L2-GAIN ANALYSIS OF NONLINEAR-SYSTEMS AND NONLINEAR STATE FEEDBACK-H-INFINITY CONTROL

被引:1072
|
作者
VANDERSCHAFT, AJ
机构
[1] Department of Applied Mathematics, University of Twente, Ensched
关键词
D O I
10.1109/9.256331
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Previously obtained results on L2-gain analysis of smooth nonlinear systems are unified and extended using an approach based on Hamilton-Jacobi equations and inequalities, and their relation to invariant manifolds of an associated Hamiltonian vector field. Based upon these results aa nonlinear analog is obtained of the simplest part of the recently developed state-space approach to linear H(infinity) control, namely the state feedback H(infinity) optimal control problem. Furthermore, the relation with H(infinity) control of the linearized system is dealt with.
引用
收藏
页码:770 / 784
页数:15
相关论文
共 50 条
  • [1] L2-gain analysis and state feedback H infinity control for a class of nonlinear differential-algebraic systems
    Zhu, Jian-Dong
    Cheng, Zhao-Lin
    Li, Shu-Rong
    Kongzhi Lilun Yu Yinyong/Control Theory and Applications, 2002, 19 (05):
  • [2] Neural controllers for nonlinear state feedback L2-gain control
    Ahmed, MS
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2000, 147 (03): : 239 - 246
  • [3] Nonlinear systems with nonlinear L2-gain
    Dower, Peter M.
    Kellett, Christopher M.
    2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 777 - 782
  • [4] Global L2-gain state feedback design for a class of nonlinear systems
    Isidori, A
    Lin, W
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 2831 - 2836
  • [5] H-INFINITY CONTROL FOR NONLINEAR-SYSTEMS WITH OUTPUT-FEEDBACK
    BALL, JA
    HELTON, JW
    WALKER, ML
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (04) : 546 - 559
  • [6] Nonlinear L2-gain verification for nonlinear systems
    Dower, Peter M.
    Zhang, Huan
    Kellett, Christopher M.
    SYSTEMS & CONTROL LETTERS, 2012, 61 (04) : 563 - 572
  • [7] H-INFINITY CONTROL ANALYSIS AND DESIGN FOR NONLINEAR-SYSTEMS
    KATEBI, MR
    ZHANG, Y
    INTERNATIONAL JOURNAL OF CONTROL, 1995, 61 (02) : 459 - 474
  • [8] ROBUST STABILIZATION OF NONLINEAR-SYSTEMS BY H-INFINITY, STATE-FEEDBACK
    IMURA, JI
    MAEDA, H
    SUGIE, T
    YOSHIKAWA, T
    SYSTEMS & CONTROL LETTERS, 1995, 24 (02) : 103 - 114
  • [9] State-Constrained Nonlinear L2-Gain Control
    Wu, Jenq-Lang
    Chou, Yung-Shan
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (02) : 771 - 777
  • [10] L2-Gain Analysis of a Global Nonlinear H∞ Control for Robot Manipulators
    Osuna Altamirano, Topacio
    Aguilar, Luis T.
    IFAC PAPERSONLINE, 2022, 55 (25): : 205 - 210