Global Stabilization of a Class of Invertible MIMO Nonlinear Systems

被引:22
|
作者
Wang, Lei [1 ]
Isidori, Alberto [2 ]
Su, Hongye [1 ]
机构
[1] Zhejiang Univ, Inst Cyber Syst & Control, State Key Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China
[2] Univ Roma La Sapienza, Dept Comp Control & Management Engn, I-00185 Rome, Italy
基金
中国国家自然科学基金;
关键词
Inversion algorithm; ISS systems; MIMO nonlinear systems; minimum-phase systems; nonlinear observers; normal forms; stabilization; structure algorithm; OUTPUT-FEEDBACK STABILIZATION; INPUT STABILITY;
D O I
10.1109/TAC.2014.2357912
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we consider the class of input-affine MIMO nonlinear systems which are assumed to be invertible and input-output linearizable. This class includes, as a trivial special case, the class of MIMO systems possessing a well-defined vector relative degree. It is shown that if a system in this class is strongly minimum phase, in a sense specified in the paper, it is globally stabilizable via partial-state feedback or semiglobally stabilizable via (dynamic) output feedback. The result substantially broadens the class of nonlinear MIMO systems for which global/semiglobal stabilization via limited state information is known to be possible.
引用
收藏
页码:616 / 631
页数:16
相关论文
共 50 条
  • [1] Global Output Feedback Stabilization of a Class of MIMO Nonlinear Systems
    Vu, Long T.
    Nguyen, Phuoc D.
    ECTI-CON 2008: PROCEEDINGS OF THE 2008 5TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING/ELECTRONICS, COMPUTER, TELECOMMUNICATIONS AND INFORMATION TECHNOLOGY, VOLS 1 AND 2, 2008, : 593 - 596
  • [2] Global Finite Time Stabilization of a Class of Uncertain MIMO Nonlinear Systems
    Abooee, Ali
    Moravej-Khorasani, Masoud
    Haeri, Mohammad
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2016, 138 (02):
  • [3] Global Output Feedback Stabilization for a Class of MIMO Nonlinear Systems With Coupling Nonlinearities
    Yin, Xian-Long
    Li, Xia
    Sun, Zong-Yao
    Chen, Chih-Chiang
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2025,
  • [4] Global Stabilization of A Class of Uncertain Nonlinear Systems
    Wang, Dingchao
    Lin, Yuhang
    Lin, Cong
    Meng, Linxin
    Cai, Xiushan
    2022 41ST CHINESE CONTROL CONFERENCE (CCC), 2022, : 3545 - 3549
  • [5] Global quadratic stabilization of a class of nonlinear systems
    Nguang, SK
    Fu, MY
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1998, 8 (06) : 483 - 497
  • [6] Nonlinear output regulation for invertible nonlinear MIMO systems
    Wang, Lei
    Isidori, Alberto
    Su, Hongye
    Marconi, Lorenzo
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (11) : 2401 - 2417
  • [7] Global stabilization for a class of switched nonlinear feedforward systems
    Long, Lijun
    Zhao, Jun
    SYSTEMS & CONTROL LETTERS, 2011, 60 (09) : 734 - 738
  • [8] GLOBAL STABILIZATION OF A CERTAIN CLASS OF NONLINEAR-SYSTEMS
    SEIBERT, P
    SUAREZ, R
    SYSTEMS & CONTROL LETTERS, 1991, 16 (01) : 17 - 23
  • [9] Global adaptive stabilization for a class of feedforward nonlinear systems
    Ye, X
    Unbehauen, H
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) : 786 - 792
  • [10] Global stabilization of a class of cascade switched nonlinear systems
    Zhao, SZ
    Zhao, J
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 2817 - 2822