Exponential stabilisability of finite-dimensional linear systems with limited data rates

被引：360

作者：

Nair, GN ^{[1
]}

Evans, RJ ^{[1
]}

机构：

[1] Univ Melbourne, Ctr Expertise Networked Decis Syst, Dept Elect & Elect Engn, Melbourne, Vic 3010, Australia

来源：

AUTOMATICA | 2003年 / 39卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

stabilisability; exponentially stable; communication channels; quantisation;

D O I：

10.1016/S0005-1098(02)00285-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A critical notion in the field of communication-limited control is the smallest data rate above which there exists a stabilising coding and control law for a given plant. This quantity measures the lowest rate at which information can circulate in a stable feedback loop and provides a practical guideline for the allocation of communication resources. In this paper, the exponential stabilisability of finite-dimensional LTI plants with limited feedback data rates is investigated. By placing a probability density on the initial state and casting the objective in terms of state moments, the problem is shown to be similar to one in asymptotic quantisation. Quantisation theory is then applied to obtain the infimum stabilising data rate over all causal coding and control laws, under mild requirements on the initial state density. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：585 / 593

页数：9

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