Event-Based Finite-Time Filtering for Multirate Systems With Fading Measurements
Event-Based Finite-Time Filtering for Multirate Systems With Fading Measurements
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DOI：
10.1109/taes.2017.2671498
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发表时间：
2017-06
影响因子：
4.4
通讯作者：
Yong Zhang;Zidong Wang;Lei Zou;H. Fang
中科院分区：
文献类型：
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作者：
Yong Zhang;Zidong Wang;Lei Zou;H. Fang
本文研究了一类具有衰落信道的无线网络多速率系统（NMS）的有限时间滤波问题。系统测量通过由改进的随机莱斯衰落模型描述的衰落信道传输，并且提出基于事件的无线中继通信方案来确定中继节点中接收到的衰落测量是否应该传输到滤波器。借助随机分析方法，建立了充分的条件，保证估计误差动态的随机有限时间有界性（FTB）并实现规定的有限时间$H_{\infty }$性能约束。基于导出的条件，所解决的 NMS 有限时间滤波问题被改写为凸优化问题，可以通过半定程序方法求解。此外，通过某些矩阵不等式的可行性，获得了所需滤波器的显式表达。考虑了关于 FTB 参数和有限时间 $H_{\infty }$ 性能指数的另外两个优化问题。最后，通过连续搅拌釜反应器的数值模拟实例验证了本文提出的过滤方案的有效性。
In this paper, the finite-time filtering problem is investigated for a class of wireless networked multirate systems (NMSs) with fading channels. The system measurements are transmitted through fading channels described by a modified stochastic Rice fading model, and the event-based wireless relay communication scheme is proposed to determine whether the received fading measurements in the relay nodes should be transmitted to the filter. With the aid of the stochastic analysis approach, sufficient conditions are established under which the stochastic finite-time boundedness (FTB) of the estimation error dynamics is guaranteed and the prescribed finite-time $H_{\infty }$ performance constraint is achieved. Based on the derived conditions, the addressed finite-time filtering problem of NMSs is recast as a convex optimization one that can be solved via the semidefinite program method. Furthermore, the explicit expression of the desired filter is obtained by means of the feasibility of certain matrix inequalities. Two additional optimization problems are considered with respect to the FTB parameter and the finite-time $H_{\infty }$ performance index. Finally, a numerical simulation example on a continuous stirred tank reactor is employed to show the effectiveness of the filtering scheme proposed in this paper.