Discrete-Time Sliding-Mode Control of Uncertain Systems with Time-Varying Delays via Descriptor Approach

被引：5
|
作者：
Yan, Maode [1 ,2 ]
Mehr, Aryan Saadat [3 ]
Shi, Yang [2 ]
机构：
[1] Changan Univ, Sch Elect & Control Engn, Xian 710064, Shaanxi, Peoples R China
[2] Univ Saskatchewan, Dept Mech Engn, Saskatoon, SK S7N 5A9, Canada
[3] Univ Saskatchewan, Dept Elect & Comp Engn, 57 Campus Dr, Saskatoon, SK S7N 5A9, Canada
来源：
JOURNAL OF CONTROL SCIENCE AND ENGINEERING | 2008年 / 2008卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1155/2008/489124
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 problem of robust discrete-time sliding-mode control (DT-SMC) design for a class of uncertain linear systems with time-varying delays. By applying a descriptor model transformation and Moon's inequality for bounding cross terms, a delay-dependent sufficient condition for the existence of stable sliding surface is given in terms of linear matrix inequalities (LMIs). Based on this existence condition, the synthesized sliding mode controller can guarantee the sliding-mode reaching condition of the specified discrete-time sliding surface for all admissible uncertainties and time-varying delays. An illustrative example verifies the effectiveness of the proposed method. Copyright (C) 2008 Maode Yan et al.
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页数：8
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