A NOVEL CONTROLLER FOR A CLASS OF NONLINEAR SYSTEMS VIA IMMERSION AND INVARIANCE

被引:0
|
作者
Li, Shengtao [1 ]
Liu, Xiaomei [2 ]
Dong, Xiujuan [1 ]
Ding, Yuanwei [1 ]
Liu, Xiaoping [1 ]
机构
[1] Northeastern Univ, Sch Informat Sci & Engn, 11,Lane 3,Wenhua Rd, Shenyang 110004, Liaoning, Peoples R China
[2] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Nonlinear system; Immersion and invariance; State-feedback stabilization;
D O I
暂无
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, we address the problem of immersion and invariance (I&I) control for a class of nonlinear systems. Based on selection of target system, a novel controller is obtained, which efficiently avoids choosing Lyapunov function. The designed controller guarantees that all trajectories of the closed-loop systems are asymptotically stable. The efficiency and effectiveness of the proposed method is demonstrated by a practical example.
引用
收藏
页码:3463 / 3470
页数:8
相关论文
共 50 条
  • [2] Adaptive control of a class of time-varying nonlinear systems via immersion and invariance
    Liang, Xu
    Su, Tingting
    Liu, Shengda
    He, Guangping
    SCIENCE PROGRESS, 2022, 105 (03)
  • [3] Chaotification of nonlinear discrete systems via immersion and invariance
    Xie, Qiyue
    Han, Zhengzhi
    Zhang, Wei
    Wang, Hua
    NONLINEAR DYNAMICS, 2011, 65 (04) : 467 - 475
  • [4] Chaotification of nonlinear discrete systems via immersion and invariance
    Qiyue Xie
    Zhengzhi Han
    Wei Zhang
    Hua Wang
    Nonlinear Dynamics, 2011, 65 : 467 - 475
  • [5] Stabilization of uncertain nonlinear systems via immersion and invariance
    Astolfi, Alessandro
    Karagiannis, Dimitrios
    Ortega, Romeo
    EUROPEAN JOURNAL OF CONTROL, 2007, 13 (2-3) : 204 - 220
  • [6] Immersion and invariance control of a class of nonlinear cascaded discrete systems
    Xie, Qiyue
    Wang, Xiaoli
    Han, Zhengzhi
    Zuo, Yi
    Tang, Mingzhu
    NEUROCOMPUTING, 2016, 171 : 1661 - 1665
  • [7] Stabilization of a class of nonlinear underactuated mechanical systems with 2-DOF via immersion and invariance
    Guadalupe Romero, Jose
    Gandarilla, Isaac
    Santibanez, Victor
    EUROPEAN JOURNAL OF CONTROL, 2022, 63 : 196 - 205
  • [8] Orbital stabilization of nonlinear systems via the immersion and invariance technique
    Ortega, Romeo
    Yi, Bowen
    Guadalupe Romero, Jose
    Astolfi, Alessandro
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (05) : 1850 - 1871
  • [9] Immersion and Invariance Adaptive Control for a Class of Nonlinear Systems With Uncertain Parameters
    Wang, Jian-Hui
    He, Guang-Ping
    Bian, Gui-Bin
    Yuan, Jun-Jie
    Geng, Shi-Xiong
    Zhang, Cheng-Jie
    Zhao, Cheng-Hao
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2024, 22 (09) : 2746 - 2757
  • [10] Immersion and Invariance Stabilization of Nonlinear Systems Via Virtual and Horizontal Contraction
    Wang, Lei
    Forni, Fulvio
    Ortega, Romeo
    Liu, Zhitao
    Su, Hongye
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (08) : 4017 - 4022