On ${\mathcal H}_{\infty }$ Finite-Horizon Filtering Under Stochastic Protocol: Dealing With High-Rate Communication Networks
On ${\mathcal H}_{\infty }$ Finite-Horizon Filtering Under Stochastic Protocol: Dealing With High-Rate Communication Networks
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DOI：
10.1109/tac.2017.2691310
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发表时间：
2017-04
影响因子：
6.8
通讯作者：
Lei Zou;Zidong Wang;Jun Hu;Huijun Gao
中科院分区：
文献类型：
--
作者：
Lei Zou;Zidong Wang;Jun Hu;Huijun Gao
本文研究了在高速率通信网络和随机协议（SP）下一类时变非线性时滞系统的${\mathcal H}_{\infty}$滤波问题。传感器与状态估计器之间的通信通过共享的高速率通信网络实现，在传感器的两个相邻采样时刻之间会产生多次传输。在每个传输时刻，只允许一个传感器接入通信网络以避免数据冲突，并且采用随机协议来确定在某个时刻哪个传感器能够接入网络。应用映射技术来刻画由于使用随机协议而导致的数据传输的随机切换行为。所研究问题的目的是设计一个估计器，使得在给定的有限时域内估计误差动态满足${\mathcal H}_{\infty}$干扰衰减水平。推导了满足规定的${\mathcal H}_{\infty}$性能要求的有限时域滤波器存在的充分条件，并通过一组递归矩阵不等式给出了时变滤波器增益的显式表达式。仿真结果证明了所提出的滤波器设计方案的有效性。
This paper is concerned with the ${\mathcal H}_{\infty }$ filtering problem for a class of time-varying nonlinear delayed system under high-rate communication network and stochastic protocol (SP). The communication between the sensors and the state estimator is implemented via a shared high-rate communication network in which multiple transmissions are generated between two adjacent sampling instants of sensors. At each transmission instant, only one sensor is allowed to get access to the communication network in order to avoid data collisions and the SP is employed to determine which sensor obtains access to the network at a certain instant. The mapping technology is applied to characterize the randomly switching behavior of the data transmission resulting from the utilization of the SP. The aim of the problem addressed is to design an estimator such that the ${\mathcal H}_{\infty }$ disturbance attenuation level is guaranteed for the estimation error dynamics over a given finite horizon. Sufficient conditions are derived for the existence of the finite-horizon filter satisfying the prescribed ${\mathcal H}_{\infty }$ performance requirement, and the explicit expression of the time-varying filter gains is characterized by resorting to a set of recursive matrix inequalities. Simulation results demonstrate the effectiveness of the proposed filter design scheme.