Controller Design for A Class of Switched Nonlinear Systems Based on Fractional Order Backstepping

被引：0
|
作者：
Zhao Yuhan [1 ]
Lu Xin [1 ]
Xu Jun [1 ]
Chen Ning [1 ]
机构：
[1] Nanjing Forestry Univ, Coll Mech & Elect Engn, Nanjing 210037, Jiangsu, Peoples R China
来源：
2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2017年
关键词：
fractional order; Backstepping; switched nonlinear systems; multi-Lyapunov functions; HYBRID SYSTEMS; STABILITY;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A fractional order control strategy for the switched nonlinear systems is presented in this paper. The fractional calculus is applied in the Backstepping control method. By constructing a virtual feedback variable, a fractional order feedback control law is proposed, and the switching law is established based on multi-Lyapunov functions. The state feedback controllers and switching law can guarantee the system's asymptotic stability. The simulation result shows the effectiveness of the proposed control strategy.
引用
收藏
页码：3682 / 3685
页数：4
相关论文
共 50 条
  • [21] Discrete fractional order PID controller design for nonlinear systems
    Li, Zhijie
    Ding, Jie
    Wu, Min
    Lin, Jinxing
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2021, 52 (15) : 3206 - 3213
  • [22] A backstepping controller design technique for a class of cascaded nonlinear systems with unknown dynamics
    Guay, Martin
    Atta, Khalid Tourkey
    2019 AMERICAN CONTROL CONFERENCE (ACC), 2019, : 3093 - 3098
  • [23] Backstepping based stabilization and synchronization of a class of fractional order chaotic systems
    Shukla, Manoj Kumar
    Sharma, B. B.
    CHAOS SOLITONS & FRACTALS, 2017, 102 : 274 - 284
  • [24] Adaptive Decentralized Controller Design for a Class of Switched Interconnected Nonlinear Systems
    Zhai, Ding
    Liu, Xuan
    Liu, Yan-Jun
    IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (04) : 1644 - 1654
  • [25] Passivity-based global stabilization of a class of switched nonlinear systems by backstepping
    Pang Hongbo
    Jun, Zhao
    Georgi, Dimrovski M.
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 4107 - 4112
  • [26] Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems
    Li, Ruihong
    Chen, Weisheng
    NONLINEAR DYNAMICS, 2014, 76 (01) : 785 - 795
  • [27] Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems
    Ruihong Li
    Weisheng Chen
    Nonlinear Dynamics, 2014, 76 : 785 - 795
  • [28] Non-fragile nonlinear fractional order observer design for a class of nonlinear fractional order systems
    Boroujeni, Elham Amini
    Momeni, Hamid Reza
    SIGNAL PROCESSING, 2012, 92 (10) : 2365 - 2370
  • [29] Variable structure based robust backstepping controller design for nonlinear systems
    Peng, Chao-Chung
    Hsue, Albert Wen-Jeng
    Chen, Chieh-Li
    NONLINEAR DYNAMICS, 2011, 63 (1-2) : 253 - 262
  • [30] Variable structure based robust backstepping controller design for nonlinear systems
    Chao-Chung Peng
    Albert Wen-Jeng Hsue
    Chieh-Li Chen
    Nonlinear Dynamics, 2011, 63 : 253 - 262
12345