Convex analysis and synthesis for uncertain discrete-time systems with time-varying state delay

被引：2
|
作者：
Miranda, Marcio F. [1 ]
Leite, Valter J. S. [2 ]
机构：
[1] Univ Fed Minas Gerais, COLTEC, Av Antonio Carlos 6627, BR-31270010 Belo Horizonte, MG, Brazil
[2] CEFET MG, BR-35502036 Divinopolis, MG, Brazil
来源：
2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12 | 2008年
关键词：
D O I：
10.1109/ACC.2008.4587272
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The class of polytopic uncertain discrete-time systems with time-varying delays is investigated in this paper. Firstly, some convex conditions are presented in the form of linear matrix inequalities (LMIs) to test robust stability. Then, LMI conditions to design robust state feedback gains are proposed. Both, delay-dependent and delay-independent conditions are formulated as convex feasibility problems employing extra matrices that yield less conservative results. Some numerical examples are presented to illustrate the application of the conditions for analysis and synthesis of robust state feedback gains.
引用
收藏
页码：4910 / +
页数：2
相关论文
共 50 条
  • [1] Stability of discrete-time uncertain systems with a time-varying state delay
    Chen, K-F
    Fong, I-K
    [J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2008, 222 (I6) : 493 - 500
  • [2] Reciprocal Convex Approach to Delay-dependent Stability of Uncertain Discrete-time Systems with Time-varying Delay
    Ramakrishnan, K.
    Ray, G.
    [J]. 2012 AMERICAN CONTROL CONFERENCE (ACC), 2012, : 5450 - 5453
  • [3] Robust stabilization of polytopic discrete-time systems with time-varying state delay: A convex approach
    Miranda, Marcio F.
    Leite, Valter J. S.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (04): : 568 - 588
  • [4] Robust discrete-time sliding mode control for uncertain systems with time-varying state delay
    Yan, M.
    Shi, Y.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (08): : 662 - 674
  • [5] Robust Stability of Uncertain Discrete-Time Switched Systems With Time-Varying Delay
    Mohammed, Charqi
    El Houssaine, Tissir
    Mohamed, Ouahi
    Noureddine, Chaibi
    [J]. 2018 INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND COMPUTER VISION (ISCV2018), 2018,
  • [6] Delay-dependent robust stabilisation of uncertain discrete-time switched systems with time-varying state delay
    Du, Dongsheng
    Jiang, Bin
    Zhou, Shaosheng
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2008, 39 (03) : 305 - 313
  • [7] Frequency domain analysis of uncertain time-varying discrete-time systems
    Orlowski, Przemyslaw
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2007, 26 (03) : 293 - 310
  • [8] Frequency Domain Analysis of Uncertain Time-Varying Discrete-Time Systems
    Przemyslaw Orlowski
    [J]. Circuits, Systems & Signal Processing, 2007, 26 : 293 - 310
  • [9] Nonfragile guaranteed cost control for uncertain nonlinear discrete-time systems with time-varying state delay
    Nan Xie
    Gong-You Tang
    [J]. 2006 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS, VOLS 1-6, PROCEEDINGS, 2006, : 3754 - +
  • [10] Robust Exponential Stability of Uncertain Discrete-Time Systems with Interval Time-Varying Delay
    Lien, Chang-Hua
    Chen, Jenq-Der
    Yu, Ker-Wei
    Lee, Chin-Tan
    Chen, Ruey-Shin
    Yang, Chyi-Da
    [J]. PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON INTELLIGENT TECHNOLOGIES AND ENGINEERING SYSTEMS (ICITES2013), 2014, 293 : 461 - 468
12345