A Descriptor System Approach to Discrete-Time Sliding Mode Control for Uncertain Systems with Time-Varying Delays

被引：0
|
作者：
Yan, Maode [1 ]
Mehr, Aryan Saadat [2 ]
Shi, Yang [1 ]
机构：
[1] Univ Saskatchewan, Dept Mech Engn, 57 Campus Dr, Saskatoon, SK S7N 5A9, Canada
[2] Univ Saskatchewan, Dept Elect & Comp Engn, 57 Campus Dr, Saskatoon, SK S7N 5A9, Canada
来源：
PROCEEDINGS OF THE 2008 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL | 2008年
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
暂无
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 investigates the descriptor system approach to discrete-time sliding mode control (DT-SMC) design for 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.
引用
收藏
页码：144 / +
页数：2
相关论文
共 50 条
  • [1] Discrete-Time Sliding-Mode Control of Uncertain Systems with Time-Varying Delays via Descriptor Approach
    Yan, Maode
    Mehr, Aryan Saadat
    Shi, Yang
    [J]. JOURNAL OF CONTROL SCIENCE AND ENGINEERING, 2008, 2008
  • [2] Sliding mode control for discrete-time uncertain descriptor systems with time-varying delay
    Kchaou, Mourad
    El-Hajjaji, Ahmed
    [J]. 2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 4740 - 4745
  • [3] Sliding mode control of systems with time-varying delays via descriptor approach
    Fridman, E
    Gouaisbaut, F
    Dambrine, M
    Richard, JP
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2003, 34 (8-9) : 553 - 559
  • [4] Robust sliding mode control for uncertain discrete singular systems with time-varying delays
    Han, Yueqiao
    Kao, Yonggui
    Gao, Cunchen
    Jiang, Baoping
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (04) : 818 - 827
  • [5] Robust sliding mode preview control for uncertain discrete-time systems with time-varying delay
    Ren, Junchao
    Jiang, Changbin
    [J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2022, 236 (04) : 772 - 782
  • [6] Robust discrete-time sliding mode control for uncertain systems with time-varying state delay
    Yan, M.
    Shi, Y.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (08): : 662 - 674
  • [7] Robust (Q, S, R)-γ-dissipative sliding mode control for uncertain discrete-time descriptor systems with time-varying delay
    Kchaou, Mourad
    Mahmoud, Magdi S.
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2018, 35 (03) : 735 - 756
  • [8] Time-varying Sliding Mode Control for Discrete-time Nonlinear Uncertain Coupled Systems via Sliding Mode Prediction
    Xiao, Lingfei
    Duan, Shaodong
    Shen, Tao
    [J]. APPLIED MECHANICS AND MECHANICAL ENGINEERING, PTS 1-3, 2010, 29-32 : 2164 - 2169
  • [9] Robust passive control for uncertain discrete-time systems with time-varying delays
    Cui, BT
    Hua, MG
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 29 (02) : 331 - 341
  • [10] Robust finite-time sliding mode control for discrete-time singular system with time-varying delays
    Zhao, Yinghong
    Liu, Yangfan
    Ma, Yuechao
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (09): : 4848 - 4863
12345