The stability and control of fractional-order system with distributed time delay

被引：0
|
作者：
Shao, Keyong [1 ]
Gu, Xiaofeng [1 ]
Yang, Guangyuan [1 ]
机构：
[1] Northeast Petr Univ, Sch Elect & Informat Engn, Daqing 163318, Peoples R China
来源：
IECON 2017 - 43RD ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY | 2017年
关键词：
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we study the stability of fractional order systems with distributed delays under Riemann-Liouville derivatives. First, the sufficient condition for stability of fractional-order system with distributed delays is presented by applying continuous frequency distributed equivalent model with indirect Lyapunov approach and combining Lyapunov-Krasovskii functionals with Jensen inequality. Next, using linear matrix inequality(LMI)techniques, the method of designing a state feedback controller is derived. Finally, the validity of the proposed methods is demonstrated by numerical examples.
引用
收藏
页码：6312 / 6316
页数：5
相关论文
共 50 条
  • [1] Stability and Stabilization of the Fractional-Order Power System With Time Delay
    Yu, Zhongming
    Sun, Yue
    Dai, Xin
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2021, 68 (11) : 3446 - 3450
  • [2] Novel stability results of multivariable fractional-order system with time delay
    Zhang, Zhe
    Wang, Yaonan
    Zhang, Jing
    Ai, Zhaoyang
    Liu, Feng
    CHAOS SOLITONS & FRACTALS, 2022, 157
  • [3] ASYMPTOTIC STABILITY ANALYSIS AND STABILIZATION CONTROL OF FRACTIONAL-ORDER VEHICLE SUSPENSION SYSTEM WITH TIME DELAY
    Zhang, Zhe
    Li, Xiaoyao
    Wang, Yaonan
    Liu, Min
    Zhang, Xiaogang
    Zhang, Jing
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (09)
  • [4] The stability and control of fractional nonlinear system with distributed time delay
    Hu, Jian-Bing
    Zhao, Ling-Dong
    Lu, Guo-Ping
    Zhang, Shi-Bing
    APPLIED MATHEMATICAL MODELLING, 2016, 40 (04) : 3257 - 3263
  • [5] Stability Analysis and Stabilization of Fractional-Order Systems With Distributed Delay
    Chen, Yi-Nan
    Lu, Jun-Guo
    Zhu, Zhen
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2025, 35 (05) : 1705 - 1718
  • [6] Stability Analysis of LTI Fractional-order Systems with Distributed Delay
    Pakzad, Mohammad Ali
    2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 5484 - 5489
  • [7] Finite-Time Stability of Fractional-Order BAM Neural Networks with Distributed Delay
    Cao, Yuping
    Bai, Chuanzhi
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [8] Fractional-Order Optimal Control of Fractional-Order Linear Vibration Systems with Time Delay
    Balochian, Saeed
    Rajaee, Nahid
    INTERNATIONAL JOURNAL OF SYSTEM DYNAMICS APPLICATIONS, 2018, 7 (03) : 72 - 93
  • [9] Stability Region of Fractional-Order PIλDμ Controller for Fractional-Order Systems with Time Delay
    Wu, Qunhong
    Ou, Linlin
    Ni, Hongjie
    Zhang, Weidong
    2012 12TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS & VISION (ICARCV), 2012, : 1767 - 1772
  • [10] Stability control of a novel multidimensional fractional-order financial system with time-delay via impulse control
    Zhang, Zhe
    Zhang, Jing
    Cheng, Fan Yong
    Liu, Feng
    Ding, Can
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (01) : 1 - 11
12345