具有随机一步时延及丢包的离散系统H∞滤波

H-infinity Filtering for Discrete-time Systems with Random Time-delay and Packet Dropout

针对存在随机一步时延及丢包的网络,研究了一类离散系统的H∞滤波问题。时延及丢包被认为是两个Bernoulli随机序列,利用线性矩阵不等式(LMI)方法给出了滤波器存在的充分条件,所设计的滤波器使得滤波误差系统在均方意义下是指数稳定的且满足给定的H∞性能。滤波器参数通过凸优化求解一个线性矩阵不等式获得。

For the stochastic time delay and packet dropout in the network,the H-infinity filter design for a class of discrete-time systems is investigated.Time-delay and packet dropout are assumed to be two Bernoulli stochastic sequences.Sufficient conditions are derived in terms of linear matrix inequalities（LMI） for the existence of the filter.The systems of filtering errors for the designed filter are exponentially mean-square stable and satisfy a prescribed H-infinity performance.The filter parameters are obtained by solving a LMI using convex optimization.