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
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
  • [21] Sliding Mode Control for Uncertain Fractional-Order Systems with Time-Varying Delays
    Ren, Zhiguo
    Tong, Dongbing
    Chen, Qiaoyu
    Zhou, Wuneng
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2024, 43 (06) : 3979 - 3995
  • [22] Robust preview control of uncertain discrete-time T-S fuzzy Markovian jump systems subject to time-varying delays via sliding mode approach
    Sun, Qingdong
    Ren, Junchao
    Fu, Jun
    [J]. INFORMATION SCIENCES, 2023, 639
  • [23] Stability of discrete-time systems with time-varying delays
    Ekanayake, MM
    Premaratne, K
    Douligeris, C
    Bauer, PH
    [J]. PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 3914 - 3919
  • [24] Delay-Dependent Robust Control for Discrete-Time Uncertain Stochastic Systems With Time-Varying Delays
    Ku, Cheung-Chieh
    Chen, Guan-Wei
    [J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2017, 139 (10):
  • [25] Adaptive Robust H∞ Control for Uncertain Discrete-Time Systems with Time-Varying State and Input Delays
    Han, Cunwu
    Zhang, Fengmei
    Liu, Lei
    Bi, Song
    Sun, Dehui
    [J]. 2014 IEEE CHINESE GUIDANCE, NAVIGATION AND CONTROL CONFERENCE (CGNCC), 2014, : 2236 - 2239
  • [26] H∞ Control for Discrete-Time Uncertain Singular Systems with Interval Time-Varying State and Input Delays
    Cui Shaochun
    Zhu Huanyu
    Zhang Xian
    [J]. 2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2374 - 2379
  • [27] Sliding mode control for uncertain discrete-time delayed systems
    Xia, Yuanqing
    Chen, Jie
    Liu, Guo-Ping
    Rees, David
    [J]. PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 1852 - +
  • [28] Sliding mode reliable control for uncertain discrete-time systems
    Sun, Na-Na
    Niu, Yu-Gang
    Chen, Bei
    Liu, Yong-Hui
    [J]. Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2013, 30 (02): : 243 - 248
  • [29] Discrete-time sliding mode controller for linear time-varying systems with uncertainty
    Park, KB
    [J]. ELECTRONICS LETTERS, 2000, 36 (25) : 2111 - 2112
  • [30] A regular H∞ filter for uncertain discrete-time singular systems with time-varying delays
    Mahmoud, Magdi S.
    Xia, Yuanqing
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2012, 29 (03) : 309 - 328