_∞滤波

H_∞ filtering for discrete switched systems with distributed delays and random measurement data missing

由于传感器间接失效、信号带宽限制等原因,测量数据丢失和分布时滞成为无线传感器网络中的常见现象,若不能有效地考虑这些现象对系统的影响,则无法保证系统的性能.为此,针对一类具有分布时滞和随机测量数据丢失的离散切换系统研究H_∞滤波问题,采用已知概率的Bernoulli随机序列描述测量数据丢失,构造Lyapunov-krasorskii函数,基于平均驻留时间法和LMI技术提出保证滤波误差系统均方指数稳定且满足H_∞性能的充分条件.数值仿真验证了所提出方法的可行性.

Due to sensor indirect failure, signal bandwidth limitation and other reasons, measurement data missing and distributed delays become common phenomena in wireless sensor networks. System performance cannot be guaranteed if the effects on the system can not be considered effectively. The problem of H∞ filtering for a class of discrete-time switched systems with distributed delays and random measurement data missing is studied. Bernoulli random sequence with known probability is used to describe the measurement data missing, and the filtering error system is then discussed by constructing a Lyapunov-krasorskii functional. The sufficient condition for guaranteeing the mean square exponential stability and the H∞ performance of filtering error system is given by using the average dwell time method and LMI technique. The numerical simulation results show the feasibitity of the proposed method.