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首页> 外文期刊>Information Sciences: An International Journal >On quantized H-infinity filtering for multi-rate systems under stochastic communication protocols: The finite-horizon case
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On quantized H-infinity filtering for multi-rate systems under stochastic communication protocols: The finite-horizon case

机译：随机通信协议下多速系统的量化H-Infinity滤波：有限地平衡

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摘要

In this paper, the finite-horizon H-infinity, filtering problem is investigated for a class of linear discrete-time multi-rate systems with quantization effects under the stochastic communication protocol (SCP). The SCP is adopted to mitigate the undesirable data collision phenomenon resulting from the limited bandwidth of communication networks. Governed by a Markov chain, the SCP is employed to determine which sensor node should be granted the access right at each transmission instant. In order to cope with the difficulty caused by the asynchronous sampling, a lifting technique is utilized to convert the multi-rate system into a single-rate one with the identical slow sampling rate. The main purpose of the addressed problem is to design a set of time-varying filters for the multi-rate systems such that, for all admissible multi-sampling periods and quantization effects under the SCP, the constraint is satisfied over a finite-horizon. By resorting to the complete square method and the Riccati difference equation (RDE) technique, sufficient conditions are established to ensure the existence of the desired filters. Then, the filter parameters are explicitly expressed in terms of the solution to two coupled backward RDEs. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed filter design algorithm. (C) 2018 Elsevier Inc. All rights reserved.
机译：本文研究了有限地平线H-Infinity，针对随机通信协议（SCP）下的量化效果的一类线性离散时间多速度系统研究了滤波问题。采用SCP来减轻由通信网络的有限带宽产生的不期望的数据碰撞现象。由Markov链控制，SCP用于确定应在每个传输时刻授予哪个传感器节点。为了应对异步采样引起的困难，利用提升技术将多速率系统转换为单速率，具有相同的慢采样率。解决问题的主要目的是为多速率系统设计一组时变滤波器，使得对于SCP下的所有可接受的多样品周期和量化效果，在有限范围内满足约束。通过求助于完整的方形方法和Riccati差分方程（RDE）技术，建立了充分的条件，以确保所需过滤器的存在。然后，以解决方案到两个耦合的向后RDE明确地表达滤波器参数。最后，提出了一个数值示例以展示所提出的滤波器设计算法的有效性。 （c）2018年Elsevier Inc.保留所有权利。

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