Event-triggered exponential stabilization of delayed systems on time scales

被引:0
作者
Lin, Jinduo
Tang, Wei
Sheng, Yin [1 ]
Xiao, Qiang
Zeng, Zhigang
机构
[1] Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Wuhan 430074, Peoples R China
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2024年 / 361卷 / 11期
关键词
Delayed system; Exponential stabilization; Dynamic event-triggered strategy; Time scale; CONSENSUS; NETWORKS;
D O I
10.1016/j.jfranklin.2024.106986
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 addresses exponential stabilization issue for delayed systems on time scales. A dynamic event-triggered strategy (DETS) is proposed that relies on both the last sampled state and an exponential threshold, which can reduce the transmission frequency of the feedback control signal. Through inequality techniques and comparison method, a criterion of exponential stabilization for the underlying systems is presented. Besides, the measurement errors and estimation of system states are used to prevent Zeno behavior in DETS design. Two simulations are provided to illustrate the theoretical outcomes.
引用
收藏
页数:13
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共 30 条
  • [1] A production-inventory model of HMMS on time scales
    Atici, Ferhan M.
    Uysal, Fahriye
    [J]. APPLIED MATHEMATICS LETTERS, 2008, 21 (03) : 236 - 243
  • [2] On the consensus tracking investigation for multi-agent systems on time scale via matrix-valued Lyapunov functions
    Babenko, Serhii
    Defoort, Michael
    Djemai, Mohamed
    Nicaise, Serge
    [J]. AUTOMATICA, 2018, 97 : 316 - 326
  • [3] State feedback stabilization of a class of uncertain nonlinear systems on non-uniform time domains
    Ben Nasser, Bacem
    Boukerrioua, Khaled
    Defoort, Michael
    Djemai, Mohamed
    Hammami, Mohamed Ali
    [J]. SYSTEMS & CONTROL LETTERS, 2016, 97 : 18 - 26
  • [4] Bohner M., 2001, Difference equations: an introduction with applications, DOI DOI 10.1007/978-1-4612-0201-1
  • [5] Event-Triggered Control for Systems on Non-Uniform Time Domains Using Measure Chain Theory
    Dey, Subham
    Defoort, Michael
    Djemai, Mohamed
    Di Gennaro, Stefano
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2022, 69 (03) : 1198 - 1202
  • [6] Observer Based Leader-Follower Bipartite Consensus With Intermittent Failures Using Lyapunov Functions and Time Scale Theory
    Dey, Subham
    Taousser, Fatima Zohra
    Djemai, Mohamed
    Defoort, Michael
    Di Gennaro, Stefano
    [J]. IEEE CONTROL SYSTEMS LETTERS, 2021, 5 (06): : 1904 - 1909
  • [7] Distributed Secondary Control for Active Power Sharing and Frequency Regulation in Islanded Microgrids Using an Event-Triggered Communication Mechanism
    Ding, Lei
    Han, Qing-Long
    Zhang, Xian-Ming
    [J]. IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2019, 15 (07) : 3910 - 3922
  • [8] Dynamic Triggering Mechanisms for Event-Triggered Control
    Girard, Antoine
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (07) : 1992 - 1997
  • [9] Hilger S., 1988, Ph.D. thesis
  • [10] Scale-Limited Activating Sets and Multiperiodicity for Threshold-Linear Networks on Time Scales
    Huang, Zhenkun
    Raffoul, Youssef N.
    Cheng, Chang-Yuan
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2014, 44 (04) : 488 - 499