New Criterion for the Stability of Discrete-Time Systems with State Saturation and Time-Varying Delay

被引：2
|
作者：
Gupta, Pushpendra Kumar [1 ]
Singh, Kalpana [1 ]
Kandanvli, V. Krishna Rao [1 ]
Kar, Haranath [1 ]
机构：
[1] Motilal Nehru Natl Inst Technol Allahabad, Dept Elect & Commun Engn, Prayagraj 211004, India
来源：
JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS | 2023年 / 34卷 / 04期
关键词：
Discrete-time system; Global asymptotic stability; Linear matrix inequality; Lyapunov function; Saturation nonlinearity; Time-varying delay; ROBUST STABILITY;
D O I：
10.1007/s40313-023-01005-5
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of global asymptotic stability analysis of discrete-time systems with state saturation and time-varying delay is investigated in this study. A new sufficient global asymptotic stability criterion is derived with the help of the reciprocal convex lemma and Wirtinger-based inequality for estimating the sum terms in the forward difference of the Lyapunov function. Numerical examples showing the usefulness of the proposed results and comparison with the existing results are also given.
引用
收藏
页码：700 / 708
页数：9
相关论文
共 50 条
  • [1] New Criterion for the Stability of Discrete-Time Systems with State Saturation and Time-Varying Delay
    Pushpendra Kumar Gupta
    Kalpana Singh
    V. Krishna Rao Kandanvli
    Haranath Kar
    [J]. Journal of Control, Automation and Electrical Systems, 2023, 34 : 700 - 708
  • [2] New Stability Criterion for Discrete-Time Systems with Interval Time-Varying State Delay
    Guo, Yafeng
    Li, Shaoyuan
    [J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 1342 - 1347
  • [3] A New Stability Criterion For Discrete-time Systems With Time-varying Delay use Helvetica
    Chen Fangxin
    Chen Chang
    Guo Lejiang
    Tu Wenjie
    [J]. 2012 7TH INTERNATIONAL CONFERENCE ON SYSTEM OF SYSTEMS ENGINEERING (SOSE), 2012, : 184 - 186
  • [4] New results on stability of discrete-time systems with time-varying state delay
    Gao, Huijun
    Chen, Tongwen
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) : 328 - 334
  • [5] Stability of discrete-time uncertain systems with a time-varying state delay
    Chen, K-F
    Fong, I-K
    [J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2008, 222 (I6) : 493 - 500
  • [6] New criterion for finite-time stability of linear discrete-time systems with time-varying delay
    Zuo, Zhiqiang
    Li, Hongchao
    Wang, Yijing
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (09): : 2745 - 2756
  • [7] An improved stability criterion for discrete-time Lur'e systems with time-varying delay
    Zhang, Peng
    Xu, Yuan
    Shen, Tao
    [J]. 2018 CHINESE AUTOMATION CONGRESS (CAC), 2018, : 305 - 310
  • [8] Delay-Dependent Stability Criterion for Discrete-Time Systems with Time-Varying Delays
    Hua, Changchun
    Wu, Shuangshuang
    Bai, Zhenhua
    Guan, Xinping
    [J]. ASIAN JOURNAL OF CONTROL, 2017, 19 (02) : 708 - 716
  • [9] Asymptotic stability of discrete-time systems with time-varying delay subject to saturation nonlinearities
    Chen, Shyh-Feng
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 1251 - 1257
  • [10] New delay-dependent stability conditions for discrete-time systems with time-varying delay in the state
    Hao, Fei
    Zhao, Xianghui
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2010, 27 (03) : 253 - 266
12345