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
  • [31] Global normal forms for MIMO nonlinear systems, with application to stabilization and disturbance attenuation
    Schwartz, B
    Isidori, A
    Tarn, TJ
    PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 1041 - 1046
  • [32] Global Normal Forms for MIMO Nonlinear Systems, with Applications to Stabilization and Disturbance Attenuation
    B. Schwartz
    A. Isidori
    T. J. Tarn
    Mathematics of Control, Signals and Systems, 1999, 12 : 121 - 142
  • [33] Global stabilization of a class of nonlinear systems with polynomial nonlinearities by output feedback
    Wang, Xuhuan
    Peng, Youhua
    Liu, Taide
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2020, 14 (01): : 148 - 154
  • [34] Decentralized global output feedback stabilization for a class of uncertain nonlinear systems
    Ai, Wei-qing
    Zhai, Jun-yong
    Fei, Shu-min
    Zha, Wen-ting
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2013, 35 (06) : 777 - 787
  • [35] Global finite-time stabilization of a class of inherently nonlinear systems
    Ma Li
    Ding Shihong
    Da Feipeng
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 824 - 829
  • [36] Global Asymptotic Stabilization Control for a Class of Nonlinear Systems with Dynamic Uncertainties
    Yu, Jiangbo
    Wang, Jizhong
    Zhang, Zhongcai
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [37] Global Output Feedback Stabilization of a Class of Nonlinear Systems With Multiple Output
    Qian, Chunjiang
    Gong, Qi
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2013, 135 (04):
  • [38] Global Stabilization of a Class of Uncertain Nonlinear Systems Using Output Feedback
    Alimhan, K.
    Inaba, H.
    IECON 2004: 30TH ANNUAL CONFERENCE OF IEEE INDUSTRIAL ELECTRONICS SOCIETY, VOL 2, 2004, : 1295 - 1298
  • [39] Output Feedback Global Stabilization for a Class of Nonlinear Systems with Unmodelled Dynamics
    Jiang, Zhong-Ping
    Mareels, Iven M. Y.
    Pomet, Jean-Baptiste
    EUROPEAN JOURNAL OF CONTROL, 1996, 2 (03) : 201 - 210
  • [40] Global exponential stabilization for a class of uncertain nonlinear systems with control constraint
    Sun, YJ
    Lien, CH
    Hsieh, JG
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) : 674 - 677