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Finite-time control of discrete-time systems with variable quantization density in networked channels
IEEE/CAA Journal of Automatica Sinica ( IF 11.8 ) Pub Date : 2020-03-27 , DOI: 10.1109/jas.2020.1003087
Yiming Cheng , Xu Zhang , Tianhe Liu , Changhong Wang

This paper is concerned with the problem of finite-time control for a class of discrete-time networked systems. The measurement output and control input signals are quantized before being transmitted in communication network. The quantization density of the network is assumed to be variable depending on the throughputs of network for the sake of congestion avoidance. The variation of the quantization density modes satisfies persistent dwell-time ( PDT ) switching which is more general than dwell-time switching in networked channels. By using a quantization-error-dependent Lyapunov function approach, sufficient conditions are given to ensure that the quantized systems are finite-time stable and finite-time bounded with a prescribed H∞ performance, upon which a set of controllers depending on the mode of quantization density are designed. In order to show the effectiveness of the designed H∞ controller, we apply the developed theoretical results to a numerical example.

中文翻译:

网络通道中具有可变量化密度的离散时间系统的有限时间控制

本文涉及一类离散时间网络系统的有限时间控制问题。测量输出和控制输入信号在通信网络中传输之前被量化。为了避免拥塞,假定网络的量化密度根据网络的吞吐量而变化。量化密度模式的变化满足持续的驻留时间(PDT)切换,这比网络通道中的驻留时间切换更为普遍。通过使用依赖于量化误差的Lyapunov函数方法,给出了充分的条件以确保量化系统是有限时间稳定的并且具有规定的H∞性能的有限时间,基于此,一组控制器取决于控制模式。设计量化密度。
更新日期:2020-03-27
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