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网络化持续驻留时间切换分段仿射系统的量化H滤波

Quantized H filtering for networked persistent dwell-time switched piecewise-affine systems.

作者信息

Mei Zhen, Li Ziwei, Su Lei, Wang Jing, Li Feng

机构信息

School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 243032, China.

School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 243032, China.

出版信息

ISA Trans. 2023 May;136:173-181. doi: 10.1016/j.isatra.2022.10.017. Epub 2022 Oct 22.

DOI:10.1016/j.isatra.2022.10.017
PMID:36336471
Abstract

In this study, the problem of quantized H filtering is addressed for networked switched piecewise-affine systems, in which the switching mechanism obeys the persistent dwell-time constraint. To process the measurement output and schedule the transmission sequence for alleviating the burden of the limited communication channel, a logarithmic quantizer is employed, which can further improve the bandwidth utilization in networked switched systems. On the basis of state-space division, the objective is to design a mode-dependent and region-dependent filter that ensuresthe filtering error system is globally uniformly exponentially stable and meets an H performance. By using the mode-dependent Lyapunov function approach and employing appropriate decoupling methods, sufficient conditions for obtaining desired filter gains are deduced. Eventually, two illustrated examples are given to demonstrate the effectiveness of our proposed method.

摘要

在本研究中,针对网络化切换分段仿射系统解决了量化H滤波问题,其中切换机制遵循持续驻留时间约束。为了处理测量输出并调度传输序列以减轻有限通信信道的负担,采用了对数量化器,这可以进一步提高网络化切换系统中的带宽利用率。基于状态空间划分,目标是设计一个依赖于模式和区域的滤波器,以确保滤波误差系统全局一致指数稳定并满足H性能。通过使用依赖于模式的李雅普诺夫函数方法并采用适当的解耦方法,推导了获得期望滤波器增益的充分条件。最后,给出了两个示例来说明所提方法的有效性。

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