具有双边丢包和混合时延的Delta算子系统H∞滤波

H∞ Filtering for Delta Operator Systems with Two-channel Packet Dropouts and Mixed Delays

研究网络控制系统中存在双边丢包和混合随机时延的滤波问题,基于Delta算子方法设计了一类H∞滤波器。假定传感器至控制器、控制器至执行器两个信道存在数据包丢失,由两个独立伯努利分布的白色序列表示。混合随机时延由网络诱导时延和离散无限分布时延组成。利用马尔科夫随机过程构造李雅普诺夫泛函,由线性矩阵不等式得到了具有H∞性能的滤波误差系统随机稳定的充分条件,给出H∞滤波器参数。数值算例证明了该方法的有效性。

In this paper,the problem of H∞filtering for networked control systems using delta operator was investigated,which included two-channel packet dropouts and mixed random delays.Random communication packet dropouts existed in channels both from sensors to controllers and from controllers to actuators.They were represented by two independent Bernoulli distributed white sequences.The mixed random time-delays consisted of network induced time delay and discrete infinite distributed delays.A networked-based model was considered with a Markov stochastic process and the H∞filtering error system was constructed by using Lyapunov-Krasovskii function in delta domain.A sufficient condition for stochastic stability of the filtering error system with an H∞performance was obtained in terms of linear matrix inequalities(LMI).The explicit expression of the desired H∞filter was given.A numerical example showed the effectiveness of the proposed method.