Backstepping control for fractional discrete-time systems

被引：3
作者：
Yao, Yu [1 ]
Wu, Li-Bing [1 ]
机构：
[1] Univ Sci & Technol Liaoning, Sch Sci, Anshan 114051, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 434卷
关键词：
Fractional difference; Lyapunov function; Backstepping control; Strict-feedback discrete-time systems; ADAPTIVE-CONTROL; SYNCHRONIZATION; CALCULUS;
D O I：
10.1016/j.amc.2022.127450
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a backstepping control for a class of single-input-single-output (SISO) strict-feedback fractional discrete-time systems for the first time. By tracking state vari-ables in error functions, the stability criterion is used to design a controller such that the closed-loop system is stable. Finally, two simulation examples are demonstrated. By using different fractional order parameters, the fractional discrete-time system is stable and the effectiveness of the proposed controller is verified. (c) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页数：11
相关论文
共 50 条
  • [21] Discrete-time control of bilateral teleoperation systems: a review
    Ghavifekr, Amir Aminzadeh
    Ghiasi, Amir Rikhtehgar
    Badamchizadeh, Mohammad Ali
    ROBOTICA, 2018, 36 (04) : 552 - 569
  • [22] Robust adaptive control of uncertain discrete-time systems
    Zhang, Y
    Wen, CY
    Soh, YC
    AUTOMATICA, 1999, 35 (02) : 321 - 329
  • [23] Adaptive LQ Control for Discrete-Time Stochastic Systems
    陈翰馥
    Science China Mathematics, 1993, (09) : 1140 - 1152
  • [24] Time-delayed impulsive control for discrete-time nonlinear systems with actuator saturation
    Li, Liangliang
    Li, Chuandong
    Zhang, Wei
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (05): : 804 - 818
  • [25] Stabilization and tracking controller for a class of nonlinear discrete-time systems
    Sharma, B. B.
    Kar, I. N.
    CHAOS SOLITONS & FRACTALS, 2011, 44 (10) : 902 - 913
  • [26] Adaptive Control for Discrete-Time Systems with Time-Varying Delay
    Han Cunwu
    Sun Dehui
    Bi Song
    MECHATRONICS ENGINEERING, COMPUTING AND INFORMATION TECHNOLOGY, 2014, 556-562 : 2289 - 2292
  • [27] Robust Stability and Control of Discrete-Time Uncertain Impulsive Systems with Time-Varying Delay
    Zhang, Yu
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2016, 35 (11) : 3882 - 3912
  • [28] Discrete-time advanced PID control systems for unknown time delay systems and their applications
    Yamamoto, T
    Oki, T
    Kaneda, M
    ELECTRICAL ENGINEERING IN JAPAN, 1997, 118 (03) : 50 - 57
  • [29] ALMOST PASSIVITY AND SIMPLE ADAPTIVE CONTROL IN DISCRETE-TIME SYSTEMS
    Barkana, Itzhak
    Rusnak, Ilan
    Weiss, Haim
    ASIAN JOURNAL OF CONTROL, 2014, 16 (04) : 947 - 958
  • [30] Adaptive fuzzy logic control of discrete-time dynamical systems
    Jagannathan, S
    Vandegrift, MW
    Lewis, FL
    AUTOMATICA, 2000, 36 (02) : 229 - 241
12345