Improved delay-dependent stability criteria for systems with nonlinear perturbations

被引:19
|
作者
He, Yong
Liu, Guo-Ping
Rees, David
Wu, Min [1 ]
机构
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Chinese Acad Sci, Inst Automat, CSIC Lab, Beijing 100864, Peoples R China
关键词
delay-dependent; time-varying interval delay; linear matrix inequality (LMI); nonlinear perturbations; H-INFINITY CONTROL; TIME-VARYING DELAY; LINEAR-SYSTEMS; ROBUST STABILITY; NEUTRAL SYSTEMS; STABILIZATION; STATE; BOUNDS;
D O I
10.3166/EJC.13.356-365
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 studies the delay-dependent robust stability for time-delay systems with nonlinear perturbations. A new method is proposed to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms. Improved delay-dependent stability criteria are established by taking into account the range for the time-delay. In addition, augmented Lyapunov functionals are introduced to derive less conservative delay-dependent stability conditions. Finally, numerical examples are given to demonstrate the effectiveness and the merits of the proposed method.
引用
收藏
页码:356 / 365
页数:10
相关论文
共 50 条
  • [21] Delay-dependent stability analysis for a class of dynamical systems with leakage delay and nonlinear perturbations
    Li, Xiaodi
    Fu, Xilin
    Rakkiyappan, R.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 226 : 10 - 19
  • [22] Improved robust stability criteria for time delay systems with nonlinear perturbations
    Parlakçi, MNA
    2005 INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), VOLS 1 AND 2, 2005, : 341 - 346
  • [23] Delay-dependent exponential stability criteria for neutral systems with interval time-varying delays and nonlinear perturbations
    Liu, Yajuan
    Lee, S. M.
    Kwon, O. M.
    Park, Ju H.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (10): : 3313 - 3327
  • [24] Delay-dependent robust stability criteria for neutral singular systems with time-varying delays and nonlinear perturbations
    Wang, Huijiao
    Xue, Anke
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 5446 - +
  • [25] Delay-dependent stability criteria for a class of linear systems with multiple time-varying delays and nonlinear perturbations
    Li, Boren
    Xu, Bugong
    Shi, Xuguang
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 7246 - 7249
  • [26] Improved delay-dependent stability criteria for linear systems with time-varying delay
    Qian Wei
    Liu Juan
    Bao Anping
    2009 IEEE INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING AND INTELLIGENT SYSTEMS, PROCEEDINGS, VOL 2, 2009, : 374 - +
  • [27] Improved Delay-Dependent Stability of Nonlinear Quadratic TS Fuzzy Systems
    Naamane, Khadija
    Tissir, El Houssaine
    JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2020, 29 (09)
  • [28] Delay-dependent stability domains of nonlinear delay systems
    Goubet-Bartholomeus, A
    Dambrine, M
    Richard, JP
    MATHEMATICS AND COMPUTERS IN SIMULATION, 1998, 45 (3-4) : 245 - 256
  • [29] Improved Results on Delay-dependent Stability for Neutral Systems with Mixed Time-varying Delays and Nonlinear Perturbations
    Zhou Xin
    Zhang Hexin
    Sun Peng
    Wu Yubin
    Hui Junjun
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 6597 - 6601
  • [30] Generalized criteria on delay-dependent stability of highly nonlinear hybrid stochastic systems
    Fei, Weiyin
    Hu, Liangjian
    Mao, Xuerong
    Shen, Mingxuan
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (05) : 1201 - 1215