Mean Square Stabilization of Linear Discrete-Time Systems Over Power-Constrained Fading Channels

被引：21

作者：

Xu, Liang ^{[1
]}

Mo, Yilin ^{[1
]}

Xie, Lihua ^{[1
]}

Xiao, Nan ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

linear systems; networked control systems; fading channels; stability criteria; FEEDBACK STABILIZATION; STABILIZABILITY; NETWORKS;

D O I：

10.1109/TAC.2017.2656065

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the mean square stabilization problem of discrete-time linear time-invariant systems over a power constrained fading channel. Fundamental limitations on the mean square stabilizability are obtained via information theoretic arguments. For scalar systems and two-dimensional systems, necessary and sufficient conditions for the mean square stabilizability are provided. Moreover, an adaptive time division multiple access (TDMA) communication scheme is designed for high-dimensional systems, which achieves a larger stabilizability region than the conventional TDMA communication scheme, and is proved to be optimal under certain situations.

引用

页码：6505 / 6512

页数：8

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