Lagrange stability of a class of nonlinear discrete-time systems

被引：0
|
作者：
Yang, Y. [1 ]
Huang, L. [1 ]
机构：
[1] Peking Univ, State Key Lab Turbulence & Complex Syst, Dept Mech & Engn Sci, Beijing 100871, Peoples R China
来源：
ICIEA 2006: 1ST IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS, VOLS 1-3, PROCEEDINGS | 2006年
基金：
美国国家科学基金会;
关键词：
D O I：
暂无
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, a new method for robust Lagrange stability analysis of a class of nonlinear discrete-time systems is proposed. Both the linear part structured and unstructured uncertainties are considered in a unified way. Sufficient conditions for robust Lagrange stability are established in terms of linear matrix inequalities (LMIs). With this LMI approach, the. largest allowable magnitude of the. admissible perturbation was given explicitly by solving a generalized eigenvalue minimization problem which is essentially a convex optimization problem and numerically efficient. Illustrative example confirmed the efficiency and accuracy of the proposed approach.
引用
收藏
页码：353 / 358
页数：6
相关论文
共 50 条
  • [41] A new method for stabilization of a class of nonlinear discrete-time systems
    Yang, Yino
    Huang, Lin
    2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 87 - +
  • [42] On the Fuzzy Discrete-Time AILC for a Class of Nonlinear MIMO Systems
    Wang, Ying-Chung
    Chien, Chiang-Ju
    Chi, Ronghu
    2013 CACS INTERNATIONAL AUTOMATIC CONTROL CONFERENCE (CACS), 2013, : 401 - +
  • [43] ANALYSIS OF A CLASS OF NONLINEAR DISCRETE-TIME SYSTEMS BY VOLTERRA SERIES
    FU, FC
    FARISON, JB
    INTERNATIONAL JOURNAL OF CONTROL, 1973, 18 (03) : 545 - 551
  • [44] AFMBC for a Class of Nonlinear Discrete-Time Systems with Dead Zone
    Singh, Uday Pratap
    Jain, Sanjeev
    Gupta, Rajendra Kumar
    Tiwari, Akhilesh
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2019, 21 (04) : 1073 - 1084
  • [45] Stabilization and tracking controller for a class of nonlinear discrete-time systems
    Sharma, B. B.
    Kar, I. N.
    CHAOS SOLITONS & FRACTALS, 2011, 44 (10) : 902 - 913
  • [46] Robust H∞ filtering for a class of discrete-time nonlinear systems
    Lee, S. M.
    Ji, D. H.
    Kwon, O. M.
    Park, Ju H.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (20) : 7991 - 7997
  • [47] Stabilization and tracking control for a class of discrete-time nonlinear systems
    Lashari, Muhammad Afzal
    Zia, Qamar
    Rehan, Muhammad
    2015 12TH INTERNATIONAL BHURBAN CONFERENCE ON APPLIED SCIENCES AND TECHNOLOGY (IBCAST), 2015, : 152 - 156
  • [48] Adaptive control of a class of discrete-time affine nonlinear systems
    Xie, LL
    Guo, L
    SYSTEMS & CONTROL LETTERS, 1998, 35 (03) : 201 - 206
  • [49] Observers Design for a Class of Nonlinear Stochastic Discrete-Time Systems
    Miao, Xiu-feng
    Xu, Yao-qun
    Yao, Feng-ge
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2021, 60 (07) : 2604 - 2612
  • [50] Adaptive fuzzy control for a class of discrete-time nonlinear systems
    Han, HG
    Su, CY
    Murakami, S
    10TH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3: MEETING THE GRAND CHALLENGE: MACHINES THAT SERVE PEOPLE, 2001, : 892 - 895
12345