Finite-time Control of Discrete-time Systems With Variable Quantization Density in Networked Channels

Yiming Cheng; Xu Zhang; Tianhe Liu; Changhong Wang

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Finite-time Control of Discrete-time Systems With Variable Quantization Density in Networked Channels

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This paper is concerned with the problem of finitetime 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.

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来源
《自动化学报：英文版》 |2020年第5期|P.1394-1402|共9页
作者
Yiming Cheng; Xu Zhang; Tianhe Liu; Changhong Wang;
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作者单位

Space Control and Inertial Technology Research Center Harbin Institute of Technology Harbin 150001 China;

School of Astronautics Harbin Institute of Technology Harbin 150001 China;

Space Control and Inertial Technology Research Center Harbin Institute of Technology Harbin 150001 China;

Space Control and Inertial Technology Research Center Harbin Institute of Technology Harbin 150001 China;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
Finite-time; H∞controller design; quantization-error-dependent Lyapunov function; quantized signal;

机译：有限时间;H∞控制器设计;量化误差相关的Lyapunov函数;量化信号;

Finite-time Control of Discrete-time Systems With Variable Quantization Density in Networked Channels

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