Stabilization of a Class of Uncertain Nonlinear System via Fractional Sliding Mode Controller

被引：2
|
作者：
Guo, Yuxiang [1 ]
Ma, Baoli [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
来源：
PROCEEDINGS OF 2016 CHINESE INTELLIGENT SYSTEMS CONFERENCE, VOL I | 2016年 / 404卷
关键词：
Caputo derivative; Integer-order dynamical systems; Fractional sliding manifold; Stable;
D O I：
10.1007/978-981-10-2338-5_34
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, a novel fractional sliding mode control scheme is suggested to stabilize a second-order uncertain nonlinear system. The proposed sliding manifolds, which will converge to the origin in finite time by utilizing a classical quadratic Lyapunov function, ensures the reduction of the chattering phenomenon during the control process. Based on Lyapunov's stability theorem, the closed-loop system can be stabilized to the origin in the future time. Some results about the control and stabilization of such nonlinear systems, when the fractional sliding mode controller is used, are illustrated in this paper. Finally, an example with numerical simulations is provided to show the validity and feasibility of the proposed method.
引用
收藏
页码：345 / 355
页数：11
相关论文
共 50 条
  • [31] Uncertainty and disturbance estimator based robust synchronization for a class of uncertain fractional chaotic system via fractional order sliding mode control
    Deepika, Deepika
    Kaur, Sandeep
    Narayan, Shiv
    CHAOS SOLITONS & FRACTALS, 2018, 115 : 196 - 203
  • [32] Robust H∞ Stabilization of a Nonlinear Uncertain System via a Stable Nonlinear Output Feedback Controller
    Harno, Hendra G.
    Petersen, Ian R.
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 3693 - 3699
  • [33] Force control of an uncertain series elastic actuator system via a fuzzy sliding mode controller and a nonlinear state estimator
    Moafi, Seyed Ali
    Najafi, Farid
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2020, 234 (04) : 462 - 471
  • [34] Fuzzy fractional order sliding mode controller for nonlinear systems
    Delavari, H.
    Ghaderi, R.
    Ranjbar, A.
    Momani, S.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (04) : 963 - 978
  • [35] Different types of sliding mode controller for nonlinear fractional multi-Agent system
    Sharafian, Amin
    Sharifi, Alireza
    Zhang, Weidong
    CHAOS SOLITONS & FRACTALS, 2020, 131
  • [36] A new fractional-order sliding mode controller via a nonlinear disturbance observer for a class of dynamical systems with mismatched disturbances
    Pashaei, Shabnam
    Badamchizadeh, Mohammadali
    ISA TRANSACTIONS, 2016, 63 : 39 - 48
  • [37] Adaptive Sliding Mode Control for a Class of Uncertain Nonlinear Systems
    Duan, Hongjun
    Li, Qingwei
    ICIEA: 2009 4TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS, VOLS 1-6, 2009, : 598 - +
  • [38] Stabilization of Sliding Mode Controller for Uncertain Discrete-Time-Delayed Nonlinear Systems using Descriptor Approach
    Chaudhari, Anshu
    Deolia, Vinay Kumar
    Goyal, Vishal
    PROCEEDINGS OF 2016 INTERNATIONAL CONFERENCE ON ADVANCED COMMUNICATION CONTROL AND COMPUTING TECHNOLOGIES (ICACCCT), 2016, : 458 - 461
  • [39] Robust stabilization of a class of uncertain time delay systems in sliding mode
    Luo, NS
    DelaSen, M
    Rodellar, J
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1997, 7 (01) : 59 - 74
  • [40] Adaptive sliding mode control for a class of uncertain nonlinear fractional-order Hopfield neural networks
    Meng, Bo
    Wang, Zhicheng
    Wang, Zhen
    AIP ADVANCES, 2019, 9 (06)
12345