Novel Stabilization Conditions for Uncertain Singular Systems with Time-Varying Delay

被引:1
作者
Ding, Yuanchun [1 ]
Weng, Falu [2 ]
Ge, Ji [3 ]
Liang, Qi [1 ]
Zhi, Xueyi [1 ]
机构
[1] Jiangxi Univ Sci & Technol, Jiangxi Key Lab Min Engn, Ganzhou 341000, Jiangxi, Peoples R China
[2] Jiangxi Univ Sci & Technol, Fac Elect Engn & Automat, Ganzhou 341000, Jiangxi, Peoples R China
[3] Univ Toronto, Dept Mech & Ind Engn, Toronto, ON M5S 3G8, Canada
关键词
ROBUST STABILIZATION; STRUCTURAL SYSTEMS; STABILITY-CRITERIA; DESIGN;
D O I
10.1155/2014/796596
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The problem of delay-dependent robust stabilization for continuously singular time-varying delay systems with norm-bounded uncertainties is investigated in this paper. First, based on some mathematical transform, the uncertain singular system is described in a form which involves the time-delay integral items. Then, in terms of the delay-range-dependent Lyapunov functional and the LMI technique, the improved delay-dependent LMIs-based conditions are established for the uncertain singular systems with time-varying delay to be regular, causal, and stable. Furthermore, by solving these LMIs, an explicit expression for the desired state feedback control law can be obtained; thus, the regularity, causality, and stability of the closed-loop system are guaranteed. In the end, numerical examples are given to illustrate the effectiveness of the proposed methods.
引用
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页数:8
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共 34 条
  • [1] [Anonymous], 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475
  • [2] Ding YC, 2013, SHOCK VIB, V20, P297, DOI [10.3233/SAV-2012-00745, 10.1155/2013/478796]
  • [3] Ding Y.C., 2013, J INFORM COMPUTATION, V10, P6067
  • [4] Finite-Time Vibration-Attenuation Controller Design for Structural Systems with Parameter Uncertainties
    Ding, Yuanchun
    Weng, Falu
    Ge, Ji
    Liang, Liming
    Yang, Guoliang
    [J]. ADVANCES IN MECHANICAL ENGINEERING, 2014,
  • [5] Active Vibration Attenuation for Uncertain Buildings Structural Systems with Sensor Faults
    Ding, Yuanchun
    Weng, Falu
    Liang, Liming
    [J]. JOURNAL OF COMPUTERS, 2013, 8 (12) : 3072 - 3078
  • [6] Synchronization and Control of Linearly Coupled Singular Systems
    Fang Qingxiang
    Peng Jigen
    Cao Feilong
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [7] New delay-dependent criteria for stability and stabilization of uncertain singular systems with time delay
    Gao, Jinfeng
    Lei, Meizhen
    Pan, Haipeng
    [J]. 2009 IEEE INTERNATIONAL CONFERENCE ON AUTOMATION AND LOGISTICS ( ICAL 2009), VOLS 1-3, 2009, : 703 - 708
  • [8] Exponential stability of singular systems with multiple time-varying delays
    Haidar, Ahmad
    Boukas, E. K.
    [J]. AUTOMATICA, 2009, 45 (02) : 539 - 545
  • [9] He P, 2013, INT J AUTOM CONTROL, V7, P223
  • [10] Hu H., 2008, INT J INFORM SYSTEMS, V4, P534