Delay-dependent criteria for robust stability and stabilization of fractional-order time-varying delay systems

被引：16
作者：
Jin, Xiao-Chuang [1 ,2 ]
Lu, Jun-Guo [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China
来源：
EUROPEAN JOURNAL OF CONTROL | 2022年 / 67卷
基金：
中国国家自然科学基金;
关键词：
Fractional-order system; Time-varying delay; Lyapunov Razumikhin theorem; Robust stabilization; LYAPUNOV FUNCTIONS; DIFFERENTIAL-SYSTEMS;
D O I：
10.1016/j.ejcon.2022.100704
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the robust stability and stabilization problems for fractional-order time-varying delay systems are investigated. Firstly, a new fractional-order Razumikhin theorem is given. By using the proposed fractional-order Razumikhin theorem, novel delay-dependent stability conditions for both nominal and uncertain linear fractional-order time-varying delay systems are derived. The results are in form of linear matrix inequalities, which are convenient for application and calculation. Then, the obtained stability conditions are utilized to derive a state feedback stabilization controller. To tackle the computational difficulty of the controller design method, a local optimization algorithm is proposed. Finally, three examples are provided to illustrate that the proposed results are valid and less conservative. (C) 2022 European Control Association. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页数：12
相关论文
共 50 条
  • [21] New Delay-dependent stability criteria for neutral systems with time-varying delay using delay-decomposition approach
    Ge, Chao
    Hua, Chang-Chun
    Guan, Xin-Ping
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2014, 12 (04) : 786 - 793
  • [22] New delay-dependent absolute stability criteria for Lur'e systems with time-varying delay
    Chen, Yonggang
    Bi, Weiping
    Li, Wenlin
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2011, 42 (07) : 1105 - 1113
  • [23] Delay-dependent Absolute Stability Criteria for Lur'e singular Systems with Time-varying Delay
    Wang Huijiao
    Xue Anke
    Lu Renquan
    [J]. PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 105 - +
  • [24] Novel delay-dependent stability criteria of neural networks with time-varying delay
    Chen, Yonggang
    Wu, Yuanyuan
    [J]. NEUROCOMPUTING, 2009, 72 (4-6) : 1065 - 1070
  • [25] A Delay-dependent Stability Criterion for A Class of Systems With Time-varying Delay
    Jiang, Xiefu
    Yang, Shuai
    [J]. PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 2296 - 2299
  • [26] New delay-dependent stability criteria for neural networks with time-varying delay
    He, Yong
    Liu, Guoping
    Rees, D.
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (01): : 310 - 314
  • [27] Robust functional observer design for uncertain fractional-order time-varying delay systems
    Boukal, Y.
    Zasadzinski, M.
    Darouach, M.
    Radhy, N. E.
    [J]. 2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, : 2741 - 2746
  • [28] Robust synchronization of uncertain fractional-order chaotic systems with time-varying delay
    Ardashir Mohammadzadeh
    Sehraneh Ghaemi
    [J]. Nonlinear Dynamics, 2018, 93 : 1809 - 1821
  • [29] Robust synchronization of uncertain fractional-order chaotic systems with time-varying delay
    Mohammadzadeh, Ardashir
    Ghaemi, Sehraneh
    [J]. NONLINEAR DYNAMICS, 2018, 93 (04) : 1809 - 1821
  • [30] Delay-dependent criteria for robust stability of linear uncertain systems with multiple time-varying state delays
    Kao, YG
    Gao, CC
    [J]. 2005 INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), VOLS 1 AND 2, 2005, : 1254 - 1257
12345