Positive Realness of a Class of Uncertain Linear Discrete-time Systems with Constant State Delay

被引:0
|
作者
Meng, Xianji [1 ]
机构
[1] Shenyang Normal Univ, Coll Math & Syst Sci, Shenyang 110034, Peoples R China
关键词
Realness; Time-delay; Jensen Inequality; Linear Matrix Inequalities(LMIs); H-INFINITY; DESCRIPTOR SYSTEMS; INVARIANT SYSTEMS; ROBUST STABILITY;
D O I
10.1109/CCDC.2009.5192442
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 paper is concerned with the problems of positive real analysis and control synthesis for discrete-time systems with time-invariant state delay and parameter uncertainties. Motivated by the results of [1], linear matrix inequality (LMI) characterizations of positive realness for discrete delay systems with/without uncertainties are derived, which enable one to check the positive realness by using parameter-dependent Lyapunov function. Numerical examples are included for illustration.
引用
收藏
页码:4094 / 4099
页数:6
相关论文
共 50 条
  • [21] Robust stabilization for a class of uncertain discrete-time switched linear systems
    Chen, Song-Lin
    Yao, Yu
    Ma, Jie
    PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2008, : 2352 - 2356
  • [22] Analysis and control of a class of uncertain linear periodic discrete-time systems
    Sun, Kai
    Xie, Guang-ming
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2009, 30 (04) : 475 - 488
  • [23] Analysis and control of a class of uncertain linear periodic discrete-time systems
    孙凯
    谢广明
    AppliedMathematicsandMechanics(EnglishEdition), 2009, 30 (04) : 475 - 488
  • [24] Robust stability analysis for a class of uncertain discrete-time linear systems
    Ren Junchao
    Fang Zheng
    Zhang Qingling
    Li Xiaojian
    Liu Zhilai
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1464 - 1467
  • [25] Strict positive realness for linear time-delay systems
    Lu, GP
    Ho, DWC
    Yeung, LF
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2003, 34 (01) : 1 - 9
  • [27] Robust stability of a class of uncertain discrete-time switched systems with time-delay
    Zhang, Ying
    Duan, Guangren
    He, Liang
    ISSCAA 2006: 1ST INTERNATIONAL SYMPOSIUM ON SYSTEMS AND CONTROL IN AEROSPACE AND ASTRONAUTICS, VOLS 1AND 2, 2006, : 849 - +
  • [28] Diagonal stability of a class of discrete-time positive switched systems with delay
    Aleksandrov, Alexander
    Mason, Oliver
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (06): : 812 - 818
  • [29] POSITIVE-REALNESS IN DISCRETE-TIME ADAPTIVE-CONTROL SYSTEMS
    BARKANA, I
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1986, 17 (07) : 1001 - 1006
  • [30] Robust Quadratic Stabilizability and H∞ Control of Uncertain Linear Discrete-Time Stochastic Systems with State Delay
    Jiang, Xiushan
    Tian, Xuemin
    Zhang, Weihai
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016