On Feedback Capability in a Class of Nonlinearly Parameterized Uncertain Systems

被引：14
|
作者：
Li, Chanying [1 ]
Guo, Lei [2 ]
机构：
[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[2] Chinese Acad Sci, AMSS, Key Lab Syst & Control, Inst Syst Sci, Beijing 100190, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Feedback capability; global stabilization; nonlinear systems; parameterized uncertainty; ADAPTIVE-CONTROL; AUTOREGRESSIVE MODELS; STABILITY;
D O I：
10.1109/TAC.2011.2160599
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 technical note, we will investigate the maximum capability and limitations of the feedback mechanism in globally stabilizing a basic class of discrete-time nonlinearly parameterized dynamical systems with multiple unknown parameters. Both "possibility" and "impossibility" theorems together with a fairly complete characterization on the capability of feedback will be presented. It will be seen that to characterize the feedback capability, the growth rates of the sensitivity functions of the nonlinear dynamics with respect to the uncertain parameters play a crucial role, and a suitable decomposition of the family of the nonlinearly parameterized functions in question turns out to be necessary.
引用
收藏
页码：2944 / 2950
页数：7
相关论文
共 50 条
  • [1] Repetitive Learning Control for a Class of Nonlinearly Parameterized Uncertain Systems
    Sun, Yunping
    Li, Junmin
    Wang, Yuanliang
    Zhao, Weiping
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 8116 - 8121
  • [2] Adaptive learning control for a class of nonlinearly parameterized uncertain systems
    Fang, Y
    Xiao, X
    Ma, B
    Lu, G
    ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, : 196 - 201
  • [3] Systematic design of supervisory controllers for a class of uncertain nonlinearly parameterized systems
    Wang, Yutian
    Liu, Tengfei
    Jiang, Zhong-Ping
    AUTOMATICA, 2022, 135
  • [4] On feedback capability for a class of semiparametric uncertain systems
    Huang, Chaodong
    Guo, Lei
    AUTOMATICA, 2012, 48 (05) : 873 - 878
  • [5] Robust Adaptive Control of A Class of Nonlinearly Parameterized Time-Varying Uncertain Systems
    Wang, Jing
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 1940 - 1945
  • [6] FEEDBACK STABILIZATION OF A CLASS OF NONLINEARLY COUPLED UNCERTAIN DYNAMIC-SYSTEMS
    GOODALL, DP
    RYAN, EP
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 1991, 8 (01) : 81 - 92
  • [7] Adaptive Finite-Time Control Design for a Class of Uncertain Nonlinearly Parameterized Switched Systems
    Wu, Jian
    Yang, Xiaoli
    Zhang, Chunsheng
    Li, Jing
    IEEE ACCESS, 2019, 7 : 95941 - 95949
  • [8] Adaptive output feedback tracking control for a class of nonlinearly parameterised uncertain systems
    Yan, Shuai
    Sun, Weichao
    He, Fenghua
    INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (05) : 1174 - 1187
  • [9] Adaptive Estimation for a Class of Nonlinearly Parameterized Dynamical Systems
    Adetola, Veronica
    Guay, Martin
    Lehrer, Devon
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (10) : 2818 - 2824
  • [10] Adaptive observers for nonlinearly parameterized class of nonlinear systems
    Farza, M.
    M'Saad, M.
    Maatoug, T.
    Kamoun, M.
    AUTOMATICA, 2009, 45 (10) : 2292 - 2299
12345