An improved stabilization method for linear time-delay systems

被引:662
|
作者
Fridman, E [1 ]
Shaked, U [1 ]
机构
[1] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel
关键词
delay-dependent stability; linear matrix inequality (LMI); stabilization; time-delay systems; time-varying delay;
D O I
10.1109/TAC.2002.804462
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 note, we combine a new approach for linear time-delay systems based on a descriptor representation with a recent result on bounding of cross products of vectors. A delay-dependent criterion for determining the stability of systems with time-varying delays is obtained. This criterion is used to derive an efficient stabilizing state-feedback design method for systems with parameter uncertainty, of either the polytopic or the norm-bounded types.
引用
收藏
页码:1931 / 1937
页数:7
相关论文
共 50 条
  • [1] A Precise Stabilization Method for Linear Stochastic Time-Delay Systems
    Zhang, Huasheng
    Shao, Changan
    Geng, Han
    Zhang, Tingting
    [J]. ACTUATORS, 2022, 11 (11)
  • [2] Improved stability and stabilization approach to linear interconnected time-delay systems
    Mahmoud, Magdi S.
    [J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2010, 31 (02): : 81 - 92
  • [3] Stabilization for switched linear systems with time-delay
    Jing, L
    Wang, K
    Gao, LQ
    Li, JS
    [J]. 8TH WORLD MULTI-CONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL VIII, PROCEEDINGS: CONTROL, COMMUNICATION AND NETWORK SYSTEMS, TECHNOLOGIES AND APPLICATIONS, 2004, : 316 - 319
  • [4] STABILIZATION OF A CLASS OF LINEAR TIME-DELAY SYSTEMS
    THOWSEN, A
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1981, 12 (12) : 1485 - 1492
  • [5] Improved Stabilization Criteria for Neutral Time-Delay Systems
    Xiong, Lianglin
    Zhang, Haiyang
    Li, Yongkun
    Liu, Zixin
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
  • [6] On the stability and stabilization of linear neutral time-delay systems
    Nian, XH
    Gui, WH
    Huang, ZW
    [J]. INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS, VOL 1-4, PROCEEDINGS, 2005, : 3769 - 3774
  • [7] Improved Stabilization Method for Time-Delay T-S Fuzzy Systems
    Zhao, Xin
    Lin, Chong
    Chen, Bing
    Liu, Huangxia
    Liu, Zhiliang
    Yang, Yuxia
    [J]. PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019), 2019, : 4100 - 4105
  • [8] Feedback Stabilization of Linear Systems with Distributed Input Time-delay by Backstepping Method
    Jia, Chaohua
    [J]. PROCEEDINGS OF THE SIXTEENTH INTERNATIONAL SYMPOSIUM ON ARTIFICIAL LIFE AND ROBOTICS (AROB 16TH '11), 2011, : 107 - 109
  • [9] A GENERALIZED APPROACH TO STABILIZATION OF LINEAR INTERCONNECTED TIME-DELAY SYSTEMS
    Mahmoud, Magdi S.
    Xia, Yuanqing
    [J]. ASIAN JOURNAL OF CONTROL, 2012, 14 (06) : 1539 - 1552
  • [10] AN IMPROVED H∞ STABILIZATION CONDITION FOR SINGULAR TIME-DELAY SYSTEMS
    Feng, Yi-Fu
    Zhu, Xun-Lin
    Zhang, Qing-Ling
    [J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2010, 6 (05): : 2025 - 2034