Matrosov theorem for parameterized families of discrete-time systems

被引：18

作者：

Nesic, D ^{[1
]}

Teel, AR

机构：

[1] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3052, Australia

[2] Univ Calif Santa Barbara, CCEC, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

来源：

AUTOMATICA | 2004年 / 40卷 / 06期

基金：

澳大利亚研究理事会; 美国国家科学基金会;

关键词：

adaptive control; discrete-time; Matrosov theorem; nonlinear systems; persistency of excitation; stability; time-varying;

D O I：

10.1016/j.automatica.2004.01.016

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 version of Matrosov's theorem for parameterized discrete-time time-varying systems is presented. The theorem is a discrete-time version of the continuous-time result in Loria et al., 2002 (delta-persistency of excitation: a necessary and sufficient condition for uniform attractivity, 2002, submitted for publication). Our result facilitates controller design for sampled-data nonlinear systems via their approximate discrete-time models. An application of the theorem to establishing uniform asymptotic stability of systems controlled by model reference adaptive controllers designed via approximate discrete-time plant models is presented. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1025 / 1034

页数：10

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