Δ-modulated feedback in discretization of sliding mode control

被引：31

作者：

Xia, XH ^{[1
]}

Zinober, ASI

机构：

[1] Univ Pretoria, Dept Elect Elect & Comp Engn, ZA-0002 Pretoria, South Africa

[2] Univ Sheffield, Dept Math Appl, Sheffield S10 2TN, S Yorkshire, England

来源：

AUTOMATICA | 2006年 / 42卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

delta-modulation; periodic points; sliding mode control;

D O I：

10.1016/j.automatica.2005.12.026

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Modulated feedback control introduces periodicity. The global attracting property of the periodic points is established for a simple scalar discrete-time system under Delta-modulated feedback. Attracting regions of the periodic points are also characterized. When the discretization effects of the equivalent control-based sliding mode control systems are studied, we show that the zero-order-hold discretization gives rise to Delta-modulation in the sliding mode direction. The global attracting property of J-modulated feedback offers a vivid illustration of the way sliding is achieved. Interestingly, we find that a ZOH discretization scheme of the equivalent control-based sliding mode control system with relative degree one results in only 2-periodic orbits. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：771 / 776

页数：6

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