Robust stability of parameter uncertain systems with limited data rates

被引：1
|
作者：
Liu, Qing-Quan [1 ,2 ]
Yang, Guang-Hong [1 ,3 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang, Peoples R China
[2] Shenyang Ligong Univ, Sch Informat Sci & Engn, Shenyang, Peoples R China
[3] Northeastern Univ, State Key Lab Integrated Automat Proc Ind, Shenyang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2013年 / 44卷 / 08期
关键词：
parameter uncertain systems; limited data rates; robust stability; time-varying recursive allocation algorithm; FEEDBACK STABILIZATION; LINEAR-SYSTEMS; COMMUNICATION; CONSTRAINTS; STABILIZABILITY; CHANNELS; CAPACITY; BODE;
D O I：
10.1080/00207721.2012.659687
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 article investigates the robust stability problem for parameter uncertain systems with limited data rates. A time-varying recursive allocation (TVRA) algorithm is proposed to solve the modal decomposition and data-rate allocation problems that have to be faced for a multi-dimensional uncertain system. Sufficient conditions for robust stability of the feedback loop are derived. A positive critical lower bound of data rates is presented, below which there exists no quantisation, coding and control scheme to stabilise an unstable parameter uncertain plant. Simulation results show the validity of the proposed scheme.
引用
收藏
页码：1426 / 1437
页数：12
相关论文
共 50 条
  • [11] Robust stability of uncertain linear quantum systems
    Petersen, Ian R.
    Ugrinovskii, Valery
    James, Matthew R.
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2012, 370 (1979): : 5354 - 5363
  • [12] Robust stability of uncertain impulsive dynamical systems
    Liu, B
    Liu, XZ
    Liao, XX
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 290 (02) : 519 - 533
  • [13] Robust Stability of Uncertain Packet-Based Networked Control Systems
    Tang Bin
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 6605 - 6610
  • [14] Robust stability and stabilizability of uncertain linear hybrid systems with state delays
    Phat, VN
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (02) : 94 - 98
  • [15] On the Robust Stability of Uncertain Discrete-Time Networked Control Systems Over Fading Channels
    Su, L.
    Chesi, G.
    2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 6010 - 6015
  • [16] Robust stability of fuzzy-parameter systems
    Le Hung Lan
    Automation and Remote Control, 2005, 66 : 596 - 605
  • [17] Robust stability for uncertain neutral systems with mixed delays
    Qian W.
    Shen G.-J.
    Sun Y.-X.
    Zhejiang Daxue Xuebao(Gongxue Ban)/Journal of Zhejiang University (Engineering Science), 2010, 44 (02): : 232 - 236
  • [18] Robust stability of a class of hybrid dynamic uncertain systems
    Li, ZG
    Soh, CB
    Xu, XH
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1998, 8 (12) : 1059 - 1072
  • [19] Robust stability of uncertain discrete impulsive switching systems
    Zhang, Zhigang
    Liu, Xinzhi
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (02) : 380 - 389
  • [20] Robust stability of uncertain time-delay systems
    Huang, YP
    Zhou, KM
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (11) : 2169 - 2173
12345