New absolute stability criteria for time-delay Lur'e systems with sector-bounded nonlinearity

被引：17
|
作者：
Liu, Xian
Wang, Jinzhi [1 ]
Duan, Zhisheng
Huang, Lin
机构：
[1] Peking Univ, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2010年 / 20卷 / 06期
基金：
美国国家科学基金会;
关键词：
Absolute stability; delay-dependent criterion; frequency-domain inequality (FDI); linear matrix inequality (LMI); FREQUENCY-DOMAIN;
D O I：
10.1002/rnc.1460
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the problem of absolute stability of time-delay Lur'e systems with sector-bounded nonlinearity Several novel criteria are presented by using a Lur'e-Postnikov function For a general Lur'e system with known time delay. the absolute stability of it is analyzed by solving a set of linear matrix inequalities (LMIs) The maximum upper bound of the allowable time delay for a general Lure system is derived by solving a convex optimization problem The feasibility of the LMIs implies some frequency-domain interpretations which are similar to the frequency-domain inequalities in the circle criterion and the Popov criterion Copyright (C) 2009 John Wiley & Sons, Ltd
引用
收藏
页码：659 / 672
页数：14
相关论文
共 50 条
  • [1] Absolute stability of time-delay systems with sector-bounded nonlinearity
    Han, QL
    AUTOMATICA, 2005, 41 (12) : 2171 - 2176
  • [2] New absolute stability condition for time-delay systems with sector-bounded nonlinearity
    Wang, Yijing
    Zuo, Zhiqiang
    Zhang, Guoshan
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 5272 - 5275
  • [3] Delay-Dependent Stability Criteria for Uncertain Discrete-Time Lur'e Systems with Sector-Bounded Nonlinearity
    Krishnan, Ramakrishnan
    Ray, Goshaidas
    MATHEMATICAL MODELLING AND SCIENTIFIC COMPUTATION, 2012, 283 : 210 - 219
  • [4] Improved delay-range-dependent robust stability criteria for a class of Lur'e systems with sector-bounded nonlinearity
    Ramakrishnan, K.
    Ray, G.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (08): : 1769 - 1786
  • [5] Absolute exponential stability criteria of delay time-varying systems with sector-bounded nonlinearity: a comparison approach
    Son, Nguyen Khoa
    Hong, Nguyen Thi
    arXiv, 2022,
  • [6] Robust Stability Criteria for Uncertain Discrete-time Lur'e Systems with Time-Varying State-Delay and Sector-bounded Nonlinearity
    Ramakrishnan, K.
    Ray, G.
    2013 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS (CCA), 2013, : 643 - 648
  • [7] New Robust Stability Criteria for Lur’e Systems with Time-varying Delays and Sector-bounded Nonlinearities
    Wenyong Duan
    Yan Li
    Jian Chen
    Baozhu Du
    International Journal of Control, Automation and Systems, 2021, 19 : 596 - 606
  • [8] Synchronization criteria of time-delay feedback control system with sector-bounded nonlinearity
    Guo, Hongmei
    Zhong, Shouming
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (02) : 550 - 559
  • [9] New Robust Stability Criteria for Lur'e Systems with Time-varying Delays and Sector-bounded Nonlinearities
    Duan, Wenyong
    Li, Yan
    Chen, Jian
    Du, Baozhu
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2021, 19 (02) : 596 - 606
  • [10] Improved robust stability criteria for a class of Lur'e systems with interval time-varying delays and sector-bounded nonlinearity
    Duan, Wenyong
    Du, Baozhu
    You, Jing
    Zou, Yun
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (05) : 944 - 954
12345