Stable adaptive control for nonlinear multivariable systems with a triangular control structure

被引:95
|
作者
Ge, SS [1 ]
Hang, CC [1 ]
Zhang, T [1 ]
机构
[1] Natl Univ Singapore, Dept Elect Engn, Singapore 117576, Singapore
关键词
adaptive control; function approximation; Lyapunov function; multivariable systems; stability;
D O I
10.1109/9.863612
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 stable adaptive controller is developed for a class of nonlinear multivariable systems using nonlinearly parametrized function approximators. By utilizing the system triangular property, integral-type Lyapunov functions are introduced for deriving the control structure and adaptive laws without the need of estimating the "decoupling matrix" of the multivariable nonlinear system. It is shown that stability of the adaptive closed-loop system is guaranteed, and transient performance is analytically quantified by mean square and L-infinity tracking error bound criteria.
引用
收藏
页码:1221 / 1225
页数:5
相关论文
共 50 条
  • [1] ADAPTIVE-CONTROL OF NONLINEAR-SYSTEMS WITH A TRIANGULAR STRUCTURE
    SETO, DB
    ANNASWAMY, AM
    BAILLIEUL, J
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (07) : 1411 - 1428
  • [2] Fuzzy adaptive control of multivariable nonlinear systems
    Tong, SC
    Tang, JT
    Wang, T
    FUZZY SETS AND SYSTEMS, 2000, 111 (02) : 153 - 167
  • [3] Fuzzy adaptive control of multivariable nonlinear systems
    Goléa, N
    Goléa, A
    PROCEEDINGS OF THE 2002 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOL 1 & 2, 2002, : 330 - 334
  • [4] Adaptive control of triangular systems with nonlinear parameterization
    Ding, ZT
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (12) : 1963 - 1968
  • [5] Stable multiple model adaptive control of nonlinear multivariable discrete-time systems
    Fu, Yue
    Chai, Tianyou
    Wang, Hong
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 5162 - +
  • [6] Adaptive fuzzy control for a class of multivariable nonlinear systems
    Liu, Yan-Jun
    Wang, Wei
    Zidonghua Xuebao/Acta Automatica Sinica, 2007, 33 (11): : 1163 - 1169
  • [7] Adaptive actuator compensation control for multivariable nonlinear systems
    Tao, G
    Ma, XL
    PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 2664 - 2668
  • [8] Adaptive control for nonlinear time-delay systems with low triangular structure
    Li, GW
    Zang, CZ
    Liu, XP
    PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 604 - 608
  • [9] Adaptive Backstepping Control for a Class of Non-Triangular Structure Nonlinear Systems
    Cai, Jianping
    Qian, Feng
    Yu, Rui
    Shen, Lujuan
    IEEE ACCESS, 2020, 8 : 76093 - 76099
  • [10] Dynamic Structure Neural Network for Stable Adaptive Control of Nonlinear Systems
    Lei, Jingye
    ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT III, 2011, 6677 : 104 - 111