Sliding Mode Control for Uncertain Fractional-Order Systems with Time-Varying Delays

被引：3
|
作者：
Ren, Zhiguo [1 ]
Tong, Dongbing [1 ,2 ]
Chen, Qiaoyu [1 ]
Zhou, Wuneng [3 ]
机构：
[1] Shanghai Univ Engn Sci, Coll Elect & Elect Engn, Shanghai 201620, Peoples R China
[2] Guangxi City Vocat Univ, Coll Informat Engn, Nanning 532100, Guangxi, Peoples R China
[3] Donghua Univ, Coll Informat Sci & Technol, Shanghai 200051, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2024年 / 43卷 / 06期
关键词：
Fractional order systems; Sliding mode control; Asymptotic stability; Time-varying delays; SYNCHRONIZATION; NETWORKS; NOISE;
D O I：
10.1007/s00034-024-02643-z
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This article investigates the asymptotic stability of fractional-order (FO) systems with uncertainty and time-varying delay based on the sliding mode control (SMC) method. First, based on the SMC method, a suitable integral type fractional-order sliding mode surface (FOSMS) is designed and the dynamic equations of FO systems under SMC are obtained. Second, by inequality techniques, the condition for asymptotic stability of the FO system has been mathematically established. Then, a novel adaptive SMC law is introduced, which can make sure the accessibility of sliding mode surfaces (SMS). Finally, the feasibility of the results obtained in this paper is verified through a simulation.
引用
收藏
页码：3979 / 3995
页数：17
相关论文
共 50 条
  • [31] Finite-time fractional-order adaptive intelligent backstepping sliding mode control of uncertain fractional-order chaotic systems
    Bigdeli, Nooshin
    Ziazi, Hossein Alinia
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (01): : 160 - 183
  • [32] Sliding-Mode Synchronization Control for Uncertain Fractional-Order Chaotic Systems with Time Delay
    Liu, Haorui
    Yang, Juan
    ENTROPY, 2015, 17 (06): : 4202 - 4214
  • [33] DECENTRALIZED GUARANTEED COST CONTROL OF FRACTIONAL-ORDER LINEAR INTERCONNECTED SYSTEMS WITH TIME-VARYING DELAYS
    Nguyen, Phuong
    Mai, Thuan
    Nguyen, Thanh
    Nguyen, Giang
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2025,
  • [34] Event-triggered guaranteed cost control for uncertain polytopic fractional-order systems subject to unknown time-varying delays
    Huong, Dinh Cong
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (03) : 917 - 928
  • [35] Event-triggered guaranteed cost control for uncertain polytopic fractional-order systems subject to unknown time-varying delays
    Dinh Cong Huong
    Rendiconti del Circolo Matematico di Palermo Series 2, 2024, 73 : 917 - 928
  • [36] Fractional-Order Sliding Mode Load Frequency Control and Stability Analysis for Interconnected Power Systems With Time-Varying Delay
    Yang, Fan
    Shen, Yanbo
    Li, Dongdong
    Lin, Shunfu
    Muyeen, S. M.
    Zhai, Haibao
    Zhao, Jian
    IEEE TRANSACTIONS ON POWER SYSTEMS, 2024, 39 (01) : 1006 - 1018
  • [37] Sliding mode control for uncertain fractional-order reaction-diffusion memristor neural networks with time delays
    Cao, Yue
    Kao, Yonggui
    Wang, Zhen
    Yang, Xinsong
    Park, Ju H.
    Xie, Wei
    NEURAL NETWORKS, 2024, 178
  • [38] A Descriptor System Approach to Discrete-Time Sliding Mode Control for Uncertain Systems with Time-Varying Delays
    Yan, Maode
    Mehr, Aryan Saadat
    Shi, Yang
    PROCEEDINGS OF THE 2008 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL, 2008, : 144 - +
  • [39] H∞ Observer-Based Sliding Mode Control for Uncertain Stochastic Systems with Time-Varying Delays
    Zhang, Peng
    Kao, Yonggui
    Zhu, Jingyan
    Li, Wei
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [40] Robust sliding mode control for uncertain discrete singular systems with time-varying delays and external disturbances
    Han, Yueqiao
    Kao, Yonggui
    Gao, Cunchen
    AUTOMATICA, 2017, 75 : 210 - 216
12345