DELAY-RANGE-DEPENDENT BOUNDED REAL LEMMA FOR TIME-DELAY SYSTEMS

被引：3
|
作者：
Li, Tao [1 ,2 ]
Guo, Lei [2 ,3 ]
Lin, Chong [4 ]
Zhang, Yuming [4 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Dept Informat & Commun, Nanjing 210044, Peoples R China
[2] Southeast Univ, Res Inst Automat, Nanjing 210096, Peoples R China
[3] Beihang Univ, Sch Instrument Sci & Optoelect Engn, Beijing 100083, Peoples R China
[4] Qingdao Univ, Coll Automat Engn, Inst Complex Sci, Qingdao 266071, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2008年 / 10卷 / 06期
基金：
美国国家科学基金会;
关键词：
Delay-range-dependent; uncertain; bounded real lemma; linear fractional form; linear matrix inequality;
D O I：
10.1002/asjc.71
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, Bounded Real Lemma (BRL) for linear systems with time-varying delay in a range is described. Unlike previous results, the low bound of the range is not restricted to be 0. Based on a new Lyapunov-Krasovskii functional, a del ay-range-dependent BRL is obtained in term of linear matrix inequality. It is shown that this new BRL can provide less conservative results than some existing ones. When time-varying linear fractional form uncertainties appear in the delay system, a robust del ay-range-dependent BRL is also given. Numerical examples are given to demonstrate the applicability of the proposed approach.
引用
收藏
页码：708 / 717
页数：10
相关论文
共 50 条
  • [31] Delay-dependent stability criterion for a class of neutral time-delay systems
    Yang, B
    Zhu, RJ
    Li, T
    PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 2694 - 2696
  • [32] Delay-dependent robust H∞ filtering for time-delay interval systems
    Jong, GJ
    Su, TJ
    Lu, CY
    Tsai, JSH
    2003 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS, VOLS 1-5, CONFERENCE PROCEEDINGS, 2003, : 3159 - 3163
  • [33] Delay dependent guaranteed cost control for linear uncertain time-delay systems
    Chen, GD
    Yang, MY
    Yu, L
    Chu, J
    PROCEEDINGS OF THE 3RD WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-5, 2000, : 3363 - 3367
  • [34] AN IMPROVED DELAY-DEPENDENT BOUNDED REAL LEMMA (BRL) AND H∞ CONTROLLER SYNTHESIS FOR LINEAR NEUTRAL SYSTEMS
    Parlakci, Mehmet Nur Alpaslan
    ASIAN JOURNAL OF CONTROL, 2012, 14 (02) : 580 - 597
  • [35] New Approach to Delay-dependent Control for Fuzzy Time-delay Systems
    Guo, Gang
    ADVANCED COMPOSITE MATERIALS, PTS 1-3, 2012, 482-484 : 291 - 299
  • [36] Delay-Dependent Robust H∞ Control for Singular Time-delay Systems
    Liu Lili
    Wu Baowei
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2233 - 2238
  • [37] Delay-range-dependent stability criteria for delayed discrete-time Lur’e system with sector-bounded nonlinearities
    Wenyong Duan
    Chenxiao Cai
    Nonlinear Dynamics, 2014, 78 : 135 - 145
  • [38] A delay-range-dependent approach to global robust stability for discrete-time uncertain recurrent neural networks with interval time-varying delay
    Lu, C. Y.
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2007, 221 (I8) : 1123 - 1132
  • [39] Delay-range-dependent stability criteria for delayed discrete-time Lur'e system with sector-bounded nonlinearities
    Duan, Wenyong
    Cai, Chenxiao
    NONLINEAR DYNAMICS, 2014, 78 (01) : 135 - 145
  • [40] Further improvement on delay-range-dependent stability results for linear systems with interval time-varying delays
    Liu, Pin-Lin
    ISA TRANSACTIONS, 2013, 52 (06) : 725 - 729
12345